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1 year ago

Write the following expression using an exponent: 5⋅5⋅5⋅5

Mathematics

2 answers:

Vesna [10]1 year ago

8 0

Answer:

5^4

Step-by-step explanation:

i hope this helps :)

777dan777 [17]1 year ago

3 0

Answer:

5^4

Step-by-step explanation:

exponents are the number being multiplied by itself and you can see 4 fives so it would be 5^4

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Write the equation of the line parallel to 5x + y = -2 that goes through the point (2, -3).

gladu [14]

Answer:

y = -5x + 7

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Step 1: Define

5x + y = -2

Random point (2, -3)

Step 2: Rewrite

y = -5x - 2

m = -5

Step 3: Write parallel line

y = -5x + b

-3 = -5(2) + b

-3 = -10 + b

7 = b

y = -5x + 7

8 0

2 years ago

Which statement describes the inverse of m(x) = x^2 – 17x?

DochEvi [55]

Given:

The function is

$m(x)=x^2-17x$

To find:

The inverse of the given function.

Solution:

We have,

$m(x)=x^2-17x$

Substitute m(x)=y.

$y=x^2-17x$

Interchange x and y.

$x=y^2-17y$

Add square of half of coefficient of y , i.e., $\left(\dfrac{-17}{2}\right)^2$ on both sides,

$x+\left(\dfrac{-17}{2}\right)^2=y^2-17y+\left(\dfrac{-17}{2}\right)^2$

$x+\left(\dfrac{17}{2}\right)^2=y^2-17y+\left(\dfrac{17}{2}\right)^2$

$x+\left(\dfrac{17}{2}\right)^2=\left(y-\dfrac{17}{2}\right)^2$ $[\because (a-b)^2=a^2-2ab+b^2]$

Taking square root on both sides.

$\sqrt{x+\left(\dfrac{17}{2}\right)^2}=y-\dfrac{17}{2}$

Add $\dfrac{17}{2}$ on both sides.

$\sqrt{x+\left(\dfrac{17}{2}\right)^2}+\dfrac{17}{2}=y$

Substitute $y=m^{-1}(x)$ .

$m^{-1}(x)=\sqrt{x+(\dfrac{189}{4}})+\dfrac{17}{2}$

We know that, negative term inside the root is not real number. So,

$x+\left(\dfrac{17}{2}\right)^2\geq 0$

$x\geq -\left(\dfrac{17}{2}\right)^2$

Therefore, the restricted domain is $x\geq -\left(\dfrac{17}{2}\right)^2$ and the inverse function is $m^{-1}(x)=\sqrt{x+(\dfrac{189}{4}})+\dfrac{17}{2}$ .

Hence, option D is correct.

Note: In all the options square of $\dfrac{17}{2}$ is missing in restricted domain.

7 0

2 years ago

Show your work<br><br>Show your work to back up your answer

attashe74 [19]

So it’s $15 per month so that is what you are gonna multiply by x. You start out with $75 so that’s the initial fee. 15x + 75 is your expression.

7 0

1 year ago

Grayson is deciding between two truck rental companies. Company A charges an

777dan777 [17]

GRAYSOJN FARTED AND TRHENNXSU23RF EFKL'

7 0

2 years ago

Sam has a strip of wood that is 3 4 foot long and 1 6 foot wide. He wants to use the wood to patch a damaged area on his desk. H

MArishka [77]

Answer:

1 / 8

Step-by-step explanation:

I'm assuming that is meant to be 3/4 and 1/6...

Area = Length * Width

A = 3/4 * 1/6

A = 3 / 24

simplify the fraction to get your answer

6 0

2 years ago

Read 2 more answers