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Zepler [3.9K]
3 years ago
6

Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an (x , y) point

Mathematics
2 answers:
cluponka [151]3 years ago
7 0
(4,-7)

Do it by making factors of x by using middle term splitting method. You can learn about this method by watching you tube video . Then find out the y.
vlabodo [156]3 years ago
3 0
The vertex to y=x^2+8x-23 is (4,-7)
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Suppose that at a state college, a random sample of 41 students is drawn, and each of the 41 students in the sample is asked to
ra1l [238]

Answer:

The  confidence interval for 90% confidence would be narrower than the 95% confidence

Step-by-step explanation:

From the question we are told that

  The  sample size is n = 41

   

For a 95% confidence the level of significance is  \alpha  = [100 - 95]\% =  0.05 and

the critical value  of  \frac{\alpha }{2}  is   Z_{\frac{\alpha }{2} } =Z_{\frac{0.05 }{2} }=  1.96

For a 90% confidence the level of significance is  \alpha  = [100 - 90]\% =  0.10 and

the critical value  of  \frac{\alpha }{2}  is   Z_{\frac{\alpha }{2} } =Z_{\frac{0.10 }{2} }=  1.645

So we see with decreasing confidence level the critical value  decrease

Now the margin of error is mathematically represented as

         E =  Z_{\frac{\alpha }{2} } *  \frac{s}{\sqrt{n} }

given that other values are constant and only Z_{\frac{\alpha }{2} } is varying we have that

         E\ \  \alpha \ \   Z_{\frac{\alpha }{2} }

Hence for  reducing confidence level the margin of error will be reducing

  The  confidence interval is mathematically represented as

        \= x  - E  <  \mu <  \= x  + E

Now looking at the above formula and information that we have deduced so far we can infer that as the confidence level reduces , the critical value  reduces, the margin of error  reduces and the confidence interval becomes narrower

3 0
2 years ago
Marriane can say hello in more than 7 languages. Which number line could represent this situation?
Alina [70]

Answer:

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Step-by-step explanation:

Since it's more than, the inequality would be >

Since it's >, that means it's an open circle

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x > 7

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what lines..? post picture.

Step-by-step explanation:

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gladu [14]

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Step-by-step explanation:

8 0
3 years ago
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I need help with writing the equation​
cricket20 [7]

Answer:

y=-1/8y+1

Step-by-step explanation:

flip the equation, then add -8 to both sides to cancel out the +8 on the left, then divide sides by -8Let's solve for x.

y=−8x+8

Step 1: Flip the equation.

−8x+8=y

Step 2: Add -8 to both sides.

−8x+8+−8=y+−8

−8x=y−8

Step 3: Divide both sides by -8.

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