Question 1

A cafeteria food manager studied the lunchtime eating habits of a group of employees in their office building. The purpose of the study was to determine the proportion of employees who purchased lunch in the cafeteria, brought their lunch from home, or purchased lunch from an outside vendor. This collection of data would best be classified as

30

an observational study

an experiment

a simulation

a census

Accepted Answer

an observational study

Answer

an experiment

Answer

a simulation

Answer

a census

Question 2

Which graph has imaginary roots?

Accepted Answer

https://uploads.quizalize.com/a8579f95-324b-44e7-9207-789e95af7b3b/question/78cff14675c93f9118c1d032faae6260547075da.jpg

Answer

https://uploads.quizalize.com/a8579f95-324b-44e7-9207-789e95af7b3b/question/755fb96f0a7698c9bb2948f7f490ff2cb9dc8cfb.jpg

Answer

https://uploads.quizalize.com/a8579f95-324b-44e7-9207-789e95af7b3b/question/7cbd50181ea49fecd5d28349b4061ad26d800cd2.jpg

Answer

https://uploads.quizalize.com/a8579f95-324b-44e7-9207-789e95af7b3b/question/cfd91ad20cb69ca64daa43b8fbe8c93e85c51b47.jpg

Question 3

Given $3$ is a root of $f\left(x\right)=x^4-x^3-21x^2+45x,$ what are the other unique roots of $f\left(x\right)$ ?

Accepted Answer

$-5$ and $0$

Answer

$-5$ and $0$

Answer

<math>-5,</math> only

Answer

$-5$ and $0$

Question 4

Given $3$ expressed in logarithmic form, is equivalent to

Accepted Answer

<math>\log_{\frac{1}{2}}\left(p\right)=q</math>

Answer

<math>\log_p\left(\frac{1}{2}\right)=q</math>

Answer

<math>\log_q\left(p\right)=\frac{1}{2}</math>

Answer

<math>\log_{\frac{1}{2}}\left(q\right)=p</math>

Question 5

Which graph best represents the graph of $3$ where $f\left(x\right)=x^4-x^3-21x^2+45x,$ and $f\left(x\right)$ are positive real numbers?

Accepted Answer

https://uploads.quizalize.com/a8579f95-324b-44e7-9207-789e95af7b3b/question/6604245f955cbbb69c4ae738c81ace02d2f7d7c6.jpg

Answer

https://uploads.quizalize.com/a8579f95-324b-44e7-9207-789e95af7b3b/question/223dea04593dcf9815709f33cb3a55970e99593e.jpg

Answer

https://uploads.quizalize.com/a8579f95-324b-44e7-9207-789e95af7b3b/question/2331e277e0db0cfd83b2a489aa4c32d55d1b0bd8.jpg

Answer

https://uploads.quizalize.com/a8579f95-324b-44e7-9207-789e95af7b3b/question/16e2c5e108ac6860df8b029bdc615a2172397df7.jpg

Question 6

The equations $3$ and $f\left(x\right)=x^4-x^3-21x^2+45x,$ approximately model the growth of two separate populations where $f\left(x\right)$ What is the best approximation of the time, $t,$ at which the populations are the same?

Accepted Answer

Answer

Answer

Answer

Question 7

Given $3$ and $f\left(x\right)=x^4-x^3-21x^2+45x,$ the point of intersection in Quadrant II is

Accepted Answer

<math>\left(-1,\ 2\right)</math>

Answer

<math>\left(1,-2\right)</math>

Answer

<math>\left(-2,\ 1\right)</math>

Answer

<math>\left(-1,\ 1\right)</math>

Question 8

The rational expression $3$ is equivalent to

Accepted Answer

Answer

Answer

Answer

Question 9

The equation of the parabola that has its focus at the point $3$ and directrix at $f\left(x\right)=x^4-x^3-21x^2+45x,$ is

Accepted Answer

<math>y=\frac{1}{4}\left(x+3\right)^2+1</math>

Answer

<math>y=\frac{1}{8}\left(x+3\right)^2+1</math>

Answer

<math>y=\frac{1}{4}\left(x-3\right)^2+1</math>

Answer

<math>y=\frac{1}{8}\left(x-3\right)^2+1</math>

Question 10

The seventh term of the geometric sequence

$\sqrt{6},\ -2\sqrt{3},\ 2\sqrt{6},\ -4\sqrt{3}...$ is

Accepted Answer

Answer

Answer

Answer

Question 11

A company wishes to determine the cooking time for one pound of spaghetti. The company’s technicians cooked one pound of spaghetti and recorded the time needed for the spaghetti to be ready to eat. Repeating this process $3$ times resulted in an approximately normal distribution, with a mean of $f\left(x\right)=x^4-x^3-21x^2+45x,$ minutes and a standard deviation of $f\left(x\right)$ minutes. In which interval should the middle $t,$ of cooking times fall?

