5. Finn bought 12 movie tickets. Student tickets cost $4, and adult tickets cost $8. Finn spent a total of $60. Write and graph a system of equations to find the number of student and adult tickets Finn bought. Lesson 5-2
x+y=124x+8y=60 6. What value of m gives the system infinitely many solutions? Lesson 5-1
−x+4y=32y=mx+8 Types of Movie Tickets
The graph of g(z), shown below, is obtainad by transtorming the graph of f(x).
f(x)=−(x+1)2+9
a) In the space below, describe a sequence of transformations that would transform the graph of y=f(x) into the graph of y=g(x). Your answers below wiv nor be auto-graded
□
b) In the space below, state the equation of g(x), both in terms ai f(x) and in terms of
x.
In terms of f(x):g(x)=□
in terms of xg(x)=□
c) A new function h(x) is obtained by reflecting the groph of g(x) (the green graph) about the line y=x. Describe the transformation
□
d) Stote the domain ond range of h(x) in interval notation
□
D.
□
Which of the following is/are True?
The level of significance of a test depends on the value of the sample statistic.
The level of significance depends on the alternative hypothesis.
The level of significance is generally set in advance before samples are drawn
The level of significance is the probability of rejecting a null hypothesis when it is in fact true.
Security Inc. is looking for a security officer responsible for the protection and safety of assets, properties, personnel, customers, and all visitors in various client establishments. To evaluate their applicants, some of the following variables were observed:
V - whether or not he/she has been issued firearm, tear gas, and baton permits
E - highest educational attainment (elementary, highschool, college)
X - maximum weight of objects he/she can lift, carry, or push (in pounds)
Y - number of past employment related to security service
Z - whether or not his/her driver's license has been denied/suspended in the past 3 years The level of measurement of variables Y and Z are and , respectively.
ratio, ordinal
interval, nominal
interval, ordinal
Ratio, nominal
Which of the following is(are) TRUE about a normal random variable? 1. Its distribution is symmetric about the median 2. The probability that the random variable is greater than its mode is zero
Neither 1 nor 2
1 only
Both I and 2
2 only
For log514,
(a) Estimate the value of the logarithm between two consecutive integers. For example, log27 is between 2 and 3 because 22<7<23.
(b) Use the change-of-base formula and a calculator to approximate the logarithm to 4 decimal places.
(c) Check the result by using the related exponential form. Part: 0/3 Part 1 of 3
(a) Estimate the value of the logarithm between two consecutive integers.
□<log514<□
7 of 7 Determine which of the following infinite geometric series have a finite sum.
।. 4+5+425+…
II. −7+314−928+…
III. 21−1+2+…
IV. 4+58+2516+…
I, III only
II, IV only
III only
I, II, IV only
12-6 1. What is the value of a÷a−4 when a=22÷2−4=2 2. For x=1 and y=−1, give the value of the expression 15x2y−3+18yx−1+27xy4 3. Find the integer k such that 33+33+33=243⋅3k (Hint: Express 243 as a power of 3 .) 4. Let a and b be nonzero numbers. Simplify (6a2b)2÷(3a2b3). Express your answer as a number times a power of a times a power of b. 5. 4−8((−2)2−4(−3)) 6. 5⋅25−(2⋅3)2
Rewrite the following fractions as partial fractions using the given formats.
(a) x2+3x−28x−1=F1(x)A1+F2(x)A2
where A1 and A2 represent constants.
F1(x)=F2(x)=
Unit 2 Week 2 Mastery Check: (40 Points)
Note: You may use this website https://www.desmos.com/calculator to help you graph anything.
\#1: Graph log2x using x=2,4,8,16,32 (Count by 4's along the x-axis up to 32 and go by 1 's up to 5 on the y-axis) (5 Points)
Which set of angles has the same terminal arm as 40∘ ?
A) 400∘,760∘,1120∘
B) 220∘,400∘,580∘
C) 80∘,120∘,200∘
D) 130∘,220∘,310∘ Question 7 (1 point)
✓ Saved In which quadrants are the sine ratios negative values?
2 and 4
3 and 4
1 and 3
None of the options
1 and 2
Question 8 (1 point)
Saved
A rectangular bird feeder costs $18.00. A cylindrical bird feeder costs $24.00. The expected cost to keep the rectangular bird feeder filled is $3.00 per week. The expected cost to keep the cylindrical bird feeder filled is $2.00 per week. The equation models the break-even point.
18+3x=24+2x What does x represent?
the total cost to fill the rectangular bird feeder the total cost to fill the cylindrical bird feeder after
the number of weeks the after any number of weeks any number of weeks bird feeders are filled Y
the number of bird feeders purchased each week
4 Find the following products:
a (2x2−3x+5)(3x−1)
b (4x2−x+2)(2x+5)
c (2x2+3x+2)(5−x)
d (x−2)2(2x+1)
e (x2−3x+2)(2x2+4x−1)
f (3x2−x+2)(5x2+2x−3)
g (x2−x+3)2
h (2x2+x−4)2(2x+5)3
) (x3+x2−2)2
Ten balls numbered from 1 to 10 are placed into a bag. Some are grey and some are white.
The balls numbered 1,3,5,7,8,9, and 10 are grey.
The balls numbered 2,4 , and 6 are white.
A ball is selected at random.
Let X be the event that the selected ball is white, and let P(X) be the probability of X. Let not X be the event that the selected ball is not white, and let P (not X ) be the probability of not X.
(a) For each event in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event.
\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|}
\hline \multirow{2}{*}{Event} & \multicolumn{10}{|c|}{Outcomes} & \multirow[b]{2}{*}{Probability} \\
\hline & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & \\
\hline X & - & 10 & C & 7 & 4 & ( & 0 & 4 & 0 & 0 & P(X)=□ \\
\hline not X & 0 & T & 0 & \% & 4 & (1) & ( & th & \% & 4 & P(notX)=□ \\
\hline
\end{tabular}
(b) Subtract.
1−P(X)=□
Ali sedang merenovasi rumahnya. la membeli 5 buah paralon berdiamater sama di sebuah toko bangunan. Paralon tersebut diangkut menggunakan mobil pick up. Agar menghemat tempat, paralon-paralon tersebut diikat menggunakan sebuah tali pada pangkal dan ujung paralon (seperti tampak pada gambar). Jika Panjang tali minimal yang diperlukan untuk mengikat 5 paralon tersebut 325,6cm, maka panjang diameter tiap paralon adalah....
Follow the seven step strategy to graph the following rational function.
f(x)=−x2−41 Find the vertical asymptote(s). Select the correct choice below and, if necessary, fill in the answer box to comple
A. The equation(s) of the vertical asymptote(s) is/are x=2,x=−2.
(Type an equation. Use a comma to separate answers as needed.)
B. There is no vertical asymptote. Find the horizontal asymptote(s). Select the correct choice below and, if necessary, fill in the answer box to comp
A. The equation(s) of the horizontal asymptote(s) is/are y=0.
(Type an equation. Use a comma to separate answers as needed.)
B. There is no horizontal asymptote. Plot points between and beyond each x-intercept and vertical asymptote. Find the value of the function at the giver
x
f(x)=−x2−41−7−4
0
4
7
□□□□□
(Simplify your answers.)
㸚, Solve for k.
11k2−5k=0
(xi. Write each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas.
k=
Submit
smaller humber than-l.
Use the number line to complete parts (a)-(d). Write the nuthber that represents the phi Then determine which point on the number line corresponds to that number. A loss of 7
Z A gain of 7
W
3 greater than 0
x
less than 0
15. In a football game, all of the home team's points are from 7 -point touchdowns and 3 -point field goals. The team scores six times. Write and solve a system of linear equations to find the numbers of touchdowns and field goals that the home team scores.
