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2 years ago

Y=6x+1 for x=5. what is the solution

Mathematics

2 answers:

const2013 [10]2 years ago

6 0

Answer:

Y = 31

Step-by-step explanation:

Replace x with 5

Y = (6*5) + 1

Use PEMDAS

Parentheses

Exponent

Multiplication

Division

Subtraction

Addition

6 * 5 = 30

Y = 30 + 1

30 + 1 = 31

Y = 31

I hope I helped!

Let me know if you need anything else!

~ Zoe

Tpy6a [65]2 years ago

5 0

Answer: y=31

Step-by-step explanation

If x=5 and y=6x+1, you plug in 5 for x in the equation y=6x+1.

This would cause it to be y=6(5)+1.

Then you multiply 6*5, which equals 30. thatll turn into y=30+1

30+1=31, so y=31

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2 years ago

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2 years ago

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Answer:

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Step-by-step explanation:

We have to maximize the area of the window, subject to a constraint in the perimeter of the window.

If we defined a as the bottom side, and b as the lateral side, we have the area defined as:

$A=A_r+A_c/2=a\cdot b+\dfrac{\pi r^2}{2}=ab+\dfrac{\pi}{2}\left (\dfrac{a}{2}\right)^2=ab+\dfrac{\pi a^2}{8}$

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We can express b in function of a as:

$2b+(1+\dfrac{\pi}{2})a=12\\\\\\2b=12-(1+\dfrac{\pi}{2})a\\\\\\b=6-\left(\dfrac{1}{2}+\dfrac{\pi}{4}\right)a$

Then, the area become:

$A=ab+\dfrac{\pi a^2}{8}=a(6-\left(\dfrac{1}{2}+\dfrac{\pi}{4}\right)a)+\dfrac{\pi a^2}{8}\\\\\\A=6a-\left(\dfrac{1}{2}+\dfrac{\pi}{4}\right)a^2+\dfrac{\pi a^2}{8}\\\\\\A=6a-\left(\dfrac{1}{2}+\dfrac{\pi}{4}-\dfrac{\pi}{8}\right)a^2\\\\\\A=6a-\left(\dfrac{1}{2}+\dfrac{\pi}{8}\right)a^2$

To maximize the area, we derive and equal to zero:

$\dfrac{dA}{da}=6-2\left(\dfrac{1}{2}+\dfrac{\pi}{8}\right )a=0\\\\\\6-(1-\pi/4)a=0\\\\a=\dfrac{6}{(1+\pi/4)}\approx6/1.78\approx 3.36$

Then, b is:

$b=6-\left(\dfrac{1}{2}+\dfrac{\pi}{4}\right)a\\\\\\b=6-0.393*3.36=6-1.32\\\\b=4.68$

3 0

2 years ago

Y=6x+1 for x=5. what is the solution​

Y=6x+1 for x=5. what is the solution