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2 years ago

Simplify:(- 17)^8÷(-17)^2

Mathematics

1 answer:

lidiya [134]2 years ago

8 0

The simplified answer is $-17^6\\$

If you are dividing powers with like terms you subtract the denominator to the numerator.

$\frac{-17^8}{-17^2} = -17^6$

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6. Let f and g be differentiable functions

Julli [10]

Answer:

(b) 1

Step-by-step explanation:

To differentiate $h(x)=f(x)g(x)$ we will need the product rule:

$h'(x)=f'(x)g(x)+f(x)g'(x)$ .

We have $h'(x)=f(x)g'(x)$ , so the following equation is true by the transitive property:

$f'(x)g(x)+f(x)g'(x)=f(x)g'(x)$

By subtraction property we have:

$f'(x)g(x)=0$

Since $g(x) \neq 0$ , then we can divide both sides by $g(x)$ :

$f'(x)=\frac{0}{g(x)}$

$f'(x)=0$

This implies $f(x)$ is constant.

So we have that $f(x)=c$ where $c$ is a real number.

Since $f(0)=1$ and $f(0)=c$ , then by transitive property $1=c$ .

So $f(x)=1$ .

Checking:

$h(x)=1 \cdot g(x)$

$h'(x)=g'(x)=1 \cdot g'(x)$

So the following conditions were met.

5 0

2 years ago

The revenue from selling x shirts is r(x) = 11x. The cost of buying x shirts is c(x) = 6x + 20. The profit from selling x shirts

oee [108]

Answer: option A is the correct answer.

Step-by-step explanation:

The expression that relates revenue, profit and cost is

Profit = Revenue - Cost

The revenue from selling x shirts is r(x) = 11x. The cost of buying x shirts is c(x) = 6x + 20. Therefore,

p(x) = r(x) - c(x)

p(x) = 11x - (6x + 20)

By expanding the bracket, the minus sign will alter each term in the bracket. Therefore,

p(x) = 11x - 6x - 20

p(x) = 5x - 20

8 0

2 years ago

The volume of the rectangular prism is _____ cubic units

Ipatiy [6.2K]

Answer:

V=L*W*H

V=12*4*3

V=144

144 is your answer :)

Step-by-step explanation:

hope this helps

8 0

2 years ago

The answer ............

suter [353]

Answer:

f^-1(x) = ( x + 6 )/4

Step-by-step explanation:

f(x) is the same as...y = 4x + 6....and then try to make x the subject of formula

y + 6 = 4x

x = (y + 6)/4....then when writing f^-1(x)...replace y with x

f^-1(x) = ( x + 6 )/4

3 0

2 years ago

Tom went on a bike ride to the store 3 miles away. If it took Tom 12 of an hour to get there and 23 of an hour to get back, what

anzhelika [568]

Answer: 0.1714 miles / hour

Step-by-step explanation:

Given the following :

Distance to the store = 3 miles

Time taken to get to store = 12 hours

Time taken to return = 23 hours

The average rate of speed for the trip =?

Average Speed = total distance traveled / total time taken

Total distance traveled = 2 × 3 miles = 6 miles

Total time taken = 12 + 23 = 35 hours

Average speed = 6 miles / 35 hours

Average speed = 0.1714 miles / hour

3 0

2 years ago