(Section 5.1, Section 5.2, and Section 5.3)
260
Chapter 5
Solving Systems of Linear Equations
webassign.net/web/Student/Assignment-Responses/submit?pos=2\&dep=36054629\&tags=autosave"question4777717_2
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SCALCET9 6.1.018.
etch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle.
PREVIOUS ANSWERS
ASK YOUR
2x+y2=48,x=y Find the area of the region.
2 Chelsea spent the same amount of time writing in a journal every day for 14 days. She wrote in the journal for a total of 3.5 hours, as shown in the diagram below. How much time did Chelsea spend writing in the journal each day?
(F) 2.5 h
(H) 0.37 h
(G) 0.24 h
(3) 0.25 h
11
B
I
U
A
Name: Exponential Growth/ Exponential Decay
Date: Period:
d. In how many days total will the video stop being a fan favorite? The typical student loan has an interest rate of approximately 5%. This means a $20,000 loan paid off over 10 years will end up costing you $28,900 The New Jersey Volleyball Association invited 64 teams to compete in a tournament. After each round, half of the teams were eliminated. Create an equation that represents the number of teams, t, that remained in the tournament after r rounds. I
The equation −7(w−3)=70 is solved in several steps below.
For each step, choose the reason that best justifies it.
\begin{tabular}{|c|l|}
\hline Step & Reason \\
\hline−7(w−3)=70 & Given equation \\
\hline−7−7(w−3)=−770 & "Choose one" \\
\hlinew−3=−10 & "Choose one" \\
\hlinew−3+3=−10+3 & \begin{tabular}{l}
Sddition Property of Equality \\
Subtraction Property of Equality \\
Multiplication Property of Equality \\
Division Property of Equality \\
Simplifying
\end{tabular} \\
\hline & \begin{tabular}{l}
Distributive Property
\end{tabular} \\
\hline
\end{tabular}
Express the following equations in logarithmic form:
(a) 52=25 is equivalent to the logarithmic equation:
□
(b) 10−3=0.001 is equivalent to the logarithmic equation:
□
The equation −7(w−3)=70 is solved in several steps below.
For each step, choose the reason that best justifies it.
\begin{tabular}{|c|l|}
\hline Step & Reason \\
\hline−7(w−3)=70 & Given equation \\
\hline−7−7(w−3)=−770 & "Choose one" \\
\hlinew−3=−10 & "Choose one" \\
\hlinew−3+3=−10+3 & "Choose one" \\
\hlinew=−7 & "Choose one" \\
\hline
\end{tabular}
Jack is a great chess player. He wins 76% of the games. He is scheduled to play 120 games this year. What is the expected number of games that he will lose?
ollow the seven step strategy to graph the following rational function.
f(x)=x2−12x2 What is the y-intercept? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The y-intercept is 0 .
(Type an integer or a simplified fraction.)
B. There is no y-intercept. What is/are the x-intercept(s)? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The x-intercept(s) is/are 0.
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
B. There is no x-intercept. Find the vertical asymptote(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The equation(s) of the vertical asymptote(s) is/are □ 7.
(Type an equation. Use a comma to separate answers as needed.)
B. There is no vertical asymptote.
ALGEBRA I-B-TORRES (LMS)
3-1: MathXL for School: Additional Practice (LMS graded)
DUE
Dec 2 - 11:59 pm
Part 1 of 2 Use set-builder notation to describe the domain and range of the function. Describe the domain of the function. If multiple correct answers are possible, use the narrowest possible answer. Select the correct choice below and, if necessary, fill in the answer box(es) within your choice.
A. {x∣x is an odd integer and □≤x≤□
B. {x∣x<□
C. {x∣x⟩□
D. {x∣x is an integer and □≤x≤□ \} Help me solve this
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Based solely on the information given, do you have reason to question the results of the following hypothetical study? Explain your reasoning. A study by a conservative foundation is designed to assess a new Democratic spending plan. Is there reason to question the results? Select all that apply.
