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.

correct answer is infinitely many solutions

step-by-step explanation:

2(2x + 3) = -4 + 2(2x + 5)

solving the above equation:

4x + 6 = -4 +4x +10

combining like terms

4x -4x = -4+10-6

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions

i dont know sorry

step-by-step explanation: