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liberstina [14]
3 years ago
9

Write your answer using only positive exponents. (-2x^6y^-2)^3

Mathematics
1 answer:
Alinara [238K]3 years ago
6 0

Firstly, the rule with raising a power by a power is to multiply the two powers. In our case, it'll look like this:

(-2x^6y^{-2})^3\\ (-2)^3x^{6*3}y^{-2*3}\\ -8x^{18}y^{-6}

Now the rule from negative exponents to fractions is x^{-m}=\frac{1}{x^m} . Applying this to y^-6, your final answer is going to be \frac{-8x^{18}}{y^{6}}

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F(x)=x^3−9x
klio [65]
i don’t know but you could prob use photo math. that would hell
3 0
3 years ago
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Please help out need it​
juin [17]

Answer:

at the answer is about 5.29

Step-by-step explanation:

to do this u need the pythagorean theorem.

a squared+ b squared=c squared

we have the a and c values so what u would do is c squared- a squared. (8 squared - 6 squared = b squared.

8 0
3 years ago
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Find the slope of the line passing through each of the following pairs of points and draw the graph of the line.
tiny-mole [99]

Answer:

The slope is 1/2

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Gary just started a new job as a nurse. he is given a starting salary of $58,550 per year. he is also told that his salary will
IRINA_888 [86]

Firts we need to find the rate of change, or in other words, the slope of the line.

Question 1:

a)

For this we can take two points in the form (years, salary). Then we can define as year 0 the year when Gary starts to work. In this year the salary is $58,550. The first point is (0, $58,550)

The next point we can take is at the year 10, when the salary of Gary will be $71,950. The second point is (10, $71,950)

b) Now that we have the two points, we can use the slope formula to get the rate of change. The slope formula is, for two points A and B:

\begin{gathered} \begin{cases}A(x_a,y_a) \\ B(x_b,y_b)\end{cases} \\ m=\frac{y_a-y_b}{x_a-x_b} \end{gathered}

In this case, we can call the points A(0, $58,550) and B(10, $71,950). Using the formula:

m=\frac{58,550-71,950}{0-10}=\frac{-13400}{-10}=1340

c) "The rate of change in Gary's salary is $1340 per year."

Question 2:

a) The slope intercept form of a line is:

y-y_1=m(x_{}-x_1)

Where:

y is the output of the function.

x is the input of the function. (we provide the function with a value for x and the function give us a value of y)

m is the slope of the line. We calculate it in question 1.

x1 is the x coordinate of a point we choose.

y1 is the y-coordinate of the same point of x1.

In this case, we know:

m = 1340;

And we can take the point (0, $58,550), thus:

x1 = 0

y1 = 58,550

b) Now we need to use all this values and use the slope-intercept form:

y-58,550=1340(x-0)

And solve to get:

y=1340x+58,550

Question 3:

a) Now we have a equation for the salary, we can use this to find the salary in 13 years. We just need to replace x = 13 in the equation:

\begin{gathered} \begin{cases}y=1340x+58,550 \\ x=13\end{cases} \\ y=1340\cdot13+58,550 \\ y=75,970 \end{gathered}

B) The salary of Gary in 13 years will be $75,970.

6 0
1 year ago
What number do you divide by 12 to get 9
finlep [7]

Well I don't know.  Let's figure it out together.

You said (a number) divided by 12 gives you 9 .

A fraction is the easiest way to show division, so
you can write this equation:

               (number) / 12  =  9

Now you can multiply each side of the equation by  12 .
When you do that, you have ...

                 number   =   9 x 12

                 <em>number   =    108</em> .

Now you know how to find it.  That's even better than just
having the answer.


5 0
3 years ago
Read 2 more answers
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