Model

Problem 2901

5. 8 liters $\approx$ $\qquad$ quarts 1 liter $\approx 1.06$ quarts

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Problem 2902

$\overleftrightarrow{C D}$ is the bisector of $\angle C$ . Construct the incenter of $\triangle A B C$ .
Click on an object to delete it.

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Problem 2903

Suppose $k(w)=4^{w}$ . (a) Find a formula for $y=k(w)-7$ in terms of the variable $w$ . $y=k(w)-7=$ $\square$ help (formulas)

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Problem 2904

Multiple Choice 1 point
25. Given the graph of the parabola, write an equation of the parabola in both vertex and standard form. None of the above $y=-0.5(x+5)^{2}-3$ $y=-0.5 x^{2}-5 x+9.5$ $y=0.5(x+5)^{2}-3$ $y=0.5 x^{2}+5 x+9.5$
$\begin{array}{l} y=0.5(x-5)^{2}-3 \\ y=0.5 x^{2}+5 x+12 \end{array}$

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Problem 2905

$\text{The graph of } f(x) = \sqrt{x} \text{ is sketched in red and the graph of } g(x) \text{ is sketched in green. Use the translation rule and } f(x) = \sqrt{x} \text{ to identify the function } g(x).$
$\text{The graph of } g(x) \text{ is shifted down 4 units from } f(x).$

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Problem 2906

Final Exam Practice Question 9 of 25 (1 point) I Question Attempt: 2 of Unlimited \begin{tabular}{cc} \hline Dozen Eggs & Gallon of Milk \\ \hline 1.96 & 3.47 \\ 1.69 & 3.47 \\ 2.01 & 3.52 \\ 1.94 & 3.58 \\ 1.77 & 3.43 \\ 1.65 & 3.50 \\ 1.89 & 3.54 \\ 1.88 & 3.58 \\ \hline \end{tabular}
Send data to Excel
Part: $0 / 4$
Part 1 of 4 (a) Construct a scatter plot of the price of milk $(y)$ versus the price of eggs $(x)$ . Save For Later Submit A Skip Part Recheck 02024 Mc Graw HIIILC All Rohts Resened. Terms of Use I Fhwag Cente

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Problem 2907

Find the function $g(x)$ for a vertical stretch by 3 of $f(x)=|x+1|-1$ . What is $g(x)$ ?

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Problem 2908

Write a balanced chemical equation for the reaction of chlorine gas with sodium bromide: $Cl_2 + NaBr \rightarrow NaCl + Br_2$ .

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Problem 2909

Balance the equation for the decomposition of solid potassium hydroxide $(\mathrm{KOH})$ into solid potassium oxide and water.

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Problem 2910

On April 1, 2024, Oakland Corp lends \$490,000 at 10% for 12 months. Record the loan, interest adjustment, and cash collection.

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Problem 2911

Write the balanced net equation for synthesizing phosphoric acid from P, O, and H₂O using the reactions provided.

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Problem 2912

Balance the chemical equation for the decomposition of solid potassium hydroxide (KOH) into solid potassium oxide and water vapor.

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Problem 2913

Estimate uncollectible receivables for a Physical Therapy Center, record the adjustment, and calculate net accounts receivable.

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Problem 2914

Jeanette wrote 48 pages and adds 4 per week. Carlos writes 10 per week. Find $w$ when Carlos matches Jeanette's pages:
$48 + 4w = 10w$
How many weeks until Carlos equals Jeanette's pages?

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Problem 2915

Scott is on page 150, William on page 66. They read 10 and 22 pages daily. Find $d$ when William matches Scott's pages.
$150+10d=66+22d \quad 150+22d=66+10d$
How many days until William matches Scott?

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Problem 2916

A plane flies at 150 mph for 160 miles ± 25 miles. Find hours using the equation: $h = \frac{d}{s}$ .