A. Yes, there is reason. It makes sense that a Democratic spending plan would be studied by a conservative foundation.
B. Yes, there is reason. There is a possibility of bias in the study.
C. No, there is not reason. The goal of the study is clear.
D. No, there is not reason. There is no bias in the study.
E. Yes, there is reason. The variables that were measured are not identified.
F. No, there is not reason. It is unlikely that there are any confounding variables in the study.
"ints A. Assessmentic
1 For a school celebration, Principal Johnson purchased a large sheet cake that was cut into 100 pieces. She kept 8 pieces for the office staff and divided the remaining pieces equally among the 4 fifth-grade classes. The shaded diagram below shows the part of the cake that was given to the classes. Which equation shows the part of the cake each class received?
(A) 100÷4=25
(B) 0.92÷4=0.23
(c) 0.08÷4=0.02
(D) 0.92÷4=23
Find two numbers a and b such that the following system of linear equations is consistent dependent.
{ax−5y=b−4x+3y=6 Note that the ALEKS graphing calculator may be helpful in checking your answer.
a=□b=
The partial graph of g(x)=f(x)1 is shown. The maximum point of g(x) is at (2,4) and the y-intercept of g(x) is 2 . Given that f(x) is a quadratic function, the equation of f(x), can be written in the form y=a(x−p)2+q. The value of a+p+q, to the nearest tenth, is .
(Record your answer in the numerical response box from left to right) □
Shown below are the scatter plots for four data sets. Answer the questions that follow. Figure 1
Figure 2
Figure 3
Figure 4
\begin{tabular}{|l|l|}
\hline (a) Which data set appears to show a nonlinear \\
relationship between its two variables? & (Choose one) \\
\hline \begin{tabular}{l}
(b) Which data set appears to show a positive linear \\
relationship between its two variables?
\end{tabular} & (Choose one) \\
\hline Try again data set appears to show a negative & \\
\hline
\end{tabular}
Solve the equation on the interval 0≤θ<2π.
(cotθ−1)(cscθ−1)=0 Select the correct choice below and fill in any answer boxes in your choice.
A. The solution set is □ \}.
(Simplify your answer. Type an exact answer, using π as needed. Type your answer i any numbers in the expression. Use a comma to separate answers as needed.)
B. There is no solution on this interval.
Listen Identify the graph of h(x)=x+4. Determine when the function is positive, negative, increasing, or decreasing and describe the end behavior of the function. The function is □ over the interval and
over □
10. If secθ=2 and 0≤θ≤2π, determine the exact value(s) of cscθ. Include a diagram. 11. If sinθ=−1 and π≤θ≤2π, determine the exact value(s) of cosθ and cotθ. Include a diagram. 12. If cosθ=−53 and sinθ<0, determine the exact value(s) of cscθ. Include a diagram. 13. Solve for θ given tanθ=−3 for −2π≤θ≤2π 14. Solve for θ given cotθ=5 for −π≤θ≤π
Good credit: The Fair Isaac Corporation (FICO) credit score is used by banks and other lenders to determine whether someone is a good credit risk. Scores range from 300 to 850 , with a score of 720 or more indicating that a person is a very good credit risk. An economist wants to determine whether the mean FICO score is lower than the cutoff of 720 . She finds that a random sample of 55 people had a mean FICO score of 685 with a standard deviation of 80 . Can the economist conclude that the mean FICO score is less than 720 ? Use the α=0.10 level of significance and the P-value method with the TI-84 Plus calculator. Part: 0/5□ Part 1 of 5
(a) State the appropriate null and alternate hypotheses.
H0:□H1:□ This hypothesis test is a □ (Choose one) test. □
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Consider the function
h(x)=−21x2−2x+2 What is the vertex of h ?
□
What is the equation of the line of symmetry of h ?
