Linearity

Problem 3301

6x+x-6 x+x

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Problem 3302

The number of households in a local school district has been increasing linearly over the last ten years. In 2010, there were 985 households, and in 2020 there were 1579 households.
Question 2/10
Use this information to create a linear model for the number of households in the school district. Let H represent the number of households at tt represent the number of years since 2010.

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Problem 3303

4x5x=-4 x-5 x=

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Problem 3304

The number of households in a local school district has been increasing linearly over the last ten years. In 2010, there were 985 households, and in 2020 there were 1579 households.
Question 3/10
Let H represent the number of households at tt represent the number of years since 2010. The linear model for the number of households in the school district is H=59.4t+985H=59.4 t+985
Use the linear model to predict the number of households in 2025.

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Problem 3305

8y(8y)8 y-(-8 y)

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Problem 3306

x(10x)-x-(-10 x)

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Problem 3307

2y+y+4-2 y+\geqslant y+4

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Problem 3308

Solve the system of linear equations and check any solutions algebraic number a.) {x+2y7z=72x+y+z=283x+9y36z=63(x,y,z)=()\begin{array}{l} \left\{\begin{array}{rr} x+2 y-7 z= & -7 \\ 2 x+y+z= & 28 \\ 3 x+9 y-36 z= & -63 \end{array}\right. \\ (x, y, z)=(\square) \end{array}

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Problem 3309

Solve the system of equations by graphing: {y4x=18y+4x=22\left\{\begin{array}{l} y-4 x=-18 \\ y+4 x=22 \end{array}\right.
Answer: (x,y)=(x, y)= \square , \square

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Problem 3310

Question 12 You are offered two different sales jobs. The first company offers a straight commission of 5%5 \% of the sales. The second company offers a salary of $440\$ 440 per week plus 3%3 \% of the sales. How much would you have to sell in a week in order for the straight commission offer to be at least as good?

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Problem 3311

Solve the system of linear equations using the elimination method. 13x23y+z=12x34y+z=2xy+z=2xy+4\begin{array}{l} \frac{1}{3} x-\frac{2}{3} y+z= \\ \frac{1}{2} x-\frac{3}{4} y+z= \\ -2 x-y+z= \\ -2 x-y+4 \end{array}
The unique solution to the system is \square \square , ). (Type an exact answer in simplified form.)

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Problem 3312

Solve the system with the addition method: {6x+6y=33x5y=4\left\{\begin{array}{l} 6 x+6 y=-3 \\ 3 x-5 y=-4 \end{array}\right.
Answer: (x,y)=((x, y)=( , \square )
Preview xx Preview y Enter your answers as integers or as reduced fraction(s) in the form A/B.

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Problem 3313

Solve by the elimination method. 2x=52+5y3x=22y\begin{array}{l} 2 x=52+5 y \\ 3 x=2-2 y \end{array}
Select the correct choice below and fill in any answer boxes in your choice. A. There is one solution. The solution of the system is \square . (Simplify your answer. Type an ordered pair.) Incomplete B. There are infinitely many solutions of the form ( xx, \square ). (Simplify your answer.) C. There is no solution.

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Problem 3314

2. The cost of auto repairs at a dealership is $175\$ 175 for the parts plus $25\$ 25 per hour for labor. The cost of the same repairs at a neighborhood garage is $190\$ 190 for the parts plus $22.50\$ 22.50 per hour for labor. State your answers in context. a) Create and solve an algebraic model to determine when the cost of repairs at the neighborhood garage is less than the cost of repairs at the dealership.

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Problem 3315

\text{Your sister tells you that she will do the whole job for \$300, parts included. How many hours of labor would be required at the neighborhood garage to make the cost at the garage exceed what your sister will charge for the job? (Use a model to answer this.)} \\
\text{The hourly labor rate at the neighborhood garage is \$6 per hour.} \\

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Problem 3316

Determine whether 14 is a solution of the equation 6(x2)=706(x-2)=70. Is 14 a solution? No Yes

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Problem 3317

Solve the system. If there is no solution or if there are infinitely many solutions and the system's equations are dependent, so state. 2x10y+6z=10x+2yz=010xyz=27\begin{array}{rr} 2 x-10 y+6 z= & -10 \\ x+2 y-z= & 0 \\ 10 x-y-z= & -27 \end{array}
Select the correct choice below and fill in any answer boxes within your choice. A. There is one solution. The solution set is \{( \square , \square \square )\}. (Simplify your answers.) B. There are infinitely many solutions. C. There is no solution.