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Problem 2917

Write a system of equations equivalent to the vector equation:
$x_{1}\begin{pmatrix} 3 \\ -5 \end{pmatrix} + x_{2}\begin{pmatrix} 7 \\ 4 \end{pmatrix} + x_{3}\begin{pmatrix} -3 \\ 1 \end{pmatrix} = \begin{pmatrix} 0 \\ 0 \end{pmatrix}$
Choose the correct answer from the options provided.

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Problem 2918

Write the system of equations as a vector equation and a matrix equation:
$\begin{array}{l} 8 x_{1}-x_{2}=10 \\ 2 x_{1}+9 x_{2}=2 \\ 3 x_{1}-x_{2}=1 \end{array}$

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Problem 2919

Graph the solution set for the interval $(-\infty,-1)$ .

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Problem 2920

Plot the inequality $x>3$ on a number line and write it in interval notation using "oo" for $\infty$ .

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Problem 2921

Find the expression for the total feet of landscaping timbers needed for gardens with sides $2x+4$ , $12x-6$ , $5x-7$ , and $7x-5$ .

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Problem 2922

Compare the perimeters of a pentagon with sides of 6 inches and a hexagon with sides of 5 inches. Show your work.

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Problem 2923

Write an expression for 5 times $(x + 7)$ minus $4^3$ .

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Problem 2924

Find the line equation in slope-intercept form through $(2,8)$ with slope $m=3$ .

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Problem 2925

Calculate the heat produced from the combustion of $125 \mathrm{~g}$ of methanol at standard conditions without given heat of combustion.

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Problem 2926

Find ordered pairs $(x, y)$ that satisfy $8x + 2y = 24$ . Create a table to display them.

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Problem 2927

Find the gas left in the tank over time, its equation, domain, range, and if it's continuous or discrete.

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Problem 2928

Un tren AVE sale a las 10 AM desde una ciudad a $750 \mathrm{~km}$ a $200 \mathrm{~km/h}$ . Un tren de mercancías salió 2 horas antes a $50 \mathrm{~km/h}$ . a) Escribe funciones para la distancia a nuestra ciudad de cada tren en función de $t$ horas.

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Problem 2929

A man is $2 \mathrm{~cm}$ tall in a photo and $1.8 \mathrm{~m}$ tall in reality. Find the scale factor.

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Problem 2930

Find the cost equation $c(d)$ for owning a car based on $d$ km/month. Predict cost for $1000$ km/month and analyze intercepts and slope.

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Problem 2931

Find the linear function for $Z$ in terms of $X$ and $Y$ given the sales effects: $Z = -2.8X + 0.5Y + C$ .

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Problem 2932

How many hours $(h)$ can Jovie keep the fire burning with 9 logs if 15 logs last for 10 hours?

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Problem 2933

Find an equation relating $t$ , the number of tickets, to $c$ , the total cost, using the given data points.

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Problem 2934

Find the equation that relates $w$ and $z$ given the pairs: (18, 2), (45, 5), (81, 9).

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Problem 2935

Find the equation that represents the proportional relationship between $a$ and $b$ from the pairs: (8, 3), (24, 9), (40, 15).

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Problem 2936

Find the linear function $f$ given $f\left(\frac{3}{5}\right)=\frac{1}{2}$ and $f(2)=4$ : $f(x)=\frac{5}{2}x-1$ .

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Problem 2937

Determine the equilibrium quantity and price from the supplied and demanded quantities at different prices.

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Problem 2938

Create a comparative bar chart using relative frequencies for 241 smokers, 261 former smokers, and 502 nonsmokers' perceived smoking risks. Comment on differences.

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Problem 2939

Create three equivalent ratios using the digits 1 to 9. Can you do it using each digit only once?

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Problem 2940

Find the equation of a line parallel to $y=\frac{4}{5} x+2$ that goes through the point $(1,2)$ .

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Problem 2941

Find the quadratic equation with roots 5 and -2, and leading coefficient 4. Use Yetter $x$ for the variable.

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Problem 2942

Graph the parabola $y=(x+4)^{2}+2$ . Plot the vertex and two points on each side of it.