Accepted Answer

<math>\left(7.02,\ 12.62\right)</math>

Answer

<math>\left(9.35,\ 10.29\right)</math>

Answer

<math>\left(8.42,\ 11.22\right)</math>

Answer

<math>\left(6.82,\ 11.32\right)</math>

Question 12

Given $3$ and $f\left(x\right)=x^4-x^3-21x^2+45x,$ what is $f\left(x\right)$ for all defined values?

Accepted Answer

Answer

Answer

Answer

Question 13

Which equation is equivalent to $3$ ?

Accepted Answer

Answer

Answer

Answer

Question 14

The average cost of a gallon of milk in the United States between the years of $3$ and $f\left(x\right)=x^4-x^3-21x^2+45x,$ can be modeled by the equation $f\left(x\right)$ where $t,$ represents the cost, in dollars, and $t$ is time in years since January $1995.$ During this time period, in what year did $P\left(t\right)$ reach its maximum?

Accepted Answer

Answer

Answer

Answer

Question 15

The temperature, $3$ in degrees Fahrenheit, after $f\left(x\right)=x^4-x^3-21x^2+45x,$ hours of a roast put into an oven is given by the equation $f\left(x\right)$ What wasthe temperature of the roast when it was put into the oven?

Accepted Answer

Answer

Answer

Answer

Question 16

The roots of the equation $3$ in simplest $f\left(x\right)=x^4-x^3-21x^2+45x,$ form are

Accepted Answer

Answer

Answer

Answer

Question 17

Which equation does not represent an identity?

Accepted Answer

<math>\left(x+y\right)^3=x^3+3xy+y^3</math>

Answer

<math>x^2-y^2=\left(x+y\right)\left(x-y\right)</math>

Answer

<math>\left(x-y\right)^2=\left(x-y\right)\left(x-y\right)</math>

Answer

<math>\left(x+y\right)^2=x^2+2xy+y^2</math>

Question 18

Two surveys were conducted to estimate the proportion of teens who use social media at least once per day.

Based on these results, it was determined that approximately $0$ of teens use social media at least once per day. What is the best explanation of the difference in the results between the two surveys?

Accepted Answer

The larger sample size of $3$ teens resulted in a smaller margin of error and should provide a more accurate estimate.

Answer

The smaller sample size of five teens resulted in a smaller margin of error and should provide a more accurate estimate.

Answer

The smaller sample size of five teens resulted in a bigger margin of error and should provide a more accurate estimate.

Answer

The larger sample size of $3$ teens resulted in a bigger margin of error and should provide a more accurate estimate.

Question 19

Given $3$ and $f\left(x\right)=x^4-x^3-21x^2+45x,$ the value of $f\left(x\right)$ is

Accepted Answer

Answer

Answer

Answer

Question 20

Robert is buying a car that costs $3$ After a down payment of $f\left(x\right)=x^4-x^3-21x^2+45x,$ he borrows the remainder from a bank, a six year loan at $f\left(x\right)$ annual interest rate. The following formula can be used to calculate his monthly loan payment.

$R=\frac{\left(P
ight)\left(i
ight)}{1-\left(1+i
ight)^{-t}} \ R=monthly \ payment\ P = loan \ amount \ i= monthly \ interest \ rate \ t=time, \ in \ months$ Robert’s monthly payment will be

Accepted Answer

Answer

Answer

Answer

Question 21

Given $3$ where $f\left(x\right)=x^4-x^3-21x^2+45x,$ what is the value of $f\left(x\right)$ ?

Accepted Answer

Answer

Answer

Answer

Question 22

To solve the equation $3$ Joan’s first step is to multiply both sides by the least common denominator. Which statement is true?

Accepted Answer

$-5$ is an extraneous solution.

Answer

There are no extraneous solutions.

Answer

$-5$ and $0$ are extraneous solutions.

Answer

$-5$ is an extraneous solution.

Question 23

Beginning July 1, 2019, Michelle deposited $3$ into an account that yields $f\left(x\right)=x^4-x^3-21x^2+45x,$ each month. She continued to make $f\left(x\right)$ deposits into this account on the first of each month for $t,$ years. Which expression represents the amount of money that was in the account after her last deposit was made on June 1, 2022?

Accepted Answer

<math>\frac{250-250\left(1.0015\right)^{36}}{1-1.0015}</math>

Answer

<math>250\left(1.0015\right)^3</math>

Answer

<math>\frac{250-250\left(1.0015\right)^3}{1-1.0015}</math>

Answer

<math>250\left(1.0015\right)^{36}</math>

Question 24

A study of the red tailed hawk population in a given area shows the population, $3$ can be represented by the function $f\left(x\right)=x^4-x^3-21x^2+45x,$ where $f\left(x\right)$ represents the number of years since the study began. In terms of the monthly rate of growth, the population can be best approximated by the function

Accepted Answer

<math>H\left(t\right)=50\left(1.015\right)^{12t}</math>

Answer

<math>H\left(t\right)=50\left(1.15\right)^{\frac{t}{12}}</math>

Answer

<math>H\left(t\right)=50\left(1.19\right)^{\frac{t}{12}}</math>

Answer

<math>H\left(t\right)=50\left(1.19\right)^{12t}</math>

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