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Problem 3318

4. The ratio of "D"s to "A"s in the school was 8 to 21 . If there were 572 As in the school this term, how many Ds were there? 1502 304 218 1762

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Problem 3319

There's a roughly linear relationship between the length of someone's femur (the long leg-bone in your thigh) and their expected height. Within a certain population, this relationship can be expressed using the formula h=62.6+2.35fh=62.6+2.35 f, where hh represents the expected height in centimeters and ff represents the length of the femur in centimeters. What is the meaning of the hh-value when f=49f=49 ?
Answer
The expected height for someone with a femur length of 177.75 centimeters.
The femur length for someone with an expected height of 49 centimeters.
The change in expected height for every one additional centimeter of femur length.
The expected height for someone with a femur length of 49 centimeters.
Submit Answer

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Problem 3320

A person invested $8100\$ 8100 for 1 year, part at 7%7 \%, part at 11%11 \%, and the remainder at 13%13 \%. The total annual income from these investments was $915\$ 915. The amount of money invested at 13%13 \% was $300\$ 300 more than the amounts invested at 7%7 \% and 11%11 \% combined. Find the amount invested at each rate.
The person invested $\$ \square at 7$7 \$ \square at 11 and \ \squareat at 13 \%$.

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Problem 3321

13. [-/1 Points] DETAILS MY NOTES LARPCALC11 8.1.056.MI.
Write a system of linear equations represented by the augmented matrix. (Use x,yx, y, and zz as you order as they appear in the augmented matrix. Do not perform any row operations.) [1221011110013]\left[\begin{array}{rrr:r} 1 & 2 & -2 & -1 \\ 0 & 1 & 1 & 11 \\ 0 & 0 & 1 & -3 \end{array}\right] \square \square
Use back-substitution to solve the system. (x,y,z)=()(x, y, z)=(\square) \square

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Problem 3322


To solve the equation below, what is the correct first step?
10x+710x=1510 x+7-10 x=15
Simplify the left side by combining the 10x10 x and 10x-10 x. Subtract 10x from both sides of the equation. Simplify by combining the 7 and 15 . Divide both sides by 10x10 x.

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Problem 3323

Solve the system using substitution or elimination (no calculators). {x+2y=7x2y=1\left\{\begin{array}{l} x+2 y=7 \\ x-2 y=-1 \end{array}\right.
Solution(s): \square For no solution type DNE.

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Problem 3324

Find two numbers aa and bb whose sum a+ba+b is 0 and whose difference aba-b is 10 . Your answer is a=a= b=b=

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Problem 3325

Cost, Revenue \& Profit For these problems, xx will represent the number of items and yy will represent the money. The fixed costs for a certain item are $120\$ 120 per week. The cost to produce each item is $8\$ 8 per item. Using this information, what is the cost equation? Give your answer in slope-intercept form: y=y= \square
The retailer intends to sell each item for $10/\$ 10 / item. Using this information, what is the revenue equation? Give your answer in slope-intercept form: y=y= \square
If in this week 84 items are made, and all items are sold in the week, what are the total costs to the retailer? Cost =$=\$ \square What is the revenue from selling 84 items? Revenue = \ \squareFinally,whatistheprofitforthisretailer?Profit Finally, what is the profit for this retailer? Profit =\$$ $\square$

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Problem 3326

11. How many solutions does the equation below have? 2x+5=2x+52 x+5=2 x+5 Two Solutions Infinitely Many Solutions One Solution No Solution

