What is the factored form of 12x3+8x2?
4x2(3x+2)
Write an inequality that describes the domain and range of the function shown below?
Domain: -4 ≤ x < 2
Range: -3 < y ≤ 4
What is the product of 2x2+4x-10 and 3x2-x-8?
6x4+10x3-50x2-22x-80
A hospital recorded the number of flu tests given over several weeks during flu season. The number of flu tests given after x weeks can be modeled by the exponential function f(x)=33(1.32)x. How many flu tests were administered the first week? What value represents the rate of change in the function?
33 tests the first week
0.32 is the rate of change
Describe the mean of the following data set:
{8, 12, 16, 11, 14, 19, 20, 10, 11, 23}
14.4
Factor the quadratic expression 75x3 - 507x
3x(5x + 13)(5x - 13)
Using the sequence 4, 9, 14, 19, ...,write the explicit formula and find the 25th term.
an = 4 + 5(n-1)
a25 = 124
Coach Luna is designing a rectangular practice field for elementary soccer and kickball. The length of the practice field is 6 yards longer than its width. The expression w2+6w-187=0 is a valid relationship for the practice field. What quantity could the 187 represent?
The area of the field
w(w+6)=187
A farmer bought a new tractor for $55,000. Its value will decrease by 8% each year. Write a function to find its value, f(x), after x years. What will the value of the tractor be after 3 years?
f(x) = 55,000(.92)x
f(3) = $42,827.84
Describe the skew of this distribution:
Negatively skewed
Factor the expression x2- 2x - 15
(x+5)(x-3)
Tracy has made a new budget that includes all of her necessary expenses. Now she needs to know how much money she has left to spend on entertainment. Write and solve an inequality to find how much money Tracy has left to spend on entertainment, where y is entertainment.
y ≤ $50
Calculate the average rate of change, to the nearest tenth, from 1980 to 2010.
451.6
The first five terms of a geometric sequence are a1=625, a2=500, a3=400, a4=320, and a5=256. Create an equation that can be used to find the nth term of the sequence.
an = 625(4/5)n-1
Which situation best represents causation?
A) As men get older, the amount of hair on their head decreases
B) The more sleep a student receives will result in increased test scores
C) When the wattage of bulbs is increased, the amount of light emitted is increased
D) When the amount of traps is increased, the number of ants is decreased
C
Factor the expression 4n2 - 24n - 13
(2x + 1)(2x - 13)
The functions f(x)=5x and g(x)=2x are graphed below. Which function is greater at x=0? Which function is greater at x=2?
g(x) is greater at x=0
f(x) is greater at x=2
What is the function g(x) created from f(x) = x2 by moving the graph left 9 units, vertically stretching it by a factor of 4, and shifting the graph up 5 units?
g(x) = 4(x2+9)+5
A certain type of bacteria doubles in population every hour. Their growth can be modeled by an exponential equation. Initially, there are 15 bacteria colonies present in the sample. Write an equation to model the growth. How many colonies are present after three and a half hours?
f(x) = 15(2)x
f(3.5) = 169 colonies
The table shows the number of points that Cory and Robby have scored in each basketball game they have played this season. Given that the distribution of scores is a normal distribution, which student has the greater spread of the data based on the standard deviation of points scored?
Robby has a greater spread
x=-1/3
x=-3/2
Carmen currently has $5 and earns $2 each week as an allowance from her parents. Her sister Lily currently has $10 but earns $1 each week as an allowance. Express Carmen's total amount of money as C(x) where x is the number of weeks, and Lily's total amount of money as L(x) where x is the number of weeks.
How long will it take for Carmen and Lily to have the same amount of money?
C(x) = 2x + 5
L(x) = x + 10
5 weeks
A rock is thrown from a height of 48 feet. Solving the quadratic equation 0=-16t2+32t+48 will give the time, t, when the rock hits the ground. Assume the rock is thrown when x=0 seconds. How many seconds does it take for the rock hit the ground?
x=3 seconds
Larry invested $27,000 in a savings account that pays an annual interest rate of 1.8%. The savings account is set to compound quarterly (4 times per year). Write a function representing the amount in Larry's account after x years. How much is in Larry’s account after 5 years?
A = 27,000(1 + (.018/4))4t
A = $29,536.74
What are the coordinates of the midpoint between the diner and the library?
(-1, 4.5)