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1 year ago

Graph the function, identify if it represents exponential growth or decay, and identify domain and range. See picture

Mathematics

1 answer:

Brrunno [24]1 year ago

4 0

Answer:

a. Decay

b. 0.5

c. 4

Explanation:

If we have a function of the form

$y=ab^x$

then

a = intital amount

b = growth / decay rate factor

x = time interval

If b > 1; then the equation is modelling growth. If b < 0, then the equation is modelling decay.

Now in our case, we have

$y=4(\frac{1}{2})^x$

Here we see that

inital amount = a = 4

b = 1/ 2 < 0, meaning the function is modeling decay

decay factor = b = 1/2

Therefore, the answers are

a. Decay

b. 0.5

c. 4

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Given the circle with the diameter of 33 cm find the area of the circle

exis [7]

Answer:

51.81 cm^2

Step-by-step explanation:

Find The Half Of 33 which is 16.5

Use The Formula For Area

A= $\pi$ x r^2

A= 3.14 x 16.5

A= 51.81 cm^2

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2 years ago

If f(x)= x-3/x , g(x)=x+3 , and h(x)=2x+1 , what is (g*h*f)(x) ?

alexgriva [62]

Answer:

Option B is correct

Step-by-step explanation:

We need to find g(h(f(x))

We first find h(f(x))

f(x) = x-3/x

Putting value of f(x) in place of x in h(x)

h(x) = 2x+1

h(f(x)) = 2(x-3/x) + 1

= 2(x-3/x) + 1

= 2x -6 /x +1

= 2x-6 +x/x

= 3x-6/x

Now, putting value of h(f(x)) in g(x)

g(x) = x+3

g(h(f(x)))= (3x-6/x) + 3

= 3x-6/x + 3

= 3x-6+3x/x

= 6x-6/x

So, Option B is correct.

6 0

3 years ago

Hello can you please help me posted picture of question

vagabundo [1.1K]

We are to select 2 people to sit in first row from 6.

This is a problem of Combinations. We are find permutation of 6 people taken 2 at a time. This can be represented as 6C2.

$6C2= \frac{6!}{4!*2!} \\ \\=15$

So, the answer is option B

7 0

3 years ago

What is a factor of each term of the polynomial?. (3d2 – 10d).

finlep [7]

Answer:

$d(3d-10)$ is the factor term of given polynomial.

Step-by-step explanation:

We have been given an expression:

$3d^2-10d$

We will take the common term out of the given expression which is d

Hence, we get:

$d(3d-10)$

We have been asked the factor term of the polynomial:

Therefore, the factor term of the polynomial is: $d(3d-10)$

7 0

3 years ago

Read 2 more answers

A political candidate has asked you to conduct a poll to determine what percentage of people support her. If the candidate only

Semenov [28]

Answer:

Step-by-step explanation:

Hello!

The variable of interest is:

X: Number of people that support the candidate.

You need to calculate the sample size to estimate the population proportion of supporters given a confidence level of 99% and a margin of error of 4%

The margin of error of the confidence level for the population proportion is

d= $Z_{1-\alpha /2}$ * $\sqrt{\frac{p'(1-p')}{n} }$

From this formula you have to clear the value of n:

$\frac{d}{Z_{1-\alpha /2}}$ = $\sqrt{\frac{p'(1-p')}{n} }$

$(\frac{d}{Z_{1-\alpha /2}})^2$ = $\frac{p'(1-p')}{n}$

$n*(\frac{d}{Z_{1-\alpha /2}})^2$ = $p'(1-p')$

n= $p'(1-p') * (\frac{Z_{1-\alpha/2}}{d} )^2$

$Z_{1-\alpha/2}= Z_{0.995}= 2.586$

sample proportion "p'" since there is no sample information, nor any previous information is known, you have to consider it as the "worse case scenario" and use the value of p'= 0.50

d= 0.04

$n= p'(1-p') * (\frac{Z_{1-\alpha/2}}{d} )^2= 0.5*0.5*(\frac{2.586}{0.04} )^2= 1044.9= 1045$

She has to take a sample of 1045 people to estimate the population proportion of her supporters with a confidence level of 99% and a margin of error of 4%

I hope this helps!

4 0

3 years ago