Answer:
1.6
Step-by-step explanation:
1.6
Y=-2x+7 That is the equation written in y=mx+b formula
Answer:
30.4 feet.
Step-by-step explanation:
We have been given the length of the ramp on the blueprint is 7.6 inches. The scale on the blueprint is 1 inch to 4 feet. We are asked to find the actual length of the ramp.
We will use proportions to solve our given problem as:
Now, we will substitute the scale length of ramp in our proportion as:
Therefore, the actual length of the ramp would be 30.4 feet.
Answer:
) See annex
b) See annex
x = 0,5 ft
y = 2 ft and
V = 2 ft³
Step-by-step explanation: See annex
c) V = y*y*x
d-1) y = 3 - 2x
d-2) V = (3-2x)* ( 3-2x)* x ⇒ V = (3-2x)²*x
V(x) =( 9 + 4x² - 12x )*x ⇒ V(x) = 9x + 4x³ - 12x²
Taking derivatives
V¨(x) = 9 + 12x² - 24x
V¨(x) = 0 ⇒ 12x² -24x +9 = 0 ⇒ 4x² - 8x + 3 = 0
Solving for x (second degree equation)
x =[ -b ± √b²- 4ac ] / 2a
we get x₁ = 1,5 and x₂ = 0,5
We look at y = 3 - 2x and see that the value x₂ is the only valid root
then
x = 0,5 ft
y = 2 ft and
V = 0,5*2*2
V = 2 ft³
1.59, 1.95, 9.15, 9.5, 15.9
