All categories

3 years ago

Solve for the unknown by using the additive inverse. Type the FULL answer in the box, without using any spaces (ex., X=5).

Mathematics

1 answer:

zavuch27 [327]3 years ago

3 0

Answer:

X=16

Step-by-step explanation:

10x-8=9x+8

First you have to simplify.

10x-9x=1x

So now the equation looks like this

x-8=8

Now you have to get x by itself

-8+8=0 and we have to do the same thing on both sides of the equal sign 8+8=16

The equation now looks like this x=16

And that's your answer

You might be interested in

Two urns each contain green balls and blue balls. urn i contains 4 green balls and 6 blue balls, and urn ii contains 6 green bal

UNO [17]

4+6+6+2=18(balls)
Another way 1)4+6=10(balls)-green and blue
2)6+2=8(balls)-green and blue
3)10+8=18(balls)-total probability

8 0

3 years ago

Read 2 more answers

What percent is equivalent to 2/5

mixas84 [53]

2/5 X 100 = 200/5= 40 percent

5 0

3 years ago

Read 2 more answers

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

3 years ago

Sophie has 3/4 quart of lemonade. if she divides the lemonade into glasses that hold 1/16 quart, how many glasses can Sophie fil

Studentka2010 [4]

I think 4 glasses because 3/4 divided by 1/16 is 48/4 because you flip the second fraction and multiply after u simplify

7 0

3 years ago

explain your process of converting a mixed number to an improper fraction.explain your process of converting a improper fraction

Sophie [7]

So I'll start with the mixed number to improper fraction.
Step one - multiply the denominator and the whole number.
Step two- take your product and add it to the numerator
Step three- the sum is the numerator of the mixed number and the original denominator is the denominator
___________________________
Now for improper fraction to mixed number
Step one- see how many times the denominator goes into the numerator (ex. 2 goes into 9, 4 times With one left over)
Step two -the 4 becomes the whole number and the 1 the numerator
Step three- use the same denominator

5 0

4 years ago