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AveGali [126]
3 years ago
14

Identify intervals on which the function is increasing, decreasing, or constant. g(x) = 4 - (x - 6)2 (5 points)

Mathematics
1 answer:
leva [86]3 years ago
4 0

Answer:

g(x) is always decreasing

Step-by-step explanation:

Step 1: Distribute

g(x) = 4 - (2x - 12)

g(x) = 4 - 2x + 12

Step 2: Combine like terms

g(x) = -2x + 16

Since the line is linear and has a negative slope, it will always decrease when you input either a positive or negative x value. The output <em>y </em>will go lower.

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What is the inequality -26
lilavasa [31]
-26 is not an inequality.  It's just a number.  Maybe there was
another part of it that you forgot to copy.
3 0
2 years ago
The Wisconsin Dairy Association is interested in estimating the mean weekly consumption of milk for adults over the age of 18 in
Stolb23 [73]

Answer:

ME = 1.653 *\frac{7.9}{\sqrt{300}}= \pm 0.75

±0.75 ounce

Step-by-step explanation:

Assuming this complete question: The Wisconsin Dairy Association is interested in estimating the mean weekly consumption of milk for adults over the age of 18 in that state. To do this, they have selected a random sample of 300 people from the designated population. The following results were recorded: xbar=34.5 ounces, s=7.9 ounces Given this information, if the leaders wish to estimate the mean milk consumption with 90 percent confidence, what is the approximate margin of error in the estimate?

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=34.5 represent the sample mean

\mu population mean (variable of interest)

s=7.9 represent the sample standard deviation

n=300 represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=300-1=299

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: "=-T.INV(0.05,199)".And we see that t_{\alpha/2}=1.653

And the margin of error is given by:

ME = 1.653 *\frac{7.9}{\sqrt{300}}= \pm 0.75

±0.75 ounce

4 0
3 years ago
Read 2 more answers
Write the expression as the sine or cosine of an angle sin(pi/7) cos(x) + cos(pi/7) sin(x)
Natasha_Volkova [10]

Answer:

\sin(\frac{\pi}{7}+x)

Step-by-step explanation:

We are going to use the identity

\sin(a+b)=\sin(a)\cos(b)+\cos(a)\sin(b)

because this identities right hand side matches your expression where

a=\frac{\pi}{7} and b=x.

So we have that \sin(\frac{\pi}{7})\cos(x)+\cos(\frac{\pi}{7})\sin(x) is equal to \sin(\frac{\pi}{7}+x).

5 0
3 years ago
Please answer 5,6,7. With explanation.
Anestetic [448]
First you need to know some rules 2 numbers that are the same with coefficients divided : you differentiate those coeff
and multyplied :you sum up them

12x^8/3x^3= 4x^8-3=4x^5

20^2x=20^x*20^x

m^5*m^-7=m^5-7=m^-2







8 0
3 years ago
Which properties justify the steps taken to solve the system? {3x−4y=9 2x+8y=6 Drag the answers into the boxes to match each ste
anzhelika [568]
1.) 6x-8y=18, 2x+8y=6 → Multiplication property of equality

2.) 8x=24 → Addition property of equality

3.) x=3 → Division property of equality

4.) 3(3)-4y=9 → Substitution property of equality

5.) 9-4y=9 → Simplify

6.) -4y=0 → Subtraction property of equality 

7.) y=0 → Division property of equality
4 0
3 years ago
Read 2 more answers
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