The vertex form of the equation of a parabola is x = (y - 4)2 + 27. What is the standard form of the equation?

A. x = y2 + 8y + 27
B. x = 4y2 - 8y + 43
C. x = y2 - 8y + 43
D. x = y2 + y + 15

Answers

Answer 1
Answer:

Answer:

Option C. x = y² - 8y + 43

Step-by-step explanation:

The vertex form of the equation of a parabola is x = (y - 4)² + 27

We have to find the standard form of the equation which is in the form of x = ay² + by + c

To get the standard form of the equation we will simplify the vertex form of the equation.

x = (y - 4)² + 27

x = y² + 16 - 8y + 27

x = y² - 8y + 43

This matches with option C. x = y² - 8y + 43

Answer 2
Answer: Since the vertex formula of an equation is x =a(x-h)^2 + k and the standard form of an equation is y = ax^2 + bx + c, the answer to the math question presented above would be letter c. x = y^2 -8y + 43. I arrived to this answer by solving (y-4)^2 and adding the equation to 27.

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What is 1/12(3a-6b)=? And why

Answers


   3a - 6b  =   3 • (a - 2b) =
a-2b/4
1/12(3a-6b)
= 1/4a-1/2b (distributive property)
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The final answer is 1/2(1/2a-b)~

What is 6*5+9=x?
PLZ HELP

Answers

Simple....this is a very easy problem!

You don't have to solve for x at all!!

Just multiply!!

6*5=30

30+9=x

39=x

To check your work..plug in x.

6*5+9=39

30+9=39

39=39

It works!!

Thus, your answer.

Hey, ANONYMOUSDT!
6*5=30
30+9=39
I hope this helps;)

Four coins are tossed several times. Which of the following represents the outcome on a coin that may not be fair? 1st coin is tossed 50 times and gives 24 heads and 26 tails.

2nd coin is tossed 250 times so that P(heads) = 0.25.

3rd coin is tossed 16 times and gives P(tails) = 9/16

4th coin is tossed 25,000 times and gives 12,505 heads.

Answers


If a fair coin is tossed a great many times, you
expect the results to be 50-50 or close to it.

First coin:  24 and 26.   48%  and  52%. 

Second coin:  25%  and  75%

Third coin:  9/16  and  7/16.  56.25%  and  43.75% .

Fourth coin:  12,505  and  12,495 .  50.02%  and  49.98% .


If I'm betting my own jellybeans, then I would not go anywhere near
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If 500 students attend Washington Middle School, how many are going to the mountians for vacation?A. 25
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D. 100
E. 125

Answers


12% of 500 people

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A bag had 3 pink marbles and 4 purple marbles find the probability of selecting 3 pink marbles without replacement

Answers

There are 7 marbles in the bag.
The probability of drawing a  pink one is (3/7) .

Then you have 1 pink one, and there are 6 marbles in the bag.
The probability of drawing a pink one is (2/6) .

Then you have 2 pink ones, and there are 5 marbles in the bag.
The probability of drawing a pink one is (1/5) .

The probability of all 3 draws being successful is

           (3/7) (2/6) (1/5)  =  6/210  =  1/35  =  about  2.86%  (rounded)

What is the answer to this ?????? 4/5 - 1/2=?????

Answers

Hello,this is your answer.