Given f(x)=−x^2+2x+14, find f(8)
-34
factor x^2 +10x + 16
(x + 8)(x + 2)
Given the function g(x)=x2−5x+2, determine the average rate of change of the function over the interval 3≤x≤4.
-4
Solve using substitution:
y= -x-32
y=7x
(-4,-28)
Use the quadratic formula to solve. Simplify.
3y^2−10y−10=3y
y = 5, y = -2/3
An element with a mass of 780 grams decays by 16.3% per minute. How much of the element is remaining after 16 minutes, to the nearest 10th of a gram?
45.3 grams
A basketball player takes a shot. The height of the ball, h, in meters, can be modeled by the function h=-4t^2+8t+3, where t is time in seconds. **What is the maximum height of the basketball?
***At what time does the basketball reach its maximum height?
7 meters
1 second
Solve using Elimination
3x−4y= −29
6x+5y= -32
(-7,2)
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of a second.
y = −16^2+127x+11
8.77 seconds
The original value of an investment is $1400, and the value increases by 9% each year. Use an exponential growth function to find the value of the investment after 25 years. ** Round to the nearest cent.
$12,072.31
A colony of bacteria has a population of 3,000 at noon on Sunday. During the next week, the colony’s population doubles every day. What is the population of the bacteria colony at noon on Saturday?
192