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Ivahew [28]
4 years ago
14

Evaluate and simplify

Mathematics
1 answer:
TiliK225 [7]4 years ago
4 0
First Way
5(2) + 7(3) - 3(2) + 3(3) + 4 =
10 + 21 - 6 + 9 + 4 =
31 - 6 + 9 + 4 =
25 + 9 + 4 =
34 + 4 =
38
Second Way
5r + 7s - 3(r + s) + 4 =
5r + 7s - 3r + 3s + 4 =
2r + 10s + 4 =
2(2) + 10(3) + 4 =
4 + 30 + 4 =
38
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Solve: –3x – 24 ≤ –36 what is x equal to?
Kay [80]

Answer:

X <= 4

Step-by-step explanation:

-3x - 24<= -36

Make -3x the subject, by carrying -24 to the other side

Note: Moving -24 to the other side changes to + 24

-3x <= -36 + 24

-3x <= - 12

Minus cancels minus

3x <= 12

Divide both sides by 3,to get the value of x

3x/3 <= 12/3

x <= 12/3

x <= 4

Therefore, x equals to 4

6 0
4 years ago
Read 2 more answers
The sum of four times a number and five times another number is -28. The sum of nine times the first number and two times the se
dedylja [7]

Answer:

  -8

Step-by-step explanation:

If we let x and y represent the first and second numbers, respectively, we can write the problem statement as the equations ...

  • 4x +5y = -28
  • 9x +2y = 11

We can multiply the first equation by -9 and add 4 times the second equation to get an equation in y alone:

  -9(4x +5y) +4(9x +2y) = -9(-28) +4(11)

  -37y = 296 . . . . . simplify

  296/-37 = y = -8 . . . . . divide by the coefficient of y

The second number is -8.

7 0
4 years ago
12. Factor completely: 64x^3 + 729
Dafna1 [17]

Answer:

(4 x + 9) (16 x^2 - 36 x + 81)

Step-by-step explanation:

Factor the following:

64 x^3 + 729

64 x^3 + 729 = (4 x)^3 + 9^3:

(4 x)^3 + 9^3

Factor the sum of two cubes. (4 x)^3 + 9^3 = (4 x + 9) ((4 x)^2 - (4 x) 9 + 9^2):

(4 x + 9) ((4 x)^2 - 4 9 x + 9^2)

4×9 = 36:

(4 x + 9) ((4 x)^2 - 36 x + 9^2)

Multiply each exponent in 4 x by 2:

(4 x + 9) (4^2 x^2 - 36 x + 9^2)

4^2 = 16:

(4 x + 9) (16 x^2 - 36 x + 9^2)

9^2 = 81:

Answer: (4 x + 9) (16 x^2 - 36 x + 81)

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4 years ago
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Rewrite the equation: 2x + y = 5/9x + 2 into general form (ax + by + c = 0)
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The Corectttttt Answerrrrr is C
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3 years ago
Which coordinate pair identifies a point in the third quadrant of the coordinate plane?
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It’s D ............................
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