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Problem 2943

Esther paints 7 faces in 21 minutes. Find the equation relating $f$ , the number of faces, and $m$ , the time in minutes.

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Problem 2944

Find the equation relating $p$ (hours parked) and $c$ (cost in dollars) if Alexandra paid \$7 for 3 hours.

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Problem 2945

Carlos harvests cassavas at a constant rate. If he takes 35 mins for 15 cassavas, find the equation for $t$ and $c$ .

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Problem 2946

Flannery made 6 identical arrangements with 30 lilies and 78 roses. Find the equation relating $l$ and $r$ .

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Problem 2947

Create an equation for $y$ (yellow paint) and $b$ (blue paint) where $y + b = 8$ liters for the Green Goober's paint.

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Problem 2948

Find the GCF of 48 and 30, then express $48 + 30$ as $GCF \cdot (a + b)$ .

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Problem 2949

Find the linear function $f$ such that $f\left(\frac{3}{5}\right)=\frac{1}{2}$ and $f(2)=4$ .

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Problem 2950

What function represents the world's population P (in billions) $t$ years after 1975, given a 1.9% growth rate? A) $P(t)=4(1.019)^{t}$ B) $P(t)=4(1.9)^{t}$ C) $P(t)=1.19 t+4$

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Problem 2951

Model kakapo population growth with a recurrence relation. Assume 50% female, 1 egg/4 years, and 29% hatchling survival.

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Problem 2952

Find the expression for individual stamps from $F$ books of "Forever" stamps, where each book has 20 stamps. $20F$

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Problem 2953

Find the size limits for Fish $A$ as $[28, 32]$ and for Fish $B$ as $[11, \infty)$ in interval and set-builder notation.

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Problem 2954

Постройте график функции $y=3 \sin \left(x-\frac{\pi}{4}\right)$ .

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Problem 2955

In Oak City, predict how many adults get news from newspapers based on a sample of 50,000. Round to the nearest whole number.

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Problem 2956

Graph the equation $x + 2y = 3$ using the points: (0, $\frac{3}{2}$ ), (3, 0), (8, 1).

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Problem 2957

Find the inverse equation of the relation $y=3x+2$ .

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Problem 2958

Write the expression for: The product of 7.4 and 9 decreased by 13 is $7.4 \times 9 - 13$ .

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Problem 2959

Find the blood volume for an 80-pound person, given that 200 pounds corresponds to 6 quarts. Use the proportion $\frac{6}{200} = \frac{x}{80}$ .

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Problem 2960

A quarterback throws an average of 65 yards ± 10 yards. Write equations for max and min yards thrown. $|y+10|=65$ $|y-10|=65$ $|y+65|=10$ $|y-65|=10$

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Problem 2961

a. 5 - 8n b. 8 - 5n c. 5 - (8 + n) d. 8n - 5

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Problem 2962

A car averages 28 miles per gallon, varying by 6 to 10 mpg.
Part A: Pick a value from 6 to 10 for mpg. Write an equation for the mileage range.
Part B: Solve the equation and explain the result. Show all work.

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Problem 2963

Graph the linear function for Tim's truck fuel: $y = 200 - 10x$ , where $x$ is time in hours and $y$ is fuel in gallons.

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Problem 2964

Graph the numbers greater than 5 on a number line: $\{x \mid x>5\}$

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Problem 2965

Find the equation for the acceptable weight range of bags filled with 14 ounces of chocolate, given a tolerance of 0.3 ounces.

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Problem 2966

Describe the translation of a tile from $(x, y)$ to fill a row with no spaces. What is the notation for no movement?

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Problem 2967

Given $y$ varies inversely with $x$ , and $y=3$ when $x=8$ , find the equation and $y$ when $x=15$ .

