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3 years ago

11 more than twice a number has the same value as 8 times the difference of the number and 5

Mathematics

1 answer:

masya89 [10]3 years ago

6 0

11+2x = 8*(x-5)

11+2x = 8x-40

11+40+2x = 8x-40+40

51+2x-2x=8x-2x

51 = 6x

51/6 = 6x/6

8.5 = x

Therefore, your number is 8.5.

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Answer:

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3 years ago

You have 42 ft. of fencing (1 ft. segments) to make a rectangular garden. How much should each side be to maximize your total ar

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Answer:

$Length=10.5\ ft$

$Width=10.5\ ft$

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Step-by-step explanation:

Let

x----> the length of the rectangular garden

y---> the width of the rectangular garden

we know that

The perimeter of the rectangle is equal to

$P=2(x+y)$

we have

$P=42\ ft$

$42=2(x+y)$

simplify

$21=(x+y)$

$y=21-x$ ------> equation A

Remember that the area of rectangle is equal to

$A=xy$ ----> equation B

substitute equation A in equation B

$A=x(21-x)$

$A=21x-x^{2}$ ----> this is a vertical parabola open downward

The vertex is a maximum

The y-coordinate of the vertex is the maximum area

The x-coordinate of the vertex is the length side of the rectangle that maximize the area

using a graphing tool

The vertex is the point $(10.5,110.25)$

see the attached figure

$x=10.5\ ft$

Find the value of y

$y=21-10.5=10.5\ ft$

The garden is a square

the area is equal to

$A=(10.5)(10.5)=110.25\ ft^{2}$ ----> is equal to the y-coordinate of the vertex is correct

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3 years ago

Please help me with this one

Rasek [7]

Answer:

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y-intercept: (0,6)

y-intercept =

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