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vitfil [10]
3 years ago
13

Solve for x: 3x + 3 = -2x + 13

Mathematics
1 answer:
kobusy [5.1K]3 years ago
8 0

Answer:

x=2

Step-by-step explanation:

To solve, we need to isolate the variable (x)

To do this, we must get all the variables to one side of the equation, and all the numbers to the other

3x+3= -2x+13

Add 2x to both sides to "reverse" the subtraction

5x+3=13

Subtract 3 from both sides to "reverse" the addition

5x=10

Divide both sides by 5 to "reverse" the multiplication

x=2

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The factored form of the given expressions are

y = (x -2)(x +7)

y = (x +6)(x -9)

y = (x +2)(x +6)

y = (x -5)(x -6)

y = (x +5)(x -5)

y = (x -1)(x +9)

y = (x +4)(x -4)

<h3>Factoring quadratic expressions</h3>

From the question we are to factor the given quadratic expressions

  • y = x² + 5x - 14

y = x² +7x -2x - 14

y = x(x +7) -2(x +7)

y = (x -2)(x +7)

  • y = x² -3x - 54

y = x² -9x +6x - 54

y = x(x -9) +6(x -9)

y = (x +6)(x -9)

  • y = x² +8x + 12

y = x² +6x +2x +12

y = x(x +6) +2(x +6)

y = (x +2)(x +6)

  • y = x² -11x +30

y = x² -6x -5x +30

y = x(x -6) -5(x -6)

y = (x -5)(x -6)

  • y = x² - 25

y = (x +5)(x -5)

  • y = x² + 8x - 9

y = x² +9x -x -9

y = x(x +9) -1(x +9)

y = (x -1)(x +9)

  • y = x² - 16

y = (x +4)(x -4)

Hence, the factored form of the given expressions are

y = (x -2)(x +7)

y = (x +6)(x -9)

y = (x +2)(x +6)

y = (x -5)(x -6)

y = (x +5)(x -5)

y = (x -1)(x +9)

y = (x +4)(x -4)

Learn more on Factoring quadratic expressions here: brainly.com/question/52959

#SPJ1

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Answer:

32\pi/3 cm³

Step-by-step explanation:

If the diameter is 4 cm, then the radius is 2 cm.

Use the sphere volume formula:

V = 4/3\pir³

Plug in the radius and solve:

V = 4/3\pi(2)³

V = 4/3\pi(8)

V = 32\pi/3

So, the volume of the sphere is 32\pi/3 cm³

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