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IRINA_888 [86]
2 years ago
11

Solve the system of equations x+y= -13 and 4x + 6y = -72 by combining the equations.

Mathematics
1 answer:
uranmaximum [27]2 years ago
8 0

Answer:

Step-by-step explanation:

Fist you add -13 to 6y and than 4x that should be 69420

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Let f(x) = 3x+5 and g(x) = x^2. Find g(x)/f(x) and state its domain
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1/x-2; domain is the set of all real numbers except 2

Step-by-step explanation:

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A rancher plans to make 4 identical and adjacent rectangular pens against a barn (see figure below), each with an area of 100 m^
Tasya [4]

Answer:

10 by 10 meters

Step-by-step explanation:

In calculus terms, you can use the formula for the perimeter which is 2l + 2w, and the area l × w.

Then since the area is 100

l × w = 100. So w = 100/l

Then substitute this into the perimeter formula.

w = 100/l → 2l + 2(w) = 2l + 2(100/l) = 2l + 200/l.

Then take the derivative d/dx [take the derivative of a quantity with respect to x], by using a simpler method known as the power rule:

d/dx[x^n] = nx^n-1

so p = 2l + 200/l becomes p' = 2 - 200/l^2

Since the derivative of a constant is 0, to solve for l, set p' to 0

0 = 2 - 200/l^2 → -200/l^2 = -2 → 200/l^2 = 2 → 2l^2 = 200 → l^2 = 100 → l = √100, l = 10.

Now that we know the length is 10, We can substitute the length in the original equation to find the width.

l = 10 → w = 100/l → w = 100/10, w = 10.

Therefore the perimeter of each rectangular pen is 40, with a length of 10 and width of 10.

If you want to do this algebraicly, there are more steps involved

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2 years ago
Uhhhhh help…..Meh plzzzz
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Answer:

g (f (-3)) = -9

Step-by-step explanation:

Given:

Graphs of f(x) and g(x) are given

From the given graphs:

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g ( f (-3) ) = -9

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