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Problem 3327

n413n-4 \geq 13

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Problem 3328

n413n-4 \geq 13

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Problem 3329

The given bar graph shows the number of rooms, bathrooms, fireplaces, and elevators in the building. Combined, there are 203 rooms, bathrooms, fireplaces, and elevators. The number of rooms exceeds the number of bathrooms and fireplaces by 72 . The difference between the number of fireplaces and elevators is 25 . If the number of bathrooms is tripled, it exceeds the number of fireplaces and elevators by 77 . Determine the number of rooms, bathrooms, fireplaces, and elevators in the building.
The number of rooms is \square , the number of bathrooms is \square , the number of fireplaces is \square , and the number of elevators is \square in the building.

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Problem 3330

When proportional relationships are graphed, the points the line runs through can be used to find the constant of proportionality.
This line runs through points (2,2),(4,4),(6,6)(2,2),(4,4),(6,6), and (8,8)(8,8). First, find the proportion of this relationship by choosing one point and inserting its coordinates into the proportion equation. k=y2y1x2x1 or k=4242=22=1k=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \text { or } k=\frac{4-2}{4-2}=\frac{2}{2}=1
The constant of proportionality for this line is 1.
Find the constant of proportionality for each graph. I. k=k= \qquad 2. k=k= \qquad b k=k= \qquad k=k= \qquad Math

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Problem 3331

Problem 3 The functions f(x)f(x) and g(x)g(x) are defined by these equations. - f(x)=15x+80f(x)=-15 x+80 - g(x)=10x+25g(x)=10 x+25
Which is greater: f(2)f(2) or g(2)g(2) ? f(2) g(2)g(2)

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Problem 3332

Question 1-2 Write an equation for the inverse of g(x)=3x8g(x)=3 x-8. g1(x)=8x3g^{-1}(x)=8 x-3 g1(x)=13x+8g^{-1}(x)=\frac{1}{3} x+8 g1(x)=x+83g^{-1}(x)=\frac{x+8}{3} g1(x)=x+83g^{-1}(x)=x+\frac{8}{3}

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Problem 3333

Solve the inequality. x79x[?]\begin{array}{l} x-7 \leq 9 \\ x \leq[?] \end{array}

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Problem 3334

taneous equations. uw=93u+w=19\begin{array}{r} u-w=9 \\ 3 u+w=19 \end{array}
Answer u=u= \qquad w=w= \qquad [2]

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Problem 3335

Examples 2 and 3 Find the inverse of each function. Then graph the function and its inverse. If necessary, restrict the domain of the inverse so that it is a function.
5. f(x)=x+2f(x)=x+2
6. g(x)=5xg(x)=5 x
7. f(x)=2x+1f(x)=-2 x+1
8. h(x)=x43h(x)=\frac{x-4}{3}
9. f(x)=53x8f(x)=-\frac{5}{3} x-8
10. g(x)=x+4g(x)=x+4
11. f(x)=4xf(x)=4 x
12. f(x)=8x+9f(x)=-8 x+9
13. f(x)=5x2f(x)=5 x^{2}
14. h(x)=x2+4h(x)=x^{2}+4

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Problem 3336

10/10
How can you check if an ordered pair is the solution to the system of equations?
By ensuring the pair is on the graph
By checking if the pair satisfies both equations
By confirming the pair is not on the graph
By checking if the pair satisfies at least one equation

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Problem 3337

Graph the system! y=53x+3y=13x3\begin{array}{l} y=-\frac{5}{3} x+3 \\ y=\frac{1}{3} x-3 \end{array}
What is the solution? Try again! Submit

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Problem 3338

Solve the following system of equations and fill in the values below: 40x+5y=2015x3y=1255x+2y=8\begin{array}{l} 40 x+5 y=-20 \\ 15 x-3 y=12 \\ 55 x+2 y=-8 \end{array}
The solution is x= Blank 1\mathrm{x}=\underline{\text { Blank } 1} and y=\mathrm{y}= Blank 2 .
Blank 1 Add your answer

