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tatiyna
3 years ago
15

3.Solve for the the values of x by factoring

Mathematics
2 answers:
const2013 [10]3 years ago
5 0

Step-by-step explanation:

{x}^{2}  - 5x - 24 = 0 \\  \\

{x}^{2}  - 8 + 3x - 24 = 0 \\  \\

x(x  - 8) + 3(x - 8) = 0 \\  \\

(x + 3)(x - 8) = 0\\\\

\boxed{x =  - 3 \: or \: x = 8}

k0ka [10]3 years ago
3 0

Answer:

x = 8 ; x = -3

Step-by-step explanation:

Sum = -5

Product = - 24

Factors = 3 , (-8)

x² - 5x - 24 = 0

x² - 8x + 3x - 3 * 8 = 0

x(x - 8) + 3(x - 8)= 0

(x - 8)(x + 3) = 0

x - 8 = 0           ;  x + 3 = 0

   x = 8             ; x  = -3

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<h3>Answer:  y = (3/4)x + 13/4</h3>

This is the same as writing y = 0.75x + 3.25

slope is 3/4 = 0.75

y intercept is 13/4 = 3.25

==========================================================

Explanation:

One marked point on this line is (-3,1)

Another point is at (1,4)

Let's find the slope of the line through these two points.

m = (y2-y1)/(x2-x1)

m = (4-1)/(1-(-3))

m = (4-1)/(1+3)

m = 3/4

m = 0.75

Now let's use point slope form to find the equation of the line

y - y1 = m(x - x1)

y - 1 = 0.75(x - (-3))

y - 1 = 0.75(x + 3)

y - 1 = 0.75x + 2.25

y = 0.75x + 2.25 + 1

y = 0.75x + 3.25

If you wanted, you can convert those decimal values to fraction form

  • 0.75 = 75/100 = 3/4
  • 3.25 = 325/100 = 13/4

That means the equation

y = 0.75x + 3.25

is the same as

y = (3/4)x + 13/4

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