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Evgen [1.6K]
3 years ago
8

How do I get the answer for this quadratic equation in simplest form?

Mathematics
1 answer:
konstantin123 [22]3 years ago
3 0

Answer:

x = 7 ± \sqrt{15}

Step-by-step explanation:

Given

4(x - 7)² - 48 = 12 ( add 48 to both sides )

4(x - 7)² = 60 ( divide both sides by 4 )

(x - 7)² = 15 ( take the square root of both sides )

x - 7 = ± \sqrt{15} ( add 7 to both sides )

x = 7 ± \sqrt{15}

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Solve the equation <br> -3 2/3+b = 8 1/5<br><br> B= 5 3/5<br> B= 4 4/5<br> B= 11 3/5<br> B= 11 1/5
Readme [11.4K]

Answer:

 11 13/15

Step-by-step explanation:

-3 2/3+b = 8 1/5

Add 3 2/3 to each side

-3 2/3 + 3 2/3+b = 8 1/5+ 3 2/3

b = 8 1/5 + 3 2/3

We need to get a common denominator of 15

8 1/5 = 8 3/15

3 2/3 = 3 10/15

           ----------------

             11 13/15

4 0
3 years ago
What is the solution to -7x-(-11-5x)=-4(2x-3)?<br> Thank you in advance!
VARVARA [1.3K]

Answer:

x=\frac{1}{6}

Step-by-step explanation:

If you would like an explanation, let me know.

5 0
3 years ago
Amanda, Rafael, and Michael served a total of 92 orders Monday at the school cafeteria. Rafael served 2 times as many orders as
Schach [20]

The number of orders Michael, Rafael and Amanda served are 16.8, 33.6, and 41.6 servings

respectively.

<h3>Equation</h3>

  • Michael = x
  • Rafael = 2x
  • Amanda = 2x + 8
  • Total servings = 92 orders

x + 2x + (2x + 8) = 92

3x + 2x + 8 = 92

5x = 92 - 8

5x = 84

x = 84/5

x = 16.8 servings

Therefore,

Michael = x

= 16.8 servings

Rafael = 2x

= 2(16.8)

= 33.6 servings

Amanda = 2x + 8

= 33.6 + 8

= 41.6 servings

Learn more about equation:

brainly.com/question/4344214

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5 0
2 years ago
A cube-shaped box has a volume of 1/8 of a cubic meter. What is the perimeter of each of its
belka [17]

Given:

The volume of a cube-shaped box is \dfrac{1}{8} cubic meter.

To find:

The perimeter of each of its faces.

Solution:

Let "a" be the side length of the cube shaped box. Then the volume of the box is:

V=(side)^3

V=a^3

It is given that the volume of a cube-shaped box is \dfrac{1}{8}  cubic meter.

a^3=\dfrac{1}{8}

Taking cube root on both sides, we get

a=\dfrac{1}{2}

Now, the perimeter of each face of a cube is:

P=4a

Where, a is the side length of the cube.

Putting a=\dfrac{1}{2}, we get

P=4\times \dfrac{1}{2}

P=2

Therefore, the perimeter of each face of a cube-shaped box is 2 meters.

5 0
3 years ago
Use an algebraic rule to describe a translation right 4 units and down 2 units.
Harlamova29_29 [7]
Do you have any options to pick from
4 0
3 years ago
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