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KonstantinChe [14]
3 years ago
8

If f(x) = -5-4 and g(x) = -3 -2 find (f-g)(x)

Mathematics
1 answer:
asambeis [7]3 years ago
5 0

<u>Answer:</u>

The correct answer option is D. -5^x+3x-2

<u>Step-by-step-explanation:</u>

We are given the following two functions:

f(x)=-5^x-4

and

g(x)= -3x-2

We are to find (f-g)(x) so we will subtract the function g from function f, arrange the like terms together and combine them like shown below to get:

(f-g)(x) =(-5^x-4)-(-3x-2)

(f-g)(x)=-5^x-4+3x+2

(f-g)(x)=-5^x+3x-2

Therefore, (f-g)(x) is equal to -5^x+3x-2 so the correct answer option is D. -5^x+3x-2.

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Is the number 110 a<br> composite number?<br> Yes<br> No
MakcuM [25]

Answer:

Yes

Step-by-step explanation:

A composite number is any number that can be divided evenly by more numbers than 1 and itself. The number 110 can be evenly divided by 1,2,5,10,11,22,55, and 110. So it is a composite.

Hope this helps

3 0
3 years ago
Plz help me ............
Effectus [21]
C=2•3.14•4
C=8•3.14
C=25.12 yd.
3 0
3 years ago
Read 2 more answers
A professor at a university wants to estimate the average number of hours of sleep students get during exam week. The professor
kotegsom [21]

Answer:

n=(\frac{1.64(6.995)}{1.939})^2 =35.003 \approx 36

So the answer for this case would be n=36 rounded up to the nearest integer

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)

\sigma =6.995 represent the population standard deviation

n represent the sample size  

Solution to the problem

Since the Confidence is 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.05, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that z_{\alpha/2}=1.64

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (a)

And on this case we have that ME =1.939 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

If we replace we have this:

n=(\frac{1.64(6.995)}{1.939})^2 =35.003 \approx 36

So the answer for this case would be n=36 rounded up to the nearest integer

4 0
4 years ago
When p2 – 4p is subtracted from p2 + p – 6, the result is 5p-6 To get p – 9, subtract
oksano4ka [1.4K]
To get p - 9, subtract p2 + 3 from p2 + p - 6.
4 0
3 years ago
Please, help me with this
Tcecarenko [31]

Answer:

Roja: calcetín azul calcetín: amarillo

5 0
3 years ago
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