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2 years ago

Solve each inequality

Mathematics

1 answer:

forsale [732]2 years ago

4 0

Answer:

x > -2
n ≤ -2 or n ≥ 8

Step-by-step explanation:

Add 7x-2 to both sides and collect terms.

2x +2 -6x +7x -2 > -4 -7x +7x -2

3x > -6

x > -2 . . . . . . . divide by 3

Solve these one at a time, and form the union of the answers.

1 +7n ≤ 15 . . . .given

7n ≤ 14 . . . . . . subtract 1

n ≤ 2 . . . . . . . divide by 7

-2n -2 ≤ -18 . . . given

-2n ≤ -16 . . . . . add 2

n ≥ 8 . . . . . . . . divide by -2

The solution is n ≤ -2 or n ≥ 8.

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The area of a square is given by x2, where x is the length of one side. Mary's original garden was in the shape of a square. She

Vinil7 [7]

Answer:

$128\text{ ft}^{2}$

Step-by-step explanation:

We have been given that the area of a square is given by $x^2$ , where x is the length of one side.

Mary's original garden was in the shape of a square. She has decided to double the area of her garden. So the new area of Mary's garden will be 2 times the area of original garden.

We can represent this information in an equation as:

$\text{Area of Mary's new garden}=2x^{2}$

Therefore, the expression $2x^2$ will represent the area of Mary's new garden.

To evaluate the area of new garden, if the side length of Mary's original garden was 8 feet, we will substitute x equals 8 in our expression.

$\text{Area of Mary's new garden}=2(8\text{ ft})^{2}$

$\text{Area of Mary's new garden}=2*64\text{ ft}^{2}$

$\text{Area of Mary's new garden}=128\text{ ft}^{2}$

Therefore, the area of Mary's new garden will be 128 square feet.

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3 years ago

2x+3/4(4x+16)=7 <br> I need help finding x.. I don’t know how to do these problems with fractions :(

KIM [24]

Answer:

x=-1

Step-by-step explanation:

2x+3/4(4x+16)=7

2x+(3x12)=7--->distributive property

2x+3x+12=7

5x+12=7--->addition property

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3 years ago

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Vilka [71]

Because it's a straight line

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3 years ago

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Step-by-step explanation:

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3 years ago

A factory makes 1500 cans per minute, the factory makes cans for 8 hours a day, each can is filled with 300ml of cola, how much

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1500 x 60 = the number of cans made in one hour (90,000)
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Hope this helps you out!

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3 years ago