The answer is -6.825 in fraction form, it would be -6 33/40
Function 1:
f(x) = -x² + 8(x-15)f(x) = -x² <span>+ 8x - 120
Function 2:
</span>f(x) = -x² + 4x+1
Taking derivative will find the highest point of the parabola, since the slope of the parabola at its maximum is 0, and the derivative will allow us to find that.
Function 1 derivative: -2x + 8 ⇒ -2x + 8 = 0 ⇒ - 2x = -8 ⇒ x = -8/-2 = 4
Function 2 derivative: -2x+4 ⇒ -2x + 4 = 0 ⇒ -2x = -4 ⇒ x = -4/-2 ⇒ x= 2
Function 1: f(x) = -x² <span>+ 8x - 120 ; x = 4
f(4) = -4</span>² + 8(4) - 120 = 16 + 32 - 120 = -72
<span>
Function 2: </span>f(x) = -x²<span> + 4x+1 ; x = 2
</span>f(2) = -2² + 4(2) + 1 = 4 + 8 + 1 = 13
Function 2 has the larger maximum.
Answer:
13 x^2 -6x -9
Step-by-step explanation:
8x^2-4x-3+5x^2-2x-6
Combine like terms
8x^2+5x^2 -4x-2x -6-3
13 x^2 -6x -9
Answer:
Mike can go 124 miles
Step-by-step explanation:
Car rent = $29.20
However, a customer has to pay $0.20 for every mile.
Mike has $54 to spend on the car for a day.
If he pays the car rent which is $29.20, then he has
$54 - $29.20 = $24.80 remaining
1 mile = $0.20
x miles = $24.80
By cross multiplication
0.20x = 1 * 24.80
x = 24.80/0.20
x = 124 miles
Answer:
(-x-6)(x-8)
Step-by-step explanation:
