Functions f(x) and g(x) are described as follows: f(x) = −5x2 + 9 x g(x) 0 0 1 4 2 8 3 4 4 0 which statement best compares the maximum value of the two functions?

Which statement best compares the maximum value of the two functions?

A. It is equal for both functions

B. It is 3 units higher for f(x) than g(x)

C. It is 3 units lower for f(x) than g(x)

D. It is 1 unit higher for f(x) than g(x)

Solution : D. It is 1 unit higher for f(x) than g(x)

Given:

f(x) = −5x^2 + 9

g(x) is 00 14 28 34 40

We make a table for f(x) as well. We use same x vales given in g(x)

We plug in x values and find f(x)

x > g(x) > f(x)

0 > 0 >9

1 > 4 > 4

2 > 8 >-11

3 > 4 >-36

4 > 0 > -71

From the table we can see that maximum value of g(x) is 8 and maximum value of f(x) is 9 that is 1 unit higher for f(x) than g(x)

Answer is option D.

the ratio of grapes to blueberries she should use is 12: 3

step-by-step explanation:

if mandie is making 15 cups of fruit salad, the ratio of grapes to blueberries she should use is 12: 3.

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi