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serious [3.7K]
3 years ago
9

Three times a number minus 9 is equal to two times the number plus 7

Mathematics
2 answers:
maxonik [38]3 years ago
8 0

Answer:

n=16

Step-by-step explanation:

Make an equation

Three times a number minus 9–> 3n-9

Times means multiply, and minus means subtract

Equals two times the number plus 7–> =2n+7

Times means multiply, and plus means add

3n-9=2n+7

Solve for n, by getting n by itself

Subtract 2n from both sides

3n-2n-9=2n-2n+7

n-9=7

Add 9 to both sides

n-9+9=7+9

n=16

sergij07 [2.7K]3 years ago
7 0

Answer:16

Step-by-step explanation:

After writing it out, the equation should be 3n-9=2n+7. Put the variables on one side and the numbers on the other so it should look like 3n-2n=7+9 and the answer is n=16

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Given f (x) = x2 + 4x + 5, what is f of the quantity 2 plus h end quantity minus f of 2 all over h equal to?
meriva

By evaluating the quadratic function, we will see that the differential quotient is:

\frac{f(2 + h) - f(2)}{h} = 8 + h

<h3>How to get (f(2 + h) - f(2))/h?</h3>

Here we have the quadratic function:

f(x) = x^2 + 4x + 5

Evaluating the quadratic equation we get:

\frac{f(2 + h) - f(2)}{h}

So we need to replace the x-variable by "2 + h" and "2" respectively.

Replacing the function in the differential quotient:

\frac{(2 + h)^2 + 4*(2 + h) + 5 - (2)^2 - 4*2 - 5}{h} \\\\\frac{4 + 2*2h + h^2 + 8 + 4h  - 4 - 8 }{h} \\\\\frac{ 2*2h + h^2  + 4h   }{h} = \frac{8h + h^2}{h}

If we simplify that last fraction, we get:

\frac{8h + h^2}{h} = 8 + h

The third option is the correct one, the differential quotient is equal to 8 + 4.

If you want to learn more about quadratic functions:

brainly.com/question/1214333

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8 0
2 years ago
Vertical angles are supplementary, true or false?
beks73 [17]

Answer:

False

Step-by-step explanation:

Vertical angles are a pair of opposite angles created by intersecting lines. The Vertical Angles Theorem states that if two angles are vertical, then they are congruent.

4 0
3 years ago
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Answer:

<h2>1 < x < 6 ⇒ x ∈ (1, 6)</h2>

Step-by-step explanation:

3x - 8  > -5              <em>add 8 to both sides</em>

3x > 3        <em>divide both sides by 3</em>

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2x < 12          <em>divide both sides by 2</em>

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From x > 1 and x < 6 we have the solution 1 < x < 6 ⇒ x ∈ (1, 6)

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3 years ago
Catherine is a sixth grader at her school. The sixth graders are collecting food items to donate to the local shelter. Their goa
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y=mx+b

512=114x+134

subtract 134 from both sides of the equation,

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