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Delicious77 [7]
3 years ago
10

How do I solve this equation and check the solutions?

Mathematics
2 answers:
Ksju [112]3 years ago
6 0

Answer: x = -10 or 2

Step-by-step explanation:

Given:

√20 - 8x = x

Step 1: Square √20 - 8x

(√20 - 8x)² = (x)²

20 - 8x = x²

Now we can solve the problem

Step 2: Move 20 - 8x to the other side

20 - 8x = x²

-20 + 8x   - 20 + 8x

0 = x² + 8x - 20

This is a quadratic equation

Step 3: Factor the quadratic equation

10(-2) = -20 and 10 - 2 = 8

So our factors are 10 and -2

(x + 10)(x - 2) = 0

Step 4: Create a FOIL equation

For this equation to be true, x would have to make either one of the parenthysis equal to zero

(x + 10)(x - 2)

x = -10 x = 2

10 - 10 equals zero, and -2 + 2 equals zero, so those are your answers.

V125BC [204]3 years ago
3 0

Answer:

x=2

Step-by-step explanation:

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Find f (-4) if f(x) = 3x - 10
Diano4ka-milaya [45]

Answer:

  -22

Step-by-step explanation:

Put -4 where x is and do the arithmetic.

  f(-4) = 3(-4) -10 = -12 -10

  f(-4) = -22

3 0
3 years ago
A student got 78 marks out of a possible 120. Express the students mark as a percentage
statuscvo [17]

Answer:

65%

Step-by-step explanation:

78/120=13/20

13/20=65/100

65/100=65%

8 0
3 years ago
Read 2 more answers
Can somebody please help me
yKpoI14uk [10]
For #1 the answer would be ; "  y = - x - 4  "
( you just have to plug in the given numbers to the slope intercept form )

4 0
4 years ago
Marissa is painting her rectangular patio, with the exception of a bench that does not need to be painted: rectangle with a leng
Vesnalui [34]

The area of the rectangular patio to be painted is: B. A = (x + 20)(x + 10) - 12.

<h3>What is a Rectangle?</h3>

A rectangle, by definition, is a quadrilateral with two pairs of opposite that have the equal lengths. All four angles of a rectangle are right angles (90 degrees).

<h3>What is the Area of a Rectangle?</h3>

The area of a rectangle = (length of rectangle)(width of rectangle).

Given the following parameters for the patio and the bench:

  • Length of rectangular patio = x + 20
  • Width of rectangular patio = x + 10
  • Length of rectangular bench = 6
  • Width of rectangular bench = 2

Area to be painted = area of rectangular patio - area of rectangular bench

Area of rectangular patio = (x + 20)(x + 10)

Area of rectangular bench = (6)(2) = 12

Area to be painted = (x + 20)(x + 10) - 12

The answer is: B. A = (x + 20)(x + 10) - 12.

Learn more about the area of rectangle on:

brainly.com/question/25292087

#SPJ1

4 0
2 years ago
All of the following are equivalent except <br><br> 4 · y<br> 4 + y<br> 4y<br> (4)(y)
Alex Ar [27]

Answer:

4+y

Step-by-step explanation:

4 · y

4 + y

4y

(4)(y)


All of these are multiplication except 4+y

6 0
4 years ago
Read 2 more answers
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