Answer:
Range D = {-7, 1, 9, 17}
Step-by-step explanation:
f(x) = 4x + 9
4(-4) + 9 = -7
4(-2) + 9 = 1
4(0) + 9 = 9
4(2) + 9 = 17
The radius for number 2 is 9 inches the height is 20 inches. So you plug in those numbers into the equation to make: pi x 9^2 x 20 = 5089.38
The radius for number 3 is 10 inches and the height is 3 inches. So you plug in those numbers into the equation to make: pi x 10^2 x 3 = 942.48
The radius for number 4 is 5 inches and the height is 8 inches. So you plug in those numbers into the equation to make: pi x 5^2x 8 = 628.32
The radius for number 5 is 2 centimeters and the height is 5 centimeters. So you plug in those numbers into the equation to make: pi x 2^2(5) = 62.83
Answer:
$2.10
Step-by-step explanation:
90 divided by 3
=30
30 times 7
=210
210 divided by 10
=2.10
Answer:
(5, - 8 ) and (- 1, 4 )
Step-by-step explanation:
Given the 2 equations
y = - x² + 2x + 7 → (1)
y = - 2x + 2 → (2)
Substitute y = - 2x + 2 into (1)
- 2x + 2 = - x² + 2x + 7 ← subtract - x² + 2x + 7 from both sides
x² - 4x - 5 = 0 ← in standard form
(x - 5)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
x + 1 = 0 ⇒ x = - 1
Substitute these values into (2) for corresponding values of y
x = 5 → y = - 2(5) + 2 = - 10 + 2 = - 8 ⇒ (5, - 8)
x = - 1 → y = - 2(- 1) + 2 = 2 + 2 = 4 ⇒ (- 1, 4)
Answer:
<h2>y = 2x - 3</h2>
Step-by-step explanation:
y = (slope)x + (y-intercept)