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Problem 3339

Practice Test Content Page 14 of 20
Question 14 5 Point
Assume that the linear cost and revenue models apply and let xx be the number of items.. An item costs $15\$ 15 to make. If fixed costs are $3700\$ 3700 and profits are $4300\$ 4300 when 200 items are made and sold, find then the revenue equation is: R(x)= Blank 1R(x)=\text { Blank } 1 (Please enter a simplified expression involving whole numbers and the variable x ) Blank 1 Add your answer

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Problem 3340

12r18=13r+1812 r-18=13 r+18

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Problem 3341

9:54 AM Mon Nov 25 Done AA myopenma
Optional Module 7 Practice Test Score: 163.5/270 Answered: 20/27
Question 18
Solve the system with the addition method: {4x3y=36x4y=2\left\{\begin{array}{l} 4 x-3 y=3 \\ 6 x-4 y=2 \end{array}\right.
Answer: (x,y)=((x, y)=( \square Preview xx Preview yy Enter your answers as integers or as reduced fraction(s) in the form A/B. Question Help: Video Submit Question

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Problem 3342

Solve this system of equations {4x+4y=323xy=3xx=y=\begin{array}{l} \left\{\begin{array}{l} 4 x+4 y=-32 \\ 3 x-y= \\ 3 x \end{array}\right. \\ x=\square \\ y=\square \end{array}
Question Help: Video
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Problem 3343

Practice Test Answered: 22/27 Question 26
Solve the system with the addition method: {5x+y=233x6y=24\left\{\begin{array}{l} -5 x+y=23 \\ 3 x-6 y=24 \end{array}\right.
Answer: (x,y)=1(x, y)=1 \square \square Preview xx Preview yy Enter your answers as integers or as reduced fraction(s) in the form A/B. Question Help: ■ Video Submit Question

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Problem 3344

Terrell arranges xx roses at $3.50\$ 3.50 each with 10 carnations at $2.25\$ 2.25 each. He makes a bouquet of flowers that averages $3.00\$ 3.00 per flower. Select the equation that models the situation. A. 3.50x+2.25(10)=3(x+10)3.50 x+2.25(10)=3(x+10) B. 3.50x+2.25=0.75x3.50 x+2.25=0.75 x C. 3.50x+3=22.5(x+10)3.50 x+3=22.5(x+10) D. 3.50x+2.50=0.75(x+10)3.50 x+2.50=0.75(x+10)

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Problem 3345

Solve the equation E=v+IrE=v+I r for rr. A. r=EvIr=\frac{E-v}{I} B. r=I(Ev)r=I(E-v) C. r=v+IEr=\frac{v+I}{E} D. r=EvIr=E-v-I

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Problem 3346

n÷3<18n \div 3<18

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Problem 3347

MTH1 W1, Unit 5- Solving Equations and Word Problems
Lesson 1- Homework Solve each equation in the space provided. Show work-properly, carefully, and neatly! ! a) 5x=37+85 x=37+8 x=256x=5x=\frac{25}{6} \quad x=5. d) g) 5x2+x=9+3x+105 x-2+x=9+3 x+10 h) b) 4x+9=114 x+9=-11 9x=11.9x=204=5\begin{array}{l} 9 x=-11.9 \\ x=\frac{-20}{4}=-5 \end{array} e) e) \quad f) 87x=417x=4187x=49x=497x=77x=4187x=49x=497x=77x=4187x=49x=49x=7 c) 2x\begin{array}{l} 8-7 x=-41 \\ \begin{array}{r} -7 x=-41-8 \\ -7 x=-49 \\ x=\frac{-49}{-7} \\ x=7 \end{array} \\ \begin{array}{r} -7 x=-41-8 \\ -7 x=-49 \\ x=\frac{-49}{-7} \\ x=7 \end{array} \\ \begin{aligned} -7 x & =-41-8 \\ -7 x & =-49 \\ x & =-49 \\ x & =7 \end{aligned} \\ \text { c) } \\ -2 x \end{array} 7x5=6x+69x+4=8x37 x-5=6 x+6 \quad 9 x+4=8 x-3 7x6x+57 x-6 x+5 i) 5x+5x=7+x25 x+5-x=-7+x-2
Solutions a)5 b) -5 c) 7 d) -7 e) 11 f) -7 g)7 h) 143\frac{-14}{3} i) 52\frac{5}{2}

