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3 years ago

I need help with steps of solving this equation.

Mathematics

1 answer:

saveliy_v [14]3 years ago

6 0

Answer:

x = {-1/5, 1}

Step-by-step explanation:

(5x - 2)² - 1 = 8

Add 1 to both sides

(5x - 2)² = 9

Take the square root of both sides

5x - 2 = ±3

------------------------------

Solution I for 5x - 2 = +3

5x - 2 = 3

add 2 to both sides

5x = 5

Divide both sides by 5

x = 1

------------------------------

Solution II for 5x - 2 = -3

5x - 2 = -3

add 2 to both sides

5x = -1

Divide both sides by 5

x = -1/5

-------------------------------

x = {-1/5, 1}

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Luda [366]

Answer:

y = -x + 9

Step-by-step explanation:

✔️Find the slope using (9, 0) and (7, 2):

$slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - 0}{7 - 9} = \frac{2}{-2} = -1$

Slope (m) = -1

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The line intercepts the y-axis when y = 9. Therefore, y-intercept (b) = 9

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3 years ago

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3 years ago

In a certain clothing store, 4 shirts and 6 ties cost $70, and 2 shirts and 4 ties cost $42. What is the cost of each tie?

Oksanka [162]

Answer:

Step-by-step explanation:

Your two equations are ...

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Double the second equation and subtract the first:

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3 years ago

Simplify: 18q2−45q+25/9q2−25.

Svet_ta [14]

Answer:

$\frac{(6q-5)}{(3q+5)}$

Step-by-step explanation:

Given: $\frac{18q^{2}-45q+25 }{9q^{2}-25 }$

Factorizing the numerator and the denominator, we have:

18 $q^{2}$ - 45q + 25 = 18 $q^{2}$ - 30q - 15q + 25

= (3q - 5)(6q - 5)

and

9 $q^{2}$ - 25 = (3q - 5)(3q + 5)

So that,

$\frac{18q^{2}-45q+25 }{9q^{2}-25 }$ = $\frac{(3q-5)(6q-5)}{(3q-5)(3q+5)}$

= $\frac{(6q-5)}{(3q+5)}$

Therefore,

$\frac{18q^{2}-45q+25 }{9q^{2}-25 }$ = $\frac{(6q-5)}{(3q+5)}$

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3 years ago

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Vanyuwa [196]

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3 years ago