MATHEMATICS MIDDLE SCHOOL

Write y=x^2-2x-3 in vertex form

Answers

Answer 1
Answer:

Answer: y=(x-1)^2-4

Step-by-step explanation:

The vertex form of the equation of a parabola is:

y=a(x-h)^2+k

Where (h,k) is the vertex.

To obtain this form, we need to complete the square:

Move the 3 to the other side of the equation:

y+3=x^2-2x

Add this value to both sides of the equation: ((-2)/(2))^2=1

y+3+1=x^2-2x+1

y+4=x^2-2x+1

Then, rewriting:

 y+4=(x-1)^2

Finally, we must solve for "y", getting the equation of the parabola in vertex form:

 y=(x-1)^2-4
Answer 2
Answer: To solve this, use the ‘completing the square’ strategy.
Leave a space to make the first two values a perfect square.
y=(x^2-2x___)-3
Divide -2 by 2 and square that number to put in the blank. Then subtract that number from outside.
y=(x^2-2x+1)-3-1
Simplify!
y=(x-1)^2-4
It is in vertex form now ;)

Please make my brainliest ,’-)

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Elapsed time 9 3/4 hours end time 6:00 p.m. what is the start time

Answers

It will be 8:15 am because if you start at 8:15 am and you add 9 hours 45 minutes you get 18 and the 18 hours of the day its 6:00 pm

PLEASE SOMEONE HELP AND EXPLAIN THE FIRST ONE PLEASE SO THE HALF LIFE OF A RADIOACTIVE KIND OF POTASSIUM IS 12 HRS . HOW MUCH WILL BE LEFT AFTER 36 HRS, IF YOU START WITH 64 GRAMS OF IT? SO I DID A=64(1/2)^36 POWER IS THAT THE ACCURATE FORM PLEASE I NEED HELP ASAPBTW THIS IS EXPONENTIAL DECAY

Answers

Don't get carried away with the exponent.

The exponent is not the number of years or the number of hours.
The exponent is the number of half-lifes.

In this one, the half-life is 12 hours, and they want to know
how much is left after 36 hours.  36 hours is 3 half-lifes.
The formula that you did is beautiful and almost perfect.
Just change that ugly exponent to the number of half-lifes (3)
and the answer will jump out at you.
half life formula is
F=P(1/2)^(t/h)

F=furure or ending amount
P=present amount
t=time elapsed
h=time the half life is


F=64(1/2)^(36/12)
F=64(1/2)^(3)
F=64(1/8)
F=8 grams

Arush loves it when Dad reads him pop-up books. In his favorite book, there is a page with a fox waving. When the page is open to an angle of ​​ 105 degree, the fox's hand is waving to the left. When the page is opened 45
degree​
more, the fox's hand waves to the right.
What is the angle of the page when the fox's hand waves to the right?

Answers

The angle of the page when the fox's hand waves to the right is 150°

What is an angle?

"It is formed when two straight lines or rays meet at a common endpoint."

For given question,

When the page is open to an angle of ​​ 105 degree, the fox's hand is waving to the left.

When the page is opened 45 degree​ more, the fox's hand waves to the right.

We need to find he angle of the page when the fox's hand waves to the right.

The required angle would be,

105 + 45 = 150 degree

Therefore, the angle of the page when the fox's hand waves to the right is 150°

Learn more about the angle here:

brainly.com/question/4410854

#SPJ2

Answer:

150

Step-by-step explanation:

105 + 45 = 150

A company famous for its nacho-flavored corn chips has developed two new formulas, A and B, which they hope their customers will like even more than the original formula. To determine whether customers prefer one of the new formulas over the current nacho flavoring, a sample of 50 customers is obtained. Each customer tastes both formula A and formula B in a randomly assigned order and indicates which one they prefer more. Which of the following best describes this study?This study is not well designed because there is no replication. Each customer tasted the formulas only once.

A

This study is not well designed because formulas A and B are not compared with the original formula.

B

This study is not well designed because the sample may not have been randomly selected.

C

This study is not well designed because each customer should taste the two new formulas in the same order.

D

This study is not well designed because there is not enough replication with only 50 customers.

Answers

Answer:

The study is not well designed because the formulas A and B are not compared with the original formula.

Hence, option B is correct.

Step-by-step explanation:

Given information:

As the company needs to check the flavors of nachos which are newly launched and to sell a particular amount the nachos should be liked by the customers.

Now, the sample of 50 customers are taken to taste the nachos as compared  to previous one and if the sample is being liked by the customers then surely the demand will increase but the formula is not compared with the original hence the study is not well designed.

From, the above observation one can conclude that the study is not well designed because the formulas A and B are not compared with the original formula.

Hence option B is correct.

For more information visit:

brainly.com/question/24204162?referrer=searchResults

flavored nachos, so as to deliver it with proper mentioned reason.Hence,

Hence,  This study is not well designed because formulas A and B are not compared with the original formula.

Step-by-step explanation:

As mentioned above, the cmpany needs to check the new upcoming flavors of nachos i.e., A and B and is said that it should meeet the requirement of getting better from their regular ones as well. For this, the company must release the two new nachos flavors A and B, irrespective of quantity and let the customers compare it with along the regular nachos.This demands for a fact that the 50 nachos been tasted should be compared with the regular flavored nachos so as to meet the demand getting better than the usual ones. For this to happen,the above mentioned study describes it the best.

This is the correct explanation for the above question

What's.725put into a fraction

Answers

it would be 725/1000 because u are 3 spaces after the decimal

How to do this help ?

Answers

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