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Problem 3348

Linear Functions H of 5 - e slope of a line that passes through the points (2,1)(2,-1) and (3,4)(-3,4). B -3

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Problem 3349

(5x+10)(18x+6)=0(5 x+10)(18 x+6)=0

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Problem 3350

For which values of A,BA, B, and CC will Ax+By=CA x+B y=C be a horizontal line through the point (4,2)?(-4,2) ? A=,B=,C=A=\square, B=\square, C=\square

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Problem 3351

Find the slope and yy-intercept of the line. f(x)=5x4f(x)=5 x-4

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Problem 3352

In a certain urban area, the relationship between the number of students, xx, in thousands, and the number of schools, yy, has an xx-intercept of -4 and a slope of 34\frac{3}{4}. Write an equation for this relationship in standard form. \square xx- \square y=y= \square

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Problem 3353

15. Find a value of pp that will result in one solution for this system. Then find the solution. 3x+y=2pxy=12\begin{array}{l} 3 x+y=-2 \\ p x-y=-12 \end{array}

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Problem 3354

Find the slope and yy-intercept of the line. 2x3y=6-2 x-3 y=-6

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Problem 3355

Dwayne will spend $80\$ 80 on video games. Used video games cost $10\$ 10 each, and new video games cost $20\$ 20 each. Let xx represent the number of used video games and let yy represent he number of new video games he can buy. Which ordered pairs represent possible combinations of video games that Dwayne can buy? A. (0,4)(0,4) B. (2,3)(2,3) C. (1,6)(1,6) D. (7,2)(7,2) E. (8,0)(8,0)

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Problem 3356

Use the points shown on the graph to determine the slope of the line.
Find the slope of the equation. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a simplified fraction.) A. The slope is undefined. B. The slope of the line is -3 .

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Problem 3357

of games in a community center. They charge $8\$ 8 per person for entry into the event. The group wol to earn at least $600\$ 600, after paying for the cost of renting the space, which is $40\$ 40 an hour.
1. If xx represents the number of entry tickets sold and yy the hours of space rental, which inequal represents the constraints in the situation? a. 8x40y<6008 x-40 y<600 b. 8x40y6008 x-40 y \leq 600 c. 8x40y>6008 x-40 y>600 d. 8x40y6008 x-40 y \geq 600

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Problem 3358

{4x4y=4x+4y=4\left\{\begin{array}{c}4 x-4 y=-4 \\ x+4 y=4\end{array}\right.

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Problem 3359

The line y14=6(x2.5)y-14=6(x-2.5) represents Barry's profit, yy, from selling xx paintings, after buying some canvas. What was the cost of the canvas? \$

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Problem 3360

Find the inverse of the function. Is the inverse a function? f(x)=2x8f1(x)=\begin{array}{l} f(x)=2 x-8 \\ f^{-1}(x)=\square \end{array} \square (Simplify your answer. Use integers or fractions for any numbers in the expression.)

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Problem 3361

Exercice n5\mathrm{n}^{\circ} 5 ( 5 pts ). (Relations binaires). Les questions suivantes sont indépendantes 1) On définit sur R2\mathbb{R}^{2} la relation \ll par: (x,y)(x,y)xxyy(x, y) \ll\left(x^{\prime}, y^{\prime}\right) \Leftrightarrow\left|x^{\prime}-x\right| \leq y^{\prime}-y. Vérifier qu'il s'agit d'ume relation d'ordre. Cet ordre est-il total ? 2) On définit sur R2\mathbb{R}^{2} la relation S\mathcal{S} par: (x,y)S(x,y)x5y=x5y(x, y) \mathcal{S}\left(x^{\prime}, y\right) \Leftrightarrow x-5 y^{\prime}=x^{\prime}-5 y a) Montrer que S\mathcal{S} est une relation d'équivalence. b) Vérifier que la classe d'équivalence du couple (0,0)(0,0) est une droite D\mathcal{D} à préciser.

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Problem 3362

{4x16y=02x+8y=4\left\{\begin{array}{l}4 x-16 y=0 \\ -2 x+8 y=-4\end{array}\right.

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Problem 3363

Gegeben ist die lineare Funktion f mit der Gleichung y=0,5x2\mathrm{y}=0,5 \mathrm{x}-2 a) Übernehmen Sie die folgende Wertetabelle und vervollständigen Sie diese für die Funktion f. \begin{tabular}{|c|c|c|c|c|} \hlinexx & -3 & 0 & 1 & 6 \\ \hlineyy & & & & \\ \hline \end{tabular}
Zeichnen Sie den Graphen der Funktion ff in ein Koordinatensystem. b) Geben Sie für y=1y=-1 den zugehörigen Wert für xx an. c) Der Graph der Funktion ff schneidet die xx-Achse im Punkt SS.
Geben Sie die Koordinaten des Punktes SS an. d) Durch den Punkt P(1;1)P(1 ; 1) verläuft der Graph der Funktion g parallel zum Graphen der Funktion f. Zeichnen Sie den Graphen der Funktion g in dasselbe Koordinatensystem. Für Aứgabe 2 erreichbare BE: 6

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Problem 3364

1. In 8x+y=28 x+y=2, what is the coefficient of yy ?
HIDE ANSWER
Answer:
1

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Problem 3365

7 Complete the equation so that it has infinitely many solutions. 4(x62)=14(2x4\left(\frac{x}{6}-2\right)=\frac{1}{4}(2 x- \qquad

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Problem 3366

{5xy<0y<x\begin{cases} 5x - y < 0 \\ y < x \end{cases}

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Problem 3367

Find the value of r+3r+3, when r2=5\frac{r}{2}=5. r+3=r+3=\ldots

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Problem 3368

Solve the inequality for ww. 49w610-\frac{4}{9} w-6 \leq-10
Simplify your answer as much as possible. \square

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Problem 3369

10.
If f(x)=612xf(x)=-6-12 x and f(x)=18f(x)=18 what is the value of xx ? A -222 B -2 C 2 D 222

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Problem 3370

屯 Importea coodle champion is... Harvard Social Stud... My Drive - Google Dr. Play Unblocked Ga_- BitPlanes ; A. An Fun 3 Library - EatremeMa
Graph these equations: y=2xy=2x\begin{array}{l} y=2 x \\ y=2 x \end{array}
Click to select points on the graph. y=2xy=2xy=2 x \quad y=2 x

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Problem 3371

Fina the slope and the yy-intercept of the line. y=x+3y=x+3 slope:
Undefined yy-intercept: \square

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Problem 3372

Write a system of linear equations for the graph below. {y=y=\left\{\begin{array}{l} y= \\ y= \end{array}\right. \square \square

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Problem 3373

Question 3 of 10, Step 1 of 1 WILLIAM BURRIS 1/101 / 10 Correct
Use a system of equations to solve the following problem.
An investor decides to invest some cash in an account paying 6%6 \% annual interest, and to put the rest in a stock fund that ends up earning 9%9 \% over the course of a year. The investor puts $800\$ 800 more in the first account than in the stock fund, and at the end of the year finds the total interest from the two investments was $1950\$ 1950. How much money was invested at each of the two rates? Round to the nearest integer.
Answer How to enter your answer (opens in new window) Keypad Keyboard Shortcuts \ \squareat at 6 \%$ \$ \squareat at 9 \%$ Submit Answer

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Problem 3374

Work out the equation of the line shown below.
Give your answer in the form y=mx+cy=m x+c, where mm and cc are integers or fractions in their simples forms.

