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vlabodo [156]
3 years ago
6

The difference of twice a number and 3 is at most -21

Mathematics
1 answer:
Dmitrij [34]3 years ago
6 0

Answer:

The equation: 2<em>n</em> - 3 ≤ -21

The answer to the equation: <em>n</em> ≤ 9

Step-by-step explanation:

How to get the equation:

<u>The difference of</u> symbolizes subtraction. Because we are subtracting twice a number and 3, the first part of the equation can be written as 2<em>n</em> - 3. The <em>n</em> symbolizes the number.

<u>is at most</u> symbolizes a less than or equal to sign. That sign is ≤. And what is it less than or equal to? -21.

Now are equation is 2<em>n</em> - 3 ≤ -21

How to solve it:

2<em>n</em> - 3 ≤ -21

Add 3 to both sides of the equation

2<em>n</em> ≤ 18

Divide both sides of the equation by 2

<em>n</em> ≤ 9

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When a sprinkler is installed in the ground, the spray of water goes up and falls in the pattern of a parabola. The height, in i
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Answer:

96feet

Step-by-step explanation:

Given the height, in inches, of a spray of water is given by the equation ℎ(x)=160−16x^2

x is the number of feet away from the sprinkler head the spray

To get the height of the spray 2 feet away from the sprinkler head, we will simply substitute x =2 into the function and et the height h as shown;

From the equation

ℎ(x)=160−16x^2

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8 0
3 years ago
I need to know the answer please…
Triss [41]
Answer is a= 51/7 or 7 2/7

Step by step

-2/3 (a + 3) = 5/3a - 19

Distribute to resolve parentheses

-2/3a -2 = 5/3a - 19

Now to move variables to one side
Add 2/3a to both sides

-2/3a + 2/3a -2 = 5/3a + 2/3a -19

Combine like terms

-2 = 7/3a -19

Add 19 to both sides to isolate variable

-2 +19 = 7/3a -19 + 19

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Divide both sides by 7/3 to solve for a
(Remember when you divide a fraction, flip it and multiply.)

17 * 3/7 = a

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Picture attached shows steps in order, I think that is what you also needed?

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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given data

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