Answer: -6x² + 15x + 5
Step-by-step explanation:
To solve this problem, you only need to substitute g(x)'s equation as the value of the x in f(x), then simplify.
Step 1: f(x) = -3(2x² - 5x - 1) + 2
Step 2: Apply the distributive property
-3(2x²) + -3(-5x) + -3(-1)
-6x² + 15x + 3
Step 3: Simplify
f(x) = -6x² + 15x + 3 + 2
f(x) = -6x² + 15x + 5
Answer:
D) y = 1/3-x
Step-by-step explanation:
The average rate of changes for each of the functions between 0 and 1 is 8, 3, 1, and 2. The average rate of change of y = 3x is 2. Therefore the same average rate of change is 2, which is the function y = 1/3-x
Answer: 21/100
Step-by-step explanation:
Number of green marbles = 21
Number of blue marbles = 35
Number of red marbles = 18
Number of yellow marbles = 26
Total number of marbles = 100
The probability of choosing a free marble will be:
= Number of green marbles / Tot number of marbles
= 21 / 100
Answer:
The area of the base would be 5 units.
Step-by-step explanation:
To find the volume of a rectangular prism you would multiple the length, height, and width together. So, to find the area of one side divide one side length, 25, from the volume of 125 (125 ÷ 25), which equals 5 units.