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jeka57 [31]
3 years ago
14

Simplify the expression. 4p + 12 - 6p + 6

Mathematics
2 answers:
Elza [17]3 years ago
8 0

Answer:

-2p+18

Step-by-step explanation:

Combine like terms

Andreyy893 years ago
4 0

Answer:

p = 6

Step-by-step explanation:

Simplifying

4p = 6p + -12

Reorder the terms:

4p = -12 + 6p

Solving

4p = -12 + 6p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-6p' to each side of the equation.

4p + -6p = -12 + 6p + -6p

Combine like terms: 4p + -6p = -2p

-2p = -12 + 6p + -6p

Combine like terms: 6p + -6p = 0

-2p = -12 + 0

-2p = -12

Divide each side by '-2'.

p = 6

Simplifying

p = 6

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The function f(x) = –x2 – 4x + 5 is shown on the graph. On a coordinate plane, a parabola opens down. It goes through (negative
madam [21]

The true statement is:

"The range of the function is all real numbers less than or equal to 9."

<h3>Which statements are true?</h3>

Here we have the quadratic function:

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

And we want to see which of the given statements are true.

The first one is:

"The domain is al real numbers less than or equal to -2"

This is false, for all quadratic functions the domain is the set of all real numbers (unless the domain is defined).

The second statement is:

" The domain of the function is all real numbers less than or equal to 9."

Also false

Third one:

" The range of the function is all real numbers less than or equal to −2"

The range of a quadratic function with a negative leading coefficient will be the set of all the values smaller than the y-value of the vertex.

In this case, the quadratic function is:

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

So the vertex is at:

x = 4/(2*-1) = -2\\

Then the y-value of the vertex is:

f(-2) = -(-2)^2 - 4*(-2) + 5 = -4 + 8 + 5 = 9

So the range is the set of all real numbers less than or equal to 9.

So the above statement is false, and the final one:

"The range of the function is all real numbers less than or equal to 9."

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If you want to learn more about quadratic functions:

brainly.com/question/1214333

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2 years ago
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3 years ago
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pickupchik [31]
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4 0
4 years ago
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zepelin [54]

Answer:

360

Step-by-step explanation:

1. Set up your equation!

\frac{35}{100} = \frac{126}{x}

2. Cross multiply to solve!

100 times 126 = 12600

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3. Continue!

12600=35x

4. Divide the coefficient on both sides to get the variable by itself

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12600 divided by 35 = 360

And there’s your answer! 360

5 0
2 years ago
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