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o-na [289]
3 years ago
7

Which expression below gives the average rate of change of the function g(x)= -x^2 -4x on the interval 6 ≤ x ≤ 8?

Mathematics
1 answer:
DiKsa [7]3 years ago
6 0
The average rate of change of a function, g(x), over an interval [a, b] is given by 

Average\ rate\ of\ change= \frac{g(b)-g(a)}{b-a}

Thus, the average rate of change of g(x)=-x^2-4x over the interval 6\leq x\leq8 is given by:

Average\ rate\ of\ change= \frac{[-(8)^2-4(8)]-[-(6)^2-4(6)]}{8-6} \\  \\ = \frac{(-64-32)-(-36-24)}{2} = \frac{-96-(-60)}{2} = \frac{-96+60}{2} = \frac{-36}{2}  \\  \\ -18
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Write the equation of line in slope-intercept form.
Galina-37 [17]

y=3x-7 that's the answer

7 0
3 years ago
The information below explains the transformations and translations of a logarithmic function. What is the equation for this fun
maks197457 [2]

The transformed function is y = 1/3(log(x/3 + 4)) + 1

<h3>How to transform the logarithmic function?</h3>

The parent logarithmic function is

y = log(x)

When shifted left by 4 units, we have:

y = log(x + 4)

When shifted up by 3 units, we have:

y = log(x + 4) + 3

When compressed vertically by 1/3, we have:

y = 1/3(log(x + 4) + 3)

This gives

y = 1/3(log(x + 4)) + 1

When stretched horizontally by 3, we have:

y = 1/3(log(x/3 + 4)) + 1

Hence, the transformed function is y = 1/3(log(x/3 + 4)) + 1

<h3>The transformation of function f(x)</h3>

We have:

f(x) = log[-(x – 5)] + 4

Set the radicand greater than 0

-(x - 5) > 0

Divide by -1

x - 5 < 0

Add 5 to both sides

x < 5 -- this represents the domain

A logarithmic function can output any real number.

So, the range is -\infty < f(x) < \infty

In the domain, we have:

x < 5

This means that the interval of decrease is -\infty < x < 5

Rewrite as an equation

x = 5 --- this represents the equation of asymptote

Read more about logarithmic functions at:

brainly.com/question/12708344

#SPJ1

6 0
1 year ago
The sound intensity of a typical vacuum cleaner is 80 dB (decibels). Sound intensity of 160 dB will burst an eardrum. How many t
NemiM [27]

Answer:

Ten thousand times as loud.

5 0
3 years ago
Read 2 more answers
Please help me answer this!!
tangare [24]

Answer:

Here,

1-4

2-3

3-1

4-2

8 0
2 years ago
I need a little help here...
lilavasa [31]
So the mean without 894 would be 52.57 
with the 894, the mean would be 157.75
idk what your options are, but there ya go
5 0
2 years ago
Read 2 more answers
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