The functions below represents the amount of water released from two reservoirs over x to weeks. reservoir a f(x) = x2^ -7x +5 reservoir b g(x) =3x2^ -6x+2 the function h(x) = f(x) - g(x) represents the difference in the amounts of water released. determine which statement about h(x) and about the reservoirs are true check all apply
a. h(x)=-2x2^-13x+6
b. h(x) =-2x2^ -x+3
c. reservoir a releases less water than reservoir b over 1 week
d. reservoir a releases the same amount of water as reservoir b over one week
e. reservoir a released more than reservoir b over 1 week.

Step-by-step explanation:

f(x) =  x² - 7x + 5

g(x) =3x² - 6x + 2

1.Calculate h(x)

h(x) = f(x) - g(x) = x² - 7x + 5 - (3x² - 6x + 2) = x² - 7x + 5 - 3x² + 6x – 2

2.Calculate h(1)

h(1) = -2x² - x + 3 = -2(1)² - 1 + 3 = -2 -1 + 3 = 0

B and D

Step-by-step explanation:

We are given that two functions which represents the amount of water released from two reservoir A and B

Reservoir A:

Reservoir B:

Where x represents number of week

We have to determine the statement is true about function h(x) and about reservoir are true.

h(x)=f(x)-g(x)

Where the function h(x) represents the difference in the amount of water released

Given

Substitute the values of f(x) and g(x)  then we get

Hence, option A is true but option B is false.

When we substitute x=1 then we get

f(1)=1-7+5=-1

g(1)=3-6+2=-1

Hence, reservoir A  and reservoir B release the same amount of water in one week.

Therefore, option D is true.

B and D.

9 x 8 divided by (5-3)=36