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Umnica [9.8K]
2 years ago
8

X2 – 6 3x + 10 ? g(4) = Be sure to simplify your answer. g(x) =

Mathematics
1 answer:
Triss [41]2 years ago
8 0
5/11

((4)^2 - 6) / 3(4)+10
16 - 6 / 12 + 10
10/22 we can simplify this further
10 divided by 2
22 divided by 2

You get 5/11 which is the same as 10/22
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While checking the balance of your bank account, you must record a
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Answer:

Step-by-step explanation:

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7 0
3 years ago
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A farmer plans to fence a rectangular pasture adjacent to a river the pasture must contain 405,000 square meters
jeyben [28]

The dimensions of the garden that will require the least amount of fencing are 450 m and 900 m and the perimeter of the area is 1800 m.

<h3>What is the area of the rectangle?</h3>

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

Let's suppose x and y are the sides of the rectangular garden and y is the parallel to the river.

Then according to the problem:

2x + y = P ..(1)

P is the perimeter of the rectangle.

xy = 405000  (area of the rectangle)

Plug the value of y in the equation (1) from the above equation.

P(x) = 2x + 405000/x

P'(x) = x—405000/x² = 0

x = 450 m

P''(x) > 0 hence at x = 450 the value of P(x) is minimum.

y = 405000/450

y = 900 m

P(min) = 1800 m

Thus, the dimensions of the garden that will require the least amount of fencing are 450 m and 900 m and the perimeter of the area is 1800 m.

Learn more about the rectangle here:

brainly.com/question/15019502

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7 0
2 years ago
Write the trigonometric expression in terms of sine and cosine, and then simplify.
katrin2010 [14]
Hello,

tan t /(sec t -cos t)= sin t/(cos t *(1/cos t -cos t))
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3 years ago
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3 years ago
Solve the following system of equations.<br> 2x+y = 3<br> x=2y – 1<br> x=<br> y=
qaws [65]

Answer:

y=1    x=1

Step-by-step explanation:

2x + y = 3

x = 2y - 1  

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It looks like I could substitute the x=2y-1. Into 2x+y=3

2(2y-1)+y=3

4y-2+y=3

5y=5

y=1

x=2(1)-1

x=1

4 0
3 years ago
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