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Problem 2968

Given $y$ varies inversely with $x$ and $y=-\frac{3}{2}$ when $x=-8$ , find the equation and $y$ when $x=6$ . $y =$

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Problem 2969

Given $y$ varies inversely with $x$ , and $y=8$ when $x=5$ : (a) Find the equation; (b) Determine $y$ when $x=10$ . $y=$

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Problem 2970

Draw a line perpendicular to line $\ell$ at point $A$ . Identify line $\ell$ and point $A$ from the diagram.

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Problem 2971

Find the explicit formula for the arithmetic sequence starting with $a_{1}=54$ and the first six terms: $54, 73, 92, 111, 130, 149$ .

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Problem 2972

Find the translation from $Q(3,6)$ to $Q^{\prime}(9,3)$ as $\langle x, y\rangle$ . Show your work.

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Problem 2973

Convert between fractions, decimals, and percents for $\frac{1}{3}$ , $\frac{2}{3}$ , $\frac{2}{5}$ , and $0.75$ .

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Problem 2974

Evaluate $f(x) = x - 2$ for $x = 0$ and graph the ordered pair $(x, f(x))$ .

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Problem 2975

A store bought 24 keyboards and 15 chargers for \$120, sold keyboards for \$35 and chargers for \$15. Find profit expression.
Part A: Choose the profit expression. $(24)(35)+(15)(15)-120$
Part B: Explain your choice.
Part C: Calculate the chosen expression's value, showing all steps.

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Problem 2976

Evaluate $f(x)=(x-5)^{2}$ for $x=3, 4$ and graph the points $(x, f(x))$ .

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Problem 2977

Convert 54 tenths + 2 thousandths to standard form.

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Problem 2978

Graph the line with slope -4 and $y$ -intercept 5 given by the equation $y=-4x+5$ .

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Problem 2979

Find three equivalent fractions for each: a. $\frac{4}{7}$ , b. $\frac{-6}{11}$ , c. $\frac{0}{7}$ , d. $\frac{a}{5}$ .

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Problem 2980

Find the linear function $M(x)=mx+b$ for men's average yearly earnings using points (0,21) and (30,66). Round to two decimals.

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Problem 2981

Find functions for average yearly earnings based on these points: Men (0,21), (30,66) and Women (0,20), (30,45).
(a) Determine $M(x)=m x+b$ for men.
(b) Determine $W(x)=m x+b$ for women.

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Problem 2982

Find the volume of a volleyball with radius $10.5 \mathrm{~cm}$ . Also, write a function for Proxy car rental costs: \$0.32 per mile + \$18 surcharge.

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Problem 2983

Label the place value charts. Complete: $10 \times 4$ ones $=$ ones $=$ and show regrouping with disks and arrows.

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Problem 2984

Find the cost function $C(x)$ for a theater with fixed costs of \$39000 and \$2400 per performance.

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Problem 2985

Iko's temperature rose by $11^{\circ}$ and fell by $14^{\circ}$ . Write the addition expression and model it with integer chips.

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Problem 2986

Find functions $f$ and $g$ where $(f \circ g)(x)=h(x)$ with $h(x)=\sqrt[3]{x^{2}-3}$ .

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Problem 2987

Find $(-5) + 6$ using a number line. How does it change for $(-5) + (-6)$ ?

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Problem 2988

Find the function $(A \circ r)(t)$ if the radius $r(t)$ of ripples in a pond is known, where $A(r)=\pi r^{2}$ .

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Problem 2989

Determine the final function after shifting $y=\sqrt{x}$ up 9 units, reflecting it about the $y$ axis, and shifting left 3 units.

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Problem 2990

Find the line equation in slope-intercept form with slope $m=\frac{5}{9}$ and y-intercept $(0,1)$ .

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Problem 2991

Find the revenue function $R(x)$ if the cost is $C(x) = 39000 + 2400x$ and each unit sells for \$3150.

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Problem 2992

a. Cost function: $C(x)=39000+2400 x$ b. Revenue function: $R(x)=3150 x$ c. Find the break-even point by solving $C(x)=R(x)$ .

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Problem 2993

Find the composite function of the given functions: $f(x)=\frac{4}{x-2}$ , $g(x)=\frac{5}{6x}$ . Calculate $(f \circ g)(x)$ .

