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aleksley [76]
3 years ago
5

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

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

<u>Solution I</u> for 5x - 2 = +3

5x - 2 = 3

add 2 to both sides

5x = 5

Divide both sides by 5

x = 1

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

<u>Solution II</u> 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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Find the equation of the line shown.
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

✔️Find the y-intercept (b):

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

✔️Substitute m = -1 and b = 9 into y = mx + b

Thus,

y = -1(x) + 9

y = -x + 9

5 0
3 years ago
A water park sold 8 child tickets and 72 adult tickets. What percentage of the tickets sold were child tickets?
Alex17521 [72]

Answer:

8%

Step-by-step explanation:

5 0
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:

  $7

Step-by-step explanation:

Your two equations are ...

  • 4s +6t = 70
  • 2s +4t = 42

Double the second equation and subtract the first:

  2(2s +4t) -(4s +6t) = 2(42) -(70)

  2t = 14 . . . . . simplify

  t = 7 . . . . . . . divide by 2

The cost of each tie is $7.

3 0
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:

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

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

and

9q^{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)}

5 0
3 years ago
A countrys people consume 6.7 billion pounds of candy per year. Express this quantity in terms of pounds per month. Note that th
Vanyuwa [196]
The answer is 2 candies per person per month

(1) Find the amount of candy consumed <span>per person per year:
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(2) Find the amount of candy consumed per person per month:
1 year has 12 months.
21.97 candy per person per year ÷ 12 = 1.83 ≈ 2 candies per person per month
8 0
3 years ago
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