Four to the sixth power times four to the -8th power please explain how to do this I don't understand it

Please help...its for Delta math. will mark brainliest and I will be ur friend♥<br>

REY [17]

The exponential functions change is represented by decay and the percentage rate of decrease is 1.00619%.

Step-by-step explanation:

Step 1:

To determine if the function represents growth or decay, we substitute values to x.

If the values increase with an increase of x, it represents growth.

If the values decrease with an increase of x, it represents decay.

Step 2:

If $x= 10,$ $y = 1,300 (\frac{1}{2})^{\frac{10}{69} } = 1,300 (0.9044) = 1,175.72.$

If $x=11,$ $y = 1,300 (\frac{1}{2})^{\frac{11}{69} } = 1,300 (0.8953) = 1,163.89.$

So as x increases the value of y decreases, so it represents decay.

Step 3:

The percentage rate of change is determined by dividing the difference of two consecutive values by the first value.

The percentage rate of change $= \frac{y(x=11) - y(x=10)}{y(x=10)}.$

Substituting the values, we get

The percentage rate of change $=\frac{1,175.72-1,163.89}{1,175.72}(100) = 1.00619\%$ .

As the values of y decrease with an increase in x, it is the percent decrease per unit.

5 0

3 years ago

Read 2 more answers

Aron charges an initial service fee of 10$ plus 15$ per hour , what is X?

Marysya12 [62]

Answer:

The linear function becomes:

y = 15x + 10

Here, 'x' is the number of hours, b=10 is the initial service fee i.e. $10, 15 is slope or rate of change, and 'y' is the cost.

Step-by-step explanation:

We know that the slope-intercept of a linear function is

$y = mx+b$

where m is the slope and b is the y-intercept

Note: Slope is also termed as the 'rate of change'.

Given that Aron charges an initial service fee of 10$.

Thus, the y-intercept = b = 10

As the rate of change = 15$ per hour

so the slope = m = 15

Therefore, the linear function becomes:

$y = mx+b$

y = 15x + 10

Here, 'x' is the number of hours, b=10 is the initial service fee i.e. $10, 15 is slope or rate of change, and 'y' is the cost.

For example, in one hour i.e. x = 1, the cost 'y' will be:

y = 15x + 10

y = 15(1) + 10

y = 25 + 10

y = $25

Therefore, in one hour (x=1), the cost will be: y = $25

7 0

3 years ago

(-1)×(-2)×10=? (this is integers)

VLD [36.1K]

Answer:the first one

Step-by-step explanation:

i am teacher lol

8 0

2 years ago

Write the number ofhundreds, tens, and ones.

otez555 [7]

Answer:100 10 1

Step-by-step explanation:

4 0

3 years ago

Describe the end behavior of the function f(x)=-2x^4- x^3 +3.

Hoochie [10]

Answer:

B

Step-by-step explanation:

For a polynomial , the behaviour as x gets large is determined by the term of greatest degree,

f(x) = - 2 $x^{4}$ - x³ + 3

Is of even degree with a negative leading coefficient , then

f(x) → - ∞ as x → + ∞ and f(x) → - ∞ as x → - ∞

6 0

2 years ago