Answer:
16n + 8
Step-by-step explanation:
g(f(n)) = g(4n+2)
= 4(4n +2)
= 16n + 8
The answer is m∠R = 48.59
°
Answer:
Step-by-step explanation:
10% of 44= 4.4
5% of 4.4=0.22
Answer:
<h2>a) length x = 45ft</h2><h2>b) maximum area = 4050 ft²</h2>
Step-by-step explanation:
Given the quadratic equation A=−2x2+180x that gives the area A of the yard for the length x, to maximize the area of the yard then dA/dx must be equal to zero i.e dA/dx = 0
If A=−2x²+180x
dA/dx = -4x + 180 = 0
-4x + 180 = 0
Add 4x to both sides
-4x + 180 + 4x = 0 + 4x
180 = 4x
x = 180/4
x = 45
<em></em>
<em>Hence the length of the building that should border the yard to maximize the area is 45 ft</em>
<em></em>
To find the maximum area, we will substitute x = 45 into the modelled equation of the area i.e A=−2x²+180x
A = -2(45)²+180(45)
A = -2(2025)+8100
A = -4050 + 8100
A = 4050 ft²
<em>Hence the maximum area of the yard is equal to 4050 ft²</em>
Step-by-step explanation:
Since the focus lies on the x axis, and the diretcrtirx is a vertical line, we have a sideways parabola so we have the equation
where h,k is the vertex and
p is the distance from the vertex to the focus or the distance fromcthe vertex to the directrix.
Since the focus is 1.5, and the directrix is -1.5 the vertex is (0,0) so we have
We know p is 1.5 so we have