X y
1 = 4
2 = 8
3 = 12
4 = 16
X = pounds
y = price
Answer:
D
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square.
Given
f(x) = - 0.6x² + 4.2x + 240 ← factor out - 0.6 from the first 2 terms
= - 0.6(x² - 7x) + 240
To complete the square
add/ subtract ( half the coefficient of the x- term)² to x² - 7x
f(x) = - 0.6(x² + 2(- 3.5)x + 12.25 - 12.25 ) + 240
= - 0.6 (x - 3.5)² + 7.35 + 240
= - 0.6(x - 3.5)² + 247.35
with vertex = (3.5, 247.35 )
The maximum value is the y- coordinate of the vertex
Then
f(x) = - 0.6(x - 3.5)² + 247.35 has a maximum value of 247.35
Answer: 5 + 25n
Explanation: Let's simplify this problem using the distributive property.
In this problem, the 5 "distributes" through the parentheses which means that it multiplies by each of the terms inside.
So we have 5(1) + 5(5n) which simplifies to 5 + 25n.
Answer:
1/3
Step-by-step explanation:
Range=x maximum (xm) –x minimum (x0)
xm=20+20=40
Coefficient of Range= xm–x0/xm+x0
=40-20/40+20
=20/60
=2/6
=1/3