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Problem 2994

Find the cost function $C(x)$ for canoes with fixed cost \$20000, production cost \$40, and selling price \$80.

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Problem 2995

Find the revenue function $R(x)$ given the cost function $C(x)=20000+40x$ and price per unit is $80$ .

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Problem 2996

Determine the final function after shifting $y=|x|$ up 7 units, reflecting it over the $x-$ axis, and shifting right 9 units.

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Problem 2997

a. Write the cost function: $C(x)=20000+40x$ . b. Write the revenue function: $R(x)=80x$ . c. Find the break-even point as an ordered pair without commas in large numbers.

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Problem 2998

Write the line equation in point-slope and slope-intercept forms with slope $=-7$ and passing through $(-8,-3)$ .

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Problem 2999

One scoop of rice weighs $3^{9}$ mg. a. Find weight of $s$ scoops: $3^{9} \cdot s$ . Weight of 5 scoops? b. A grain weighs $3^{3}$ mg. How many grains in 1 scoop?

See Solution

Problem 3000

Kane runs 3 miles and increases by $\frac{1}{4}$ mile each week. Write an expression for distance after $w$ weeks.

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1 ...27 28 29 30 31 32 33 ...42

Model

Problem 2901

5. 8 liters ≈\approx≈ \qquad quarts 1 liter ≈1.06\approx 1.06≈1.06 quarts

Problem 2902

CDundefined\overleftrightarrow{C D}CD is the bisector of ∠C\angle C∠C. Construct the incenter of △ABC\triangle A B C△ABC.Click on an object to delete it.

Problem 2903

Suppose k(w)=4wk(w)=4^{w}k(w)=4w. (a) Find a formula for y=k(w)−7y=k(w)-7y=k(w)−7 in terms of the variable www. y=k(w)−7=y=k(w)-7=y=k(w)−7= □\square□ help (formulas)

Problem 2904

Problem 2905

Problem 2906

Problem 2907

Find the function g(x)g(x)g(x) for a vertical stretch by 3 of f(x)=∣x+1∣−1f(x)=|x+1|-1f(x)=∣x+1∣−1. What is g(x)g(x)g(x)?

Problem 2908

Write a balanced chemical equation for the reaction of chlorine gas with sodium bromide: Cl2+NaBr→NaCl+Br2Cl_2 + NaBr \rightarrow NaCl + Br_2Cl2​+NaBr→NaCl+Br2​.

Problem 2909

Balance the equation for the decomposition of solid potassium hydroxide (KOH)(\mathrm{KOH})(KOH) into solid potassium oxide and water.

Problem 2910

On April 1, 2024, Oakland Corp lends \$490,000 at 10% for 12 months. Record the loan, interest adjustment, and cash collection.

Problem 2911

Write the balanced net equation for synthesizing phosphoric acid from P, O, and H₂O using the reactions provided.

Problem 2912

Balance the chemical equation for the decomposition of solid potassium hydroxide (KOH) into solid potassium oxide and water vapor.

Problem 2913

Estimate uncollectible receivables for a Physical Therapy Center, record the adjustment, and calculate net accounts receivable.

Problem 2914

Jeanette wrote 48 pages and adds 4 per week. Carlos writes 10 per week. Find www when Carlos matches Jeanette's pages: 48+4w=10w 48 + 4w = 10w 48+4w=10wHow many weeks until Carlos equals Jeanette's pages?

Problem 2915

Scott is on page 150, William on page 66. They read 10 and 22 pages daily. Find ddd when William matches Scott's pages. 150+10d=66+22d150+22d=66+10d 150+10d=66+22d \quad 150+22d=66+10d 150+10d=66+22d150+22d=66+10dHow many days until William matches Scott?

Problem 2916

A plane flies at 150 mph for 160 miles ± 25 miles. Find hours using the equation: h=dsh = \frac{d}{s}h=sd​.

