Answers TX-College Prep Math BUnit Test

Unit Test — Unit test Answers

25 verified answers1 views

Free Preview

For what values of m does the graph of y = 3x2 + 7x + m have two x-intercepts?

m greater-than StartFraction 25 Over 3 EndFraction

m less-than StartFraction 25 Over 3 EndFraction

m less-than StartFraction 49 Over 12 EndFraction

m greater-than StartFraction 49 Over 12 EndFraction

Free Preview

The table below shows y, the average speed of a cyclist in miles per hour, and x, the time in hours that it takes the cyclist to complete a bicycle tour. Which rational function best models the data in the table?Time, x(hours)Average Speed, y(miles per hour)128166918

mc008-3.jpg

mc008-4.jpg

mc008-5.jpg

mc008-6.jpg

Marshall bought 32 ounces of mixed nuts, which are estimated to be 30% peanuts. Which expression can be used to find the percentage of peanut concentration of the final mix if he adds x ounces of peanuts?

mc012-1.jpg

mc012-2.jpg

mc012-3.jpg

mc012-4.jpg

A rectangle’s length is three times its width, w. Its area is 243 square units. Which equation can be used to find the width of the rectangle?

w2 = 3(243)

3w2 = 243

4w2 = 243

3w2 = 3(243)

Solve for in the equation .

x = negative 4 plus-or-minus StartRoot 37 EndRoot i

x = –4 ± 5i

x = 4 plus-or-minus StartRoot 37 EndRoot i

x = 4 ± 5i

Ajay analyzed two companies and has formulated tables to model each company’s growth, where x represents the age of the companies in years and y represents growth in terms of number of employees. Company 1 Company 2 If the number of employees is an indicator of a successful business, in which company should Ajay invest?

company 1 because it is adding six employees each year while company 2 is multiplying its number of employees by six each year

company 1 because it is multiplying its number of employees by six each year while company 2 is adding six employees each year

company 2 because it is adding six employees each year while company 1 is multiplying its number of employees by six each year

company 2 because it is multiplying its number of employees by six each year while company 1 is adding six employees each year

The product of two consecutive integers is 420. Which quadratic equation can be used to find x, the lesser number?

x2 + 1 = 420

x2 + 2 = 420

x2 + x = 420

x2 + 2x = 420

In which quadrant is the number 6 – 8i located on the complex plane?

III

Use completing the square to solve for in the equation .

x = –1 or 15

x = 1 or 7

x = 4 plus-or-minus StartRoot 41 EndRoot

x = 4 plus-or-minus StartRoot 73 EndRoot

What is the square root of –16?

–8i

–4i

Which equation demonstrates the multiplicative identity property?

(negative 3 + 5 i) + 0 = negative 3 + 5 i

(negative 3 + 5 i ) (1) = negative 3 + 5 i

(negative 3 + 5 i) (negative 3 + 5 i) = negative 16 minus 30 i

(negative 3 + 5 i) (3 minus 5 i) = 16 + 30 i

What is the value of the expression i 0 × i 1 × i 2 × i 3 × i 4?

–1

–i

Which values of x and y would make the following expression represent a real number?(4 + 5i)(x + yi)

x = 4, y = 5

x = –4, y = 0

x = 4, y = –5

x = 0, y = 5

Using the quadratic formula to solve 4x2 – 3x + 9 = 2x + 1, what are the values of x?

StartRoot 1 plus-or-minus StartRoot 159 EndRoot i Over 8 EndFraction

StartRoot 5 plus-or-minus StartRoot 153 EndRoot i Over 8 EndFraction

StartRoot 5 plus-or-minus StartRoot 103 EndRoot i Over 8 EndFraction

StartRoot 1 plus-or-minus StartRoot 153 EndRoot Over 8 EndFraction

Tables of values for two different functions are given below. Which statement is true?

The right function grows approximately 21 times faster than the left function over the interval 4 < x < 5.

The right function grows approximately 21 times slower than the left function over the interval 4 < x < 5.

The right function grows approximately 6 times faster than the left function over the interval 2 < x < 3.

The right function grows approximately 2.5 times slower than the left function over the interval 2 < x < 3.

Which of the following describes the growth rate of the exponential function in the graph below?

For each x increase of 1, the y increases by a common difference of 3.

For each x increase of 1, the y increases by a common factor of 3.

For each x increase of 1, the y increases by 4 more than the previous increase.

For each x increase of 1, the y increases by doubling and then adding 1.

Evaluate when and .

29 i

29 i minus 20

Negative 21 i

The sum of two complex numbers, where the real numbers do not equal zero, results in a sum of 34i. Which statement must be true about the complex numbers?

The complex numbers have equal imaginary parts.

The complex numbers have equal real parts.

The complex numbers have opposite imaginary parts.

The complex numbers have opposite real parts.

What is the absolute value of the complex number ?

StartRoot 14 EndRoot

3 StartRoot 2 EndRoot

The cost of catering a dinner is $11.95 per person plus $25 for delivery and setup. Which statement is true about the graph of the function that represents the average cost per person?

The horizontal asymptote y = 0 represents that the cost per person approaches $0 as the number of people increases.

The horizontal asymptote y = 11.95 represents that the cost per person approaches $11.95 as the number of people increases.

The vertical asymptote x = 0 represents that the cost per person approaches $0 as the number of people increases.

The vertical asymptote x = 11.95 represents that the cost per person approaches $11.95 as the number of people increases.

Did you find these answers helpful?

Unit Test — Unit test Answers

More from this Course

TRY EDGENUITY HACKS