Answer: the answer is rotated counterclockwise and 180 degrees about the origin! Trust me I did the test
Step-by-step explanation:
Answer:
x = 59.4 ft
y = 84.18ft
Step-by-step explanation:
The cost of exterior walls is $150 per linear foot.
The cost of interior walls is $100 per linear foot.
xy = 5000
y = 5000/x
For the exterior walls, we have 2(x+y)(120)
For the interior wall, we have 100x
The cost function = C
C = 2(x+y)(120) + 100x
C= 240(x+y) + 100x
= 240x + 240y + 100x
= 340x + 240y
Recall that y = 5000/x
C = 340x + 240(5000/x)
C = 340x + 1200000/x
Differentiate C with respect to x
C'(x) = 340 - 1200000/x^2
= (340x^2 -1200000) / x^2
To minimize cost C'(x) = 0
(340x^2 -1200000) / x^2 = 0
340x^2 -1200000 = 0
340x^2 = 1200000
x^2 = 1200000/340
x = √1200000/340
x = 59.4 ft
Recall that y = 5000/x
y = 5000/59.4
y = 84.18 ft
Answer:
Radians
<em>Hope that helps!</em>
Step-by-step explanation:
Answer: Check out the filled out chart below.
Row 1: 1/4, 1/4, -4
Row 2: -2, -2, 1/2
Row 3: 3, 3, -1/3
=========================================
Explanation:
Parallel lines have equal slopes. So if the original line has slope 1/4, then any parallel line will also have slope 1/4. The only thing different is the y intercept.
Perpendicular slopes multiply to -1 assuming neither line is vertical. For row 1, the perpendicular slope is -4 which multiplies with the original slope 1/4 to get -1.
Put another way, the perpendicular slope is the negative reciprocal of the original slope. For row 2, the perpendicular slope is 1/2 because we flip the fraction and the sign for the original slope -2 = -2/1
<span>(f o g)(4) = f(g(4))
so
g(4) = </span><span>-2(4) -6 = -14
</span>f(g(4)) = <span>3(-14) -7 = -49
answer
</span><span> (f o g)(4) = -49</span>
