5. Rewrite the quadratic funtion from standard form to vertex form.
Ax) = 2x2 + 8x + 70

Answers

Answer 1

Answer:

[tex]y = 2 {(x + 2)}^{2} + 62[/tex]

Step-by-step explanation:

vertex form is

[tex]y = a {(x - h)}^{2} + k \\ where \: (h. \: k) \: is \: the \: vertex[/tex]

our original equation

[tex]2 {x}^{2} + 8x + 70[/tex]

first we will find the x value using the formula

[tex]x = - \frac{b}{2a} \\ - \frac{8}{2(2)} = - \frac{8}{4} = - 2 \\ x = - 2 = h[/tex]

plug the value of x back into the original equation to solve for y

[tex]y = 2 {x}^{2} + 8x + 70 \\ y = 2 ({ - 2}^{2} ) + 8( - 2) + 70 \\ y = 2(4) - 16 + 70 \\ y = 8 - 16 + 70 \\ y = 78 - 16 \\ y = 62 = k[/tex]

substitute this back into our vertex form and not forgetting the coefficient a = 2

[tex]y = 2 {(x - ( -2))}^{2} + 62 \\ y = 2 {(x + 2)}^{2} + 62[/tex]


Related Questions

a. Draw a scaled copy of Polygon A with scale factor 1/2. b. Draw a scaled copy of Polygon B with scale factor 2. c. Draw a scaled factor of Polygon C with scale factor 1/4.

Answers

Draw a c with a scale factor 1/4

OA.
Simplify the expression -3: (-3)
.
-7
-1
Oc. 1
OD. 71 격
CIH NIH
O B.
O .

Answers

Answer:

I hope I help you with your Q

THANKS GIVE MY LIKE

What do you call raising a base to the exponent 2?

Answers

Answer:

When exponents are raised to another exponent, the exponents are multiplied. (a m) n = a (m × n) EX: (2 2) 4 = 4 4 = 256 (2 2) 4 = 2 (2 × 4) = 2 8 = 256

Step-by-step explanation:

Look at this graph:
АУ
100
90
80
70
60
50
40
30
20
10
0
10 20 30
40 50 60
70
80 90 100
What is the slope?

Answers

Answer:

The slope is 4 or 4/1.

Step-by-step explanation:

Since these are all in numbers evenly divisible by 10, we can go ahead and make this easier by dividing everything by 10. When we do this, we can see a point crossing an intersection at (3,1), or if you left it, (30, 10). Next, we can see another point crossing another intersection at (4,5) or (40, 50). Since we have two points that are easy for us to subtract, we can use the slope formula. The formula is as follows: y2-y1 / x2-x1. We can pick which of these we want to be 1 or 2, but whichever one we pick has to be 1 or two on both the top on the bottom. for example, I did (50-10) / (40-30). That gets us 40/10. If you divided by ten in the first place, you would get 4/1. From there, if you have the bigger answer, you need to simplify to simply 4. The shorter answer doesn't need to be simplified because we already simplified. I hope this helps!

Evaluate the expression: 12.6(2 – 3) + 26 - 4
A. – 4.6
B. 3.4
C. 21.55
D. 12.85

Answers

Answer:

The answer so simplyfjdjdnxkxndndjxjfnfngkdjsjajajjdjfj the answer is D

Answer:

hi robertlyonsdamron the answer will be B

Step-by-step explanation:

You can use the order of operations to evaluate the expression. Perform the subtraction inside the parentheses: two minus three equals negative one. Evaluate the exponents: two to the sixth power is sixty-four. Multiply and divide in order from left to right: Twelve point six times negative one equals negative twelve point six, and sixty-four divided by four is sixteen. Add and subtract in order from left to right: Negative twelve point six plus sixteen equals three point four.

someone please help. Giving brainliest!!

Answers

Answer:

A. None of these

Step-by-step explanation:

The largest perfect square under 100 would actually be 81 (9 x 9)

90 and 99 are not perfect squares and 64 is smaller than 81.

Answer:

a. none of these

Step-by-step explanation:

10 * 10 = 100, so 100 is a perfect square.

The next smaller perfect square is 9 * 9 = 81, but 81 is not in the choices.

Answer: a. none of these

How do I find an overall grade?

My scores are:

27.92 out of 30
19.25 out of 17.5
21.88 out of 17.5
11.55 out of 17.5
13.65 out of 17.5

The two scores I got bonus questions right that's why I scored above.

Can you please explain how to get the answer so I can know how to solve!

I have 6 tests left is it still possible to get an A in this class?​

Answers

you would divide them so 27.92/30 is would be a 93 and so on. you would have around an 88 which is a B+ so i’m sure if you do good on the other assignments you’ll get a high A

how do you solve 4x+1=9+4y

Answers

Answer:

x-y = 2

Step-by-step explanation:

I think it the right answer

This is my 2 time posting please answer
Fernando opened a pizza box. Inside there was 3/4 of a pizza. He ate 1/3 of what was remaining. How much of a pizza did he eat? Fernando opened a pizza box. Inside there was 3/4 of a pizza. He ate 1/3 of what was remaining. How much of a pizza did he eat? Please include a sentence explaining your reasoning.

Answers

Answer:

He ate 1/4 of a pizza.

Step-by-step explanation:

1/3 basically means: There are 3 parts, you take 1 of those parts

so 3/4 means that there are three fourths. 3/4 divided by 3 = 1/4. He ate 1/4 of a pizza.

Help please due in like seven minutes!!!

Answers

the answer is simply B. the slop is going down and it’s negative so it would be negative slope .

The correct answer is B/the second option.

The reason is that you can find slope by doing y2-y1/x2-x1, however x1 was put before x2 and therefore the slope was wrong. Good luck !! :)

I really need help. PLEASE

Answers

Answer:

Question 1: 2 Question 2: 1/3 Question 3: -3

Step-by-step explanation:

rise over run :)

Select all of the points which satisfy the linear inequality below.

-2x