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4 years ago

Distributive Property Find what is x.

Mathematics

2 answers:

andreev551 [17]4 years ago

8 0

A) -9

-7(x+9)=9(x-5)-14x
-7x-63=9x-45-14x
-45 -45
-7x-18=9x-14x
+7x +7x
-18=9x+7x-14x
-18=2x
(-18)/2=(2x)/2
-9=x

Iteru [2.4K]4 years ago

6 0

-7(x + 9) = 9(x - 5) - 14x → Given
-7x - 63 = 9x - 45 - 14x → Distributive Property
-7x - 63 = -5x - 45 → Combine like terms (9x and -14x)
-12x - 63 = -45 → Addition property of equality (-7x and -5x)
-12x = 18 → Addition property of equality (Add 63 to both sides)
x = -³/₂ or -1 ¹/₂ or -1.5

Hope it helps.

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Answer:

(3, 0) and (5, 0)

Step-by-step explanation:

we have

$y=x^{2}-8x+15$

we know that

The x-intercepts are the values of x when the value of y is equal to zero

For y=0

$x^{2}-8x+15=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^{2}-8x+15=0$

$a=1\\b=-8\\c=15$

substitute in the formula

$x=\frac{-(-8)\pm\sqrt{-8^{2}-4(1)(15)}} {2(1)}$

$x=\frac{8\pm\sqrt{4}} {2}$

$x=\frac{8\pm2} {2}$

$x=\frac{8+2} {2}=5$

$x=\frac{8-2} {2}=3$

x=3, x=5

therefore

The x-intercepts are (3,0) and (5,0)

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