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3 years ago

How do you simplify 8 to the -2 power

1 answer:

3 0

IF you have a scientific calculator that would REALLY be handy here but if you don't then um.... I have no clue what to tell you. Sorry!!

The answer to 8 raised to the -2 power is .015625
Most likely you should round it out so it would be .016

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Please help <3!!!!!!!!!

GREYUIT [131]

Answer:

Step-by-step explanation:

the picture is extremely diffuse and out of focus.

but I think I understood the content.

first the easiest part : the straight line on the right side of the graph.

we see the y increases exactly like the x. so, x increases by 2, then y increases by 2 too.

therefore the slope is 1 (y change / x change), and the function is simply y = x

and the line only starts with x=2 and goes on for all x greater than 2.

just for that alone it can be only D, because all the other answer options violate that behavior.

and the left part of the function must confirms this.

first of all, it has to be for x < 2 (again, only D).

and I found |-x²| really funny. this is the same as simply x², as a squared number can only be positive. so, making it negative and then taking the absolute value of that result creates the same original positive number again.

and x² can't be the function, because that would be a parabola that starts at the origin (0, 0), and then curves up left and right from there.

so, this can't be our function in the graph.

again, D is the the only fitting answer.

6 0

2 years ago

E^(8x)+e^(-x) find the interval on which f is increasing

saveliy_v [14]

Assuming ya mean
$f(x)=e^{8x}+e^{-x}$
take derivitive
remember dy/dx e^x=e^x
also the chain rule

so
$f'(x)=8e^{8x}+-1e^{-x}$
find where it equals 0
$0=8e^{8x}+-e^{-x}$
$e^{-x}=8e^{8x}$
multiply both sides by e^x
$1=8e^{9x}$
divide both sides by 8
$\frac{1}{8}=e^{9x}$
take ln of both sides
$ln(\frac{1}{8})=ln(e^{9x})$
$ln(\frac{1}{8})=9x$
divide both sides by 9
$\frac{ln(\frac{1}{8})}{9}=x$

x≈-1/5
f'(-1)<0
f'(0)>0

so it is increasing from x to infinity

the interval it is increasing on is $(\frac{ln(\frac{1}{8})}{9}, \infty)$

6 0

3 years ago

On the first day, you deposit $.01 in the bank. The second day you deposit $.02. The third day,

sergiy2304 [10]

$1.2

Step-by-step explanation:

5 0

3 years ago

I need this in standard form slope intercept and point slope form.

vodomira [7]

Answer:

m= 3/4

Step-by-step explanation:

Use the slope formula to find the slope m

3 0

4 years ago

What is the reciprocal of -3/7

Yanka [14]

Hi there, the reciprocal of -3/7 is 7/3. Explanation: Okay so, reciprocal means you flip the fractions, and the opposite of negative is positive, so we flip 3/7 and make it 7/3 and take of the negative sign

3 0

3 years ago

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