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3 years ago

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Mathematics

2 answers:

aleksandr82 [10.1K]3 years ago

8 0

Answer:

b = -8

Step-by-step explanation:

6b = -42

Divide by 6 on both sides

b = -8

tangare [24]3 years ago

5 0

Answer:

-7

Step-by-step explanation:

If we divide -42 and 6 we would get -7

~~~Hope this helps~~~ :)

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Jason claims that the absolute value of a nonzero number is always equal to the opposite of the number.

Ilya [14]

Answer:

See below

Step-by-step explanation:

| -5| = 5

| 5 | does not equal - 5

7 0

2 years ago

Solve each quadratic equation by completing the square. 6. x2 + 2x = 8 7. x2 - 6x = 16 8. x2 - 18x = 19 9. x2 + 3x = 3 10. x2 +

Andrei [34K]

Lets get started :)

These questions have asked us to solve by completing the square.
How do we? I have attached a picture, which will explain

6. x² + 2x = 8
→ b is the coefficient of x, which is 2
→ We take half of 2 and square it. Then, we add it to either side

x² + 2x $+ (\frac{2}{2} )^2 = 8 + ( \frac{2}{2})^2$
x² + 2x + 1 = 8 + 1
( x + 1 )( x + 1 ) = 9
( x + 1 )² = 9
$\sqrt{( x + 1 )^2} = \sqrt{9}$
x + 1 = + 3 or x + 1 = - 3
x = 2 or x = - 4

7. x² - 6x = 16

→ We do the same thing we did in the previous question

x² - 6x + $(\frac{6}{2})^2 = 16 + (\frac{6}{2})^2$
x² - 6x + 9 = 16 + 9
(x - 3)² = 25
$\sqrt{(x-3)^2} = \sqrt{25}$
x - 3 = + 5 or x - 3 = - 5
x = 8 or x = - 2

8. x² - 18x = 19

x² - 18x + $( \frac{18}{2} )^2 = 19 + ( \frac{18}{2})^2$
x² - 18x + 81 = 19 + 81
( x - 9 )( x - 9 ) = 100
( x - 9 )² = 100
$\sqrt{(x-9)^2} = \sqrt{100}$
x - 9 = + 10 or x - 9 = -10
x = 19 or x = - 1

9. x² + 3x = 3

x² + 3x + $( \frac{3}{2} )^2 = 3 + (\frac{3}{2} )$
$x^2 + 3x + \frac{9}{4} = 3 + \frac{9}{4}$
$x^{2} + 3x + \frac{9}{4} = \frac{21}{4}$
$(x^2 + \frac{3}{2} ) ( x^2 + \frac{3}{2} ) = \frac{21}{4}$
$( x^2 + \frac{3}{2} )^2 = \frac{21}{4}$
$\sqrt{ x^2 + \frac{3}{2} } = \sqrt{ \frac{21}{4} }$
x + $\frac{3}{2}$ = + $\frac{ \sqrt{21} }{2}$ or x + $\frac{3}{2} = - \frac{ \sqrt{21} }{2}$
x = $\frac{-3+ \sqrt{21} }{2}$ or x = $\frac{-3 - \sqrt{21}}{2}$

7 0

3 years ago

Maria has 37 pieces of fruit to make fruit baskets as gifts for her 5 teachers.

agasfer [191]

Answer: The answer would be C

Step-by-step explanation:

37 + 5 = 42

Each teacher needs 8 and there are 5 teachers

5 x 8 = 40

So each teacher can have 8 apples and there will be two left over

7 0

3 years ago

Jamal works as an electrician’s apprentice. He rewired 4 electrical outlets in 1 1/2 hours. If he works at the same pace for 7.5

RSB [31]

This can be solve by first solving the proportionality constant

Number electic outlets rewired is directly proportional to time spent

4 = (1 ½)a

Let be the proportionality constant

A = 8/3

O = (8/3)(7.5)

o = 20 outlets will jamal rewired if he works for 7.5 hrs

6 0

3 years ago

Read 2 more answers

Casey buys a bracket for. She pays for the bracelet and pays $0.72 in sales tax. The sales tax is 6%. What is the Original price

iren2701 [21]

Answer:

$12

Step-by-step explanation:

amount of tax = $0.72

percent of tax= 6%

Let the original cost be x

so that

6% of x= 0.72

solve for x

6/100*x= 0.72

0.06x= 0.72

divide both sides by 0.06

x= 0.72/0.06

x=$12

Hence the cost is $12

3 0

2 years ago