□h has a Select an answer
□ of
□
The x-intercept(s) of h is/are
□
The y-intercept of h is
□ Graph h(x) Clear All
Draw:
Learn with an sample
warch a vides Helen made a scale drawing of an office building. A desk, which is 6 feet long in real life, is 2 inches long in the drawing. What scale did Helen use for the drawing? 1 inch : □ feet Subrit
The population of deer in South Bend, Tennessee is being monitored for research purposes. There were 56 deer tagged initially in January 2023. Researchers found the deer growing at a monthly rate of 3.5%, which can be represented by the model: y=56e.035t. Following this trend, how many months did it take for the deer population to reach 103. Round up.
En la siguiente figura, m∠MKJ=137∘.
(a) Escribir una ecuación para hallar x. Asegurarse de utilizar un signo de "=" en su respuesta. Ecuación: □
(b) Resolver para x.
□x=
The population of a small town in central Florida has shown a linear decline in the years 1989-2001. In 1989 the population was 35900 people. In 2001 it was 26900 people.
A) Write a linear equation expressing the population of the town, P, as a function of t, the number of years since 1989.
Answer: □
B) If the town is still experiencing a linear decline, what will the population be in 2006? □
Question
Watch Video Given: DE bisects ∠BDC and DE bisects ∠BEC.
Prove: ∠ABE≅∠ACE. Note: the segment AE is a straight segment.
Answer Attempt 1 out of 2
3. A large tank is partially filled with a solution. The tank has a faucet that allows solution to enter the tank rate of 1643 liters per minute. The tank also has a drain that allows solution to leave the tank at a rate 1954 liters per minute.
(a) What expression represents the change in volume of solution in the tank in 1 minute?
(b) What is the change in volume of the solution after 15 seconds? Show necessary work.
(c) What does the change in volume after 15 seconds mean in the real world? Answer in complet sentences.
Answer:
1. [-/1 Points]
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LARCALCPRECALC3 2.2.026.
ASK YOUR TEACHER
PRACTICE ANOTHER Describe the right-hand and left-hand behavior of the graph of the polynomial function. (Select all that apply.)
f(x)=3x5−9x+4.5
The graph rises to the right.
The graph falls to the right.
The graph rises to the left.
The graph falls to the left.
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Lola drew a scale drawing of a city park. The soccer field is 232 millimeters long in the drawing. The actual field is 116 meters long. What is the scale of the drawing? 2 millimeters : □ meters
Submit
Utilizar la figura para hallar el valor de x.
(a) Escribir una ecuación para hallar x. Asegúrese de utilizar un signo de " = " en la respuesta. Ecuación: □□
(b) Resolver para x.
x=1□
Figure 1
A sled of mass m slides down a rough ramp with a constant speed v0. The angle between the ramp and the horizontal is θ, as shown in Figure 1. The ramp smoothly transitions to a horizontal surface. The coefficients of static and kinetic friction between the sled and the ramp are μs and μb respectively. The ramp and the horizontal surface are made of identical materials.
(a) The dot in Figure 2 represents the sled when the sled is sliding down the ramp at a constant speed. Draw and label arrows that represent the forces (not components) that are exerted on the sled. Each force in your free-body diagram must be represented by a distinct arrow starting on, and pointing away from the dot.
a) What does the differential equation y′(x)=−7∗y(x) tell us about the graph of y against x (the conventional way to plot x and y )?
(Clear my choice)
The slope of y against x is always -7 times the y-coordinate.
The slope of y against x is always -7 times the x-coordinate.
The rate of change of x is always -7 times the x-coordinate.
The slope of y against x is always -7
The slope of y against x is always −1/7 times the y-coordinate.
3.
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LARCALCPRECALC3 2.2.034.
ASK YOUR TEACHER Use a graphing utility to graph the functions f and g in the same viewing window. Zoom out sufficiently far to determine if the right-hand and left-hand behaviors of f and g appear identical.
f(x)=3x4−6x2,g(x)=3x4
Yes
No
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En la figura, m∠1=(8x)∘ y m∠2=(x−9)∘.
(a) Escribir una ecuación para hallar x. Usar el signo de " = " en la respuesta. Ecuación: □
(b) Calcular la medida en grados de cada ángulo.
m∠1=□∘m∠2=□∘