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jolli1 [7]
3 years ago
7

What is the simplified form of this expression? (-3x2 + 2x − 4) + (4x2 + 5x + 9)

Mathematics
2 answers:
olga2289 [7]3 years ago
3 0

Answer:

<em><u>I</u></em><em><u> </u></em><em><u>hope</u></em><em><u> </u></em><em><u>it</u></em><em><u> </u></em><em><u>helps</u></em><em><u> </u></em><em><u>you</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

olya-2409 [2.1K]3 years ago
3 0

Answer:

\large \boxed{\sf \  \  x^2 + 7x + 5 \ \ }

Step-by-step explanation:

\mathrm{\sf (-3x^2  + 2x -4) + (4x^2  + 5x + 9)}

Remove brackets.

\large{\sf -3x^2  + 2x -4 + 4x^2  + 5x + 9}

Group like terms.

\large{\sf -3x^2 + 4x^2 + 2x  + 5x + 9  -4}

Combine like terms.

\large{\sf x^2 + 7x + 5}

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3 years ago
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Jess is 12 years less than half as old as Mac. The sum of their age is 87. How old is each person?
laila [671]

Answer:

The age of each person is:

  • Jess is <u>21</u> years old.
  • Mac is <u>66</u> years old.

Step-by-step explanation:

To solve this problem you must make two equations. First, we name Jess and Mac as variables:

j = Jess age.

m = Mac age.

Now we make the equations, the first equation has the information "Jess is 12 years less than half as old as Mac":

1. j=(\frac{m}{2})-12

The second equation has the information "The sum of their age is 87":

2. j+m=87

Now, we replace the first equation in the second one:

  • (\frac{m}{2}-12) +m=87

And we operate:

  • \frac{m-24}{2} +m=87
  • \frac{m-24+2m}{2}=87
  • \frac{3m-24}{2}=87

We clear the variable m:

  • 3m-24=87*2
  • 3m=174+24
  • m=\frac{198}{2}
  • m=66

How we know Mac's age is 66 years old, we can identify Jess' age with the second equation:

  • j+m=87

We replace the value of m:

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And clear the variable j:

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In the end, Jess's age is 21 years old.

4 0
3 years ago
what is the equation of the line in point slope form that goes through (-2,-1) and is perpendicular to y=5x+3?
stich3 [128]
Point slope form is y-y1=m(x-x1)

Since we have to write the equation of a perpendicular line we will have to use the slope that is opposite and reciprocal.

y - (-1) = - \frac{1}{5} (x - (-2))
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Answer:

102

Step-by-step explanation:

Since we know that the numbers are two consecutive even numbers, we can write an equation like this where n represents the 2 numbers.

n + (n+2) = 206

Simplify the left side:

n + (n+2) = 206 -----> 2n+2 = 206

Subtract 2 from both sides:

2n = 206-2 -----> 2n = 204

Now divide 204 by 2:

n = 204/2 -----> n = 102

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Answer:

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