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DaniilM [7]
1 year ago
5

Simplifyx to the -6 power_________x to the 8 powerwrite your answer with a positive exponent only

Mathematics
1 answer:
Triss [41]1 year ago
6 0
\begin{gathered} \frac{x^{-6}}{x^8} \\ \text{using law of indicies} \\ x^{-6-8} \\ x^{-14} \\ \frac{1}{x^{14}} \end{gathered}

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10. Write the slope-intercept form of the equation of the
Ghella [55]

Answer:

y = -3x + 18

Step-by-step explanation:

The slope intercept form of a line is expressed as y = mx+c

m is the slope

b is the intercept

Get the slope

Given the equation of a line 9x + 3y = 6

Rewrite

3y = -9x + 6

y = -9x/3 + 6/3

y = -3x + 2

Hence the slope of the line is -3

Get the y-intercept

Substitute m = -3 and (5,3) into y  = mx+b

3 = -3(5) + b

3 = -15 + b

3 + 15 = b

18 = b

b = 18

Get the required equation

y = mx+b

y = -3x + 18

This gives the required equation

6 0
3 years ago
F(x) = x2 + 1 g(x) = 5 – x<br><br> (f + g)(x) =
Gnom [1K]

Answer:

(f + g)(x) =  {x}^{2} - x + 6

Step-by-step explanation:

We have

f(x) =  {x}^{2}  + 1

and

g(x) = 5 - x

We want to find (f+g)(x).

By the algebraic properties of polynomial functions,

(f + g)(x) = f(x) + g(x)

(f + g)(x) =  {x}^{2}  + 1 + 5 - x

This simplifies to

(f + g)(x) =  {x}^{2}  - x + 6

We can't simplify further, hence the simplest form

4 0
4 years ago
A rectangular garden measures 21ft by 29ft . Surrounding (and bordering) the garden is a path 3ft wide. Find the area of this pa
disa [49]
The answer is 159.  You can just add three to the measurements and then subtract the original shape.
5 0
3 years ago
Someone please help me
True [87]

Answer: 20 = right triangle 21 = acute 22 = obtuse

Step-by-step explanation:

20 - Because there is a right angle/ 90 degree angle

21 - Because all the angles are less that 90 degrees which makes them acute.

22 - Because all the angles are more than 90 which makes them obtuse.

3 0
3 years ago
Write a story problem to go with the multiplication problem 3 x 7/8 . Then, solve the problem.
velikii [3]

"In our class we have 3 books. My teacher says that we need to increase that number of books by 1/8 with each student. If they are 7 students how many books will the class have now?"

Ok there's a quick example but here is how to solve it.

You need to make the 3-fraction friendly and put a one under it

1/3 and now you can multiply 3/1 x 7/8.

Which will now give you 21/8 and simplified it will be 2 5/8

So final answer would be 21/8 = 2 5/8.

7 0
2 years ago
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