Problem 2917

Problem 2918

Write the system of equations as a vector equation and a matrix equation:8x1−x2=102x1+9x2=23x1−x2=1 \begin{array}{l} 8 x_{1}-x_{2}=10 \\ 2 x_{1}+9 x_{2}=2 \\ 3 x_{1}-x_{2}=1 \end{array} 8x1​−x2​=102x1​+9x2​=23x1​−x2​=1​

Problem 2919

Graph the solution set for the interval (−∞,−1)(-\infty,-1)(−∞,−1).

Problem 2920

Plot the inequality x>3x>3x>3 on a number line and write it in interval notation using "oo" for ∞\infty∞.

Problem 2921

Find the expression for the total feet of landscaping timbers needed for gardens with sides 2x+42x+42x+4, 12x−612x-612x−6, 5x−75x-75x−7, and 7x−57x-57x−5.

Problem 2922

Compare the perimeters of a pentagon with sides of 6 inches and a hexagon with sides of 5 inches. Show your work.

Problem 2923

Write an expression for 5 times (x+7)(x + 7)(x+7) minus 434^343.

Problem 2924

Find the line equation in slope-intercept form through (2,8)(2,8)(2,8) with slope m=3m=3m=3.

Problem 2925

Calculate the heat produced from the combustion of 125 g125 \mathrm{~g}125 g of methanol at standard conditions without given heat of combustion.

Problem 2926

Find ordered pairs (x,y)(x, y)(x,y) that satisfy 8x+2y=248x + 2y = 248x+2y=24. Create a table to display them.

Problem 2927

Find the gas left in the tank over time, its equation, domain, range, and if it's continuous or discrete.

Problem 2928

Un tren AVE sale a las 10 AM desde una ciudad a 750 km750 \mathrm{~km}750 km a 200 km/h200 \mathrm{~km/h}200 km/h. Un tren de mercancías salió 2 horas antes a 50 km/h50 \mathrm{~km/h}50 km/h. a) Escribe funciones para la distancia a nuestra ciudad de cada tren en función de ttt horas.

Problem 2929

A man is 2 cm2 \mathrm{~cm}2 cm tall in a photo and 1.8 m1.8 \mathrm{~m}1.8 m tall in reality. Find the scale factor.

Problem 2930

Find the cost equation c(d)c(d)c(d) for owning a car based on ddd km/month. Predict cost for 100010001000 km/month and analyze intercepts and slope.

Problem 2931

Find the linear function for ZZZ in terms of XXX and YYY given the sales effects: Z=−2.8X+0.5Y+CZ = -2.8X + 0.5Y + CZ=−2.8X+0.5Y+C.

Problem 2932

How many hours (h)(h)(h) can Jovie keep the fire burning with 9 logs if 15 logs last for 10 hours?

Problem 2933

Find an equation relating ttt, the number of tickets, to ccc, the total cost, using the given data points.

Problem 2934

Find the equation that relates www and zzz given the pairs: (18, 2), (45, 5), (81, 9).

Problem 2935

Find the equation that represents the proportional relationship between aaa and bbb from the pairs: (8, 3), (24, 9), (40, 15).

Problem 2936

Find the linear function fff given f(35)=12f\left(\frac{3}{5}\right)=\frac{1}{2}f(53​)=21​ and f(2)=4f(2)=4f(2)=4: f(x)=52x−1f(x)=\frac{5}{2}x-1f(x)=25​x−1.

Problem 2937

Determine the equilibrium quantity and price from the supplied and demanded quantities at different prices.

Problem 2938

Create a comparative bar chart using relative frequencies for 241 smokers, 261 former smokers, and 502 nonsmokers' perceived smoking risks. Comment on differences.

Problem 2939

Create three equivalent ratios using the digits 1 to 9. Can you do it using each digit only once?

Problem 2940

Find the equation of a line parallel to y=45x+2y=\frac{4}{5} x+2y=54​x+2 that goes through the point (1,2)(1,2)(1,2).

Problem 2941

Find the quadratic equation with roots 5 and -2, and leading coefficient 4. Use Yetter xxx for the variable.

Problem 2942

5. 8 liters $\approx$ $\qquad$ quarts 1 liter $\approx 1.06$ quarts

$\overleftrightarrow{C D}$ is the bisector of $\angle C$ . Construct the incenter of $\triangle A B C$ .
Click on an object to delete it.

Suppose $k(w)=4^{w}$ . (a) Find a formula for $y=k(w)-7$ in terms of the variable $w$ . $y=k(w)-7=$ $\square$ help (formulas)

Find the function $g(x)$ for a vertical stretch by 3 of $f(x)=|x+1|-1$ . What is $g(x)$ ?

Write a balanced chemical equation for the reaction of chlorine gas with sodium bromide: $Cl_2 + NaBr \rightarrow NaCl + Br_2$ .

Balance the equation for the decomposition of solid potassium hydroxide $(\mathrm{KOH})$ into solid potassium oxide and water.

Jeanette wrote 48 pages and adds 4 per week. Carlos writes 10 per week. Find $w$ when Carlos matches Jeanette's pages:
$48 + 4w = 10w$
How many weeks until Carlos equals Jeanette's pages?

Scott is on page 150, William on page 66. They read 10 and 22 pages daily. Find $d$ when William matches Scott's pages.
$150+10d=66+22d \quad 150+22d=66+10d$
How many days until William matches Scott?

A plane flies at 150 mph for 160 miles ± 25 miles. Find hours using the equation: $h = \frac{d}{s}$ .

Write the system of equations as a vector equation and a matrix equation:
$\begin{array}{l} 8 x_{1}-x_{2}=10 \\ 2 x_{1}+9 x_{2}=2 \\ 3 x_{1}-x_{2}=1 \end{array}$

Graph the solution set for the interval $(-\infty,-1)$ .

Plot the inequality $x>3$ on a number line and write it in interval notation using "oo" for $\infty$ .

Find the expression for the total feet of landscaping timbers needed for gardens with sides $2x+4$ , $12x-6$ , $5x-7$ , and $7x-5$ .

Write an expression for 5 times $(x + 7)$ minus $4^3$ .

Find the line equation in slope-intercept form through $(2,8)$ with slope $m=3$ .

Calculate the heat produced from the combustion of $125 \mathrm{~g}$ of methanol at standard conditions without given heat of combustion.

Find ordered pairs $(x, y)$ that satisfy $8x + 2y = 24$ . Create a table to display them.

Un tren AVE sale a las 10 AM desde una ciudad a $750 \mathrm{~km}$ a $200 \mathrm{~km/h}$ . Un tren de mercancías salió 2 horas antes a $50 \mathrm{~km/h}$ . a) Escribe funciones para la distancia a nuestra ciudad de cada tren en función de $t$ horas.

A man is $2 \mathrm{~cm}$ tall in a photo and $1.8 \mathrm{~m}$ tall in reality. Find the scale factor.

Find the cost equation $c(d)$ for owning a car based on $d$ km/month. Predict cost for $1000$ km/month and analyze intercepts and slope.

Find the linear function for $Z$ in terms of $X$ and $Y$ given the sales effects: $Z = -2.8X + 0.5Y + C$ .

How many hours $(h)$ can Jovie keep the fire burning with 9 logs if 15 logs last for 10 hours?

Find an equation relating $t$ , the number of tickets, to $c$ , the total cost, using the given data points.

Find the equation that relates $w$ and $z$ given the pairs: (18, 2), (45, 5), (81, 9).

Find the equation that represents the proportional relationship between $a$ and $b$ from the pairs: (8, 3), (24, 9), (40, 15).

Find the linear function $f$ given $f\left(\frac{3}{5}\right)=\frac{1}{2}$ and $f(2)=4$ : $f(x)=\frac{5}{2}x-1$ .

Find the equation of a line parallel to $y=\frac{4}{5} x+2$ that goes through the point $(1,2)$ .

Find the quadratic equation with roots 5 and -2, and leading coefficient 4. Use Yetter $x$ for the variable.

Graph the parabola $y=(x+4)^{2}+2$ . Plot the vertex and two points on each side of it.

Esther paints 7 faces in 21 minutes. Find the equation relating $f$ , the number of faces, and $m$ , the time in minutes.

Find the equation relating $p$ (hours parked) and $c$ (cost in dollars) if Alexandra paid \$7 for 3 hours.

Carlos harvests cassavas at a constant rate. If he takes 35 mins for 15 cassavas, find the equation for $t$ and $c$ .

Flannery made 6 identical arrangements with 30 lilies and 78 roses. Find the equation relating $l$ and $r$ .

Create an equation for $y$ (yellow paint) and $b$ (blue paint) where $y + b = 8$ liters for the Green Goober's paint.

Find the GCF of 48 and 30, then express $48 + 30$ as $GCF \cdot (a + b)$ .

Find the linear function $f$ such that $f\left(\frac{3}{5}\right)=\frac{1}{2}$ and $f(2)=4$ .

What function represents the world's population P (in billions) $t$ years after 1975, given a 1.9% growth rate? A) $P(t)=4(1.019)^{t}$ B) $P(t)=4(1.9)^{t}$ C) $P(t)=1.19 t+4$

Find the expression for individual stamps from $F$ books of "Forever" stamps, where each book has 20 stamps. $20F$

Find the size limits for Fish $A$ as $[28, 32]$ and for Fish $B$ as $[11, \infty)$ in interval and set-builder notation.

Постройте график функции $y=3 \sin \left(x-\frac{\pi}{4}\right)$ .

Graph the equation $x + 2y = 3$ using the points: (0, $\frac{3}{2}$ ), (3, 0), (8, 1).

Find the inverse equation of the relation $y=3x+2$ .

Write the expression for: The product of 7.4 and 9 decreased by 13 is $7.4 \times 9 - 13$ .

Find the blood volume for an 80-pound person, given that 200 pounds corresponds to 6 quarts. Use the proportion $\frac{6}{200} = \frac{x}{80}$ .

A quarterback throws an average of 65 yards ± 10 yards. Write equations for max and min yards thrown. $|y+10|=65$ $|y-10|=65$ $|y+65|=10$ $|y-65|=10$

A car averages 28 miles per gallon, varying by 6 to 10 mpg.
Part A: Pick a value from 6 to 10 for mpg. Write an equation for the mileage range.
Part B: Solve the equation and explain the result. Show all work.

Graph the linear function for Tim's truck fuel: $y = 200 - 10x$ , where $x$ is time in hours and $y$ is fuel in gallons.

Graph the numbers greater than 5 on a number line: $\{x \mid x>5\}$

Describe the translation of a tile from $(x, y)$ to fill a row with no spaces. What is the notation for no movement?

Given $y$ varies inversely with $x$ , and $y=3$ when $x=8$ , find the equation and $y$ when $x=15$ .

Given $y$ varies inversely with $x$ and $y=-\frac{3}{2}$ when $x=-8$ , find the equation and $y$ when $x=6$ . $y =$

Given $y$ varies inversely with $x$ , and $y=8$ when $x=5$ : (a) Find the equation; (b) Determine $y$ when $x=10$ . $y=$

Draw a line perpendicular to line $\ell$ at point $A$ . Identify line $\ell$ and point $A$ from the diagram.

Find the explicit formula for the arithmetic sequence starting with $a_{1}=54$ and the first six terms: $54, 73, 92, 111, 130, 149$ .

Find the translation from $Q(3,6)$ to $Q^{\prime}(9,3)$ as $\langle x, y\rangle$ . Show your work.

Convert between fractions, decimals, and percents for $\frac{1}{3}$ , $\frac{2}{3}$ , $\frac{2}{5}$ , and $0.75$ .

Evaluate $f(x) = x - 2$ for $x = 0$ and graph the ordered pair $(x, f(x))$ .