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Problem 3375

1. y=25x2y=\frac{2}{5} x-2
Slope: yy-int:
4. x=2x=2

Hint: This is not a function! Slope: yy-int:
2. . y=34x1y=-\frac{3}{4} x-1

Slope: yy-int:
5. y=6y=-6

Slope: yy-int:
3. 9. y=4y=-4

Slope: yy-int:
6 埄. y=4x5y=4 x-5
Slope: yy-int:

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Problem 3376

Graph the system below and write its solution. {y=x+22x+2y=4\left\{\begin{array}{l} y=-x+2 \\ 2 x+2 y=4 \end{array}\right.
Note that you can also answer "No solution" or "Infinitely many" solutions.

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Problem 3377

Application: 5 Marks
7. A catering company charges $590\$ 590 for 20 guests and $740\$ 740 for 26 guests. What is the cost per person? Provide "let" statements and show all calculations. [2 Marks]

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Problem 3378

2) 2x3y=12 x-3 y=-1

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Problem 3379

The cost of 2 rackets and 3 squash balls is £21.63£ 21.63. The cost of 5 rackets and 7 squash balls is £52.90£ 52.90.
Work out the cost of a) a racket. b) a squash ball.

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Problem 3380

368. Mootorpaat sõitis jõel vastuvoolu 16 km ja pöördus siis tagasi, kulutades tagasiteel 40 minutit vähem aega kui liikumisel vastuvoolu. Leidke paadi kiirus seisvas vees, kui jõe voolu kiirus on 2 km/h2 \mathrm{~km} / \mathrm{h}.

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Problem 3381

Select the equation that has a=112a=1 \frac{1}{2} as its solution. a114=35a-1 \frac{1}{4}=\frac{3}{5} a+358=434a+3 \frac{5}{8}=4 \frac{3}{4} 416+a=5234 \frac{1}{6}+a=5 \frac{2}{3} a×38=214a \times \frac{3}{8}=2 \frac{1}{4}

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Problem 3382

Graph the solution to the following system of inequalities. y>3x+2y3x8\begin{array}{l} y>-3 x+2 \\ y \leq 3 x-8 \end{array}

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Problem 3383

Iname: Jude Elsayed Date: 2024-11-25
Official Time: 11:38:00
Question 3 [10 points] Give a basis for span(S), where SS is the set given below. {[001],[212],[1059],[639]}\left\{\left[\begin{array}{l} 0 \\ 0 \\ 1 \end{array}\right],\left[\begin{array}{c} -2 \\ 1 \\ 2 \end{array}\right],\left[\begin{array}{c} 10 \\ -5 \\ -9 \end{array}\right],\left[\begin{array}{c} 6 \\ -3 \\ -9 \end{array}\right]\right\}
Number of Vectors: 1 {[0002}\left\{\left[\begin{array}{l} 0 \\ 0 \\ 0_{2} \end{array}\right\}\right.

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Problem 3384

Question 3 (1 point) \checkmark Saved
A homogeneous system of linear equations consists of eight equations in six variables (unknowns). Which of the following is true? The system can have no solution. The system has between 1 and 6 solutions. The system always has infinitely many solutions. The system has either the trivial solution only or infinitely many solutions. The system has only the trivial solution.

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Problem 3385

Solve equaltion for xx and Simpify 6x+57x=104x+76 x+5-7 x=10-4 x+7

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Problem 3386

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Rashaad is the youngest of three siblings whose ages are consecutive odd integers. If the sum of their ages is 63, find Rashaad's age.
Answer Attempt 1 out of 2 Submit Answer

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Problem 3387

11/11 Solve One-Step Equations Exit Ticket
1 Multiple Choice 25 points Which equation is true when t=19\mathrm{t}=19 ? 14.5=t+4.514.5=t+4.5 13+t=32-13+t=32 t19=1\frac{t}{19}=-1 57=3t-57=-3 t Clear my selection

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Problem 3388

4. Solving Equations by Inspection (3 marks)
Solve each equation by inspection (1 mark each): a) x+5=10x+5=10 b) 2x=82 x=8 c) x7=3x-7=3

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Problem 3389

2x81032 x-8 \leqslant 10^{-3}

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Problem 3390

Solve the inequalitities 2(3x)3122(3-x)-3 \leqslant 12

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Problem 3391

3. x+y=82x+y=7\begin{array}{r}x+y=8 \\ 2 x+y=7\end{array}

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Problem 3392

A scaffold of mass 64 kg and length 7.9 m is supported in a horizontal position by a vertical cable at each end. A window washer of mass 88 kg stands at a point 2.8 m from one end. What is the tension in (a) the nearer (relative to the person) cable and (b) the farther (relative to the person) cable? (a) Number
Units \square (b) Number \square Units \square

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Problem 3393

(Algebra 1, Unit 2, Lesson 2) Kiran's family is having people over to watch a football game. They plan to serve sparkling water and pretzels. They are preparing 12 ounces of sparkling water and 3 ounces of pretzels per person. Including Kiran's family, there will be 10 people at the gathering.
A bottle of sparkling water contains 22 ounces and costs $1.50\$ 1.50. A package of pretzels contains 16 ounces and costs $2.99\$ 2.99. Let nn represent number of people watching the football game, ss represent the ounces of sparkling water, pp represent the ounces of pretzels, and bb represent Kiran's budget in dollars. Which equation best represents Kiran's budget?
Select the correct choice. (A) 12s+3p=b12 s+3 p=b (B) 1210+310=b12 \cdot 10+3 \cdot 10=b (C) 1.50s+2.99p=b1.50 s+2.99 p=b (D) 1.506+2.992=b1.50 \cdot 6+2.99 \cdot 2=b

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Problem 3394

B Alg1.2.4 Practice B (Algebra 1, Unit 2, Lesson 2) The speed of an object can be found by taking the distance it travels and dividing it by the time it takes to travel that distance. An object travels 100 feet in 2.5 seconds. Let the speed. SS, be measured in feet per second. Write an equation to represent the relationship between the three quantities (speed, distance, and time). Type the answer in the box below.

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Problem 3395

The system in the figure below is in equilibrium, with the string in the center exactly horizontal. Block A weighs 39.0 N , block B weighs 50.0 N , and angle φ\varphi is 36.036.0^{\circ}. What are
Find (a) tension T1\mathrm{T}_{1}, (b) tension T2\mathrm{T}_{2}, (c) tension T3\mathrm{T}_{3}, and (d) angle θ\theta. (a) Number
Units \square (b) Number \square Units \square (c) Number \square Units \square (d) Number \square Units \square

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Problem 3396

Problem Situation: Alec buys tickets to an amusement park. He buys one adult ticket for $45\$ 45 and four youth tickets. He pays a total of $137\$ 137. What is the cost of a youth ticket? Complete the equation to represent this situation. The letter tt represents the cost of a youth ticket. CLEAR CHECK \square t+45=t+45= \square

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Problem 3397

Lesson 6-4 HW Name: Date: 11/25/2024
Question 1
Helmut is making a mosaic with a total of 290 blue tiles and green tiles. He chooses these number of tiles in three shades of green: 68, 64, and 72 . How many blue tiles does he need to finish his mosaic?
Blue tiles

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Problem 3398

Problem Situation: Ike has $126\$ 126 in his bank account. He gets $20\$ 20 for his birthday. He also has a part-time job that pays $8\$ 8 per hour. How many hours will he need to work to have $250\$ 250 in his bank account?
Choose the equation that correctly models the situation. The letter hh represents the hours lke will need to work. CleAR CHECK (250126)h=20+8126+20+8h=250250+126+20+8+250=h120+8h\begin{array}{lc} (250-126) h=20+8 & \\ & \\ 126+20+8 h=250 & \\ 250+126+20+8+250=h \\ 120+8 h \end{array}

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Problem 3399

{3x[y+3x(2y+x)]2}7=\{3 x-[y+3 x-(2 y+x)]-2\}-7=

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Problem 3400

Part C: The basketballs Noah packed had two different prices. Of the total number of basketballs sold, 60%60 \% had a price that was $21\$ 21 more than the price of the remaining basketballs. The total amount of the store's sales for all the basketballs was $8,967\$ 8,967. What was the price for one of the more expensive basketballs? Enter answer here:

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