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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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Amelia wants to rearrange the furniture in her room. She makes a scale drawing of her rectangular room,
vovangra [49]

Answer:

The other side = 13 feets long

Step-by-step explanation:

Given that :

Scale of drawing : 2 inches represents 5 feets

Area of rectangular room according to scale drawing = 24.96 in²

Length of one side of the room = 12 feets

Length of other side = x

Area of rectangle = Length * width

If :

2 inches = 5 feets

x = 12 feets

x = (12 *2) / 5

x = 4.8 inches

Hence,

For the scaled drawing :

4.8 * width = 24.96

Width = 24.96 / 4.8

Width = 5.2 inches

Converting to feets according to scale:

2 inches = 5 feets

5.2 inches = x feets

x = (5.2 * 5 ) / 2

x = 13 feets

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4 0
3 years ago
Multi step equation 3x+3-x+12=x+5​
dlinn [17]

Answer:

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3 0
3 years ago
Write a standard form of a quadratic equation that has roots - 5/2 and 3.
lora16 [44]

Answer:

2x^2 - x - 15 = 0.

Step-by-step explanation:

In factor form this is

(x + 5/2)(x - 3) = 0

x^2 + 5/2x - 3x  - 15/2 = 0

x^2 - 1/2x - 15/2 = 0

Multiply through by 2:

2x^2 - x - 15 = 0.

6 0
3 years ago
Pls help this is important
Svet_ta [14]

Answer:

<h2>C is the answer </h2>

Step-by-step explanation:

<h2>5/4 is the answer</h2>

8 0
3 years ago
Read 2 more answers
511 = -7 (10x – 13)<br> steps
PilotLPTM [1.2K]

Answer: x=-6

<u>Simplify both sides of the equation</u>

<u></u>511=(-7)(10x)+(-7)(-13)(Distribute)\\511=-70x+91<u></u>

<u></u>

<u>Flip the equation</u>

<u></u>-70x+91=511<u></u>

<u></u>

<u>Subtract 91 from both sides</u>

<u></u>-70x+91-91=511-91\\-70x=420<u></u>

<u></u>

<u>Divide both sides by -70</u>

<u></u>-70x/70=420/-70\\x=-6<u></u>

3 0
3 years ago
Read 2 more answers
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