What is the value of x in the equaiton below?
2(x+8) - 4x = 10x + 4
x = 1
Select all of the choices that represent exponential growth.
A. y = 4(2)x
B. y = 2(1.5)x
C. y = 0.89(4/5)x
D. y = 6(0.99)x
A. y = 4(2)x
B. y = 2(1.5)x
Write the equivalent expression to the following:
(x - 3)(3x + 2)
3x2 - 7x -6
Write a system of equations to represent the following scenario:
Mark has 48 coins in his piggy bank. The total value of the coins is $5.28.
p + q = 48
0.01p + 0.25q = 5.28
4, 18, 9, 1, 13, 23, 5
Mean = 10.7
Median = 9
What is the solution to this inequality?
7(2m - 3) < 20m - 9
m > -2
A town determined that the function f(x) = 30(.95)x models the number of car accidents reported x years after 2015. Which statement is true?
A. The number of accidents increased by 5% each year.
B. The number of accidents decreased by 95% each year.
C. The number of accidents decreased by 5% each year.
D. The number of accidents increased by 95% each year.
C. The number of accidents decreased by 5% each year.
What is the value of the positive zero of the function x2 - 64 = 0?
8
What is the value of y in the system shown.
7x + 4y = 19
2x - 4y = 26
y = -4
Abby scored 87, 93, 96 and 89 on her first four science quizzes. What score does she need to get on her fifth quiz to have an average of exactly 91 on her quizzes?
90
A company uses the formula C = 891b + 120s to determine the total cost to purchase b bikes and s scooters. Write a formula to determine the number of scooters purchased.
s = (C - 891b) / 120
Nicole invested $500 into an account. The value of the account after t years can be found using the function f(t) = 500(1.032)t. What is the percent annual rate of change in the value of the account?
3.2%
What are the solutions to the equation
4x2 - 4x - 27 = 21
{-3, 4}
Using the following system of equation, what is the value of x + y?
2x + 3y = 23
x = 2y + 1
10
Which of the following shows the strongest correlation?
A. 0.63
B. -0.04
C. -0.89
D. 0.75
C. -0.89
Write an equation of a line in slope-intercept form that passes through the point (4, -5) and is perpendicular to the line x + 2y = 5.
y = 2x - 13
The population of Charlotte in the year 2005 was 641,314. The population has been increasing by 6% every 3 years. What will be the population in the year 2020?
858,222 people
[ x = 5 641314(1.06)5 ]
What is the value of the negative zero of the function g(x) = 3x2 +14x - 5?
x = -5
The sum of two number is 85. The smaller number is 5 less than the larger number. Find the numbers.
40, 45
The table above displays the walking heart rate and running heart rate of eight girls in beats per minute (bpm). Using the linear best-fit model for the data, what is the predicted running heart rate of a girl whose walking heart rate is 105 bpm?
168 bpm
A line passes through the points (k, 4) and (3, -6). The line is perpendicular to the graph of 5y + 4x = 8. What is the value of k?
11
The value of a Honda Pilot in 1996 was 20,870. The cars value depreciates in value by 13% each year. What is the value of the Honda in 2009?
$3414.07
An object is launched straight upward from ground level with an initial velocity of 80 ft per second. The formula h = 80t - 16t2 gives its height, h, in feet, after t seconds. At what time does the object hit the ground?
t = 5 seconds
The length of a rectangle is twice its width. The perimeter of the rectangle is 144 ft. Find the length of the rectangle.
L = 48 ft
Given the nine data points below, what would happen to the mean and the median if 45 was added to the data set?
8, 11, 12, 10, 9, 7, 5, 3, 9
The mean will increase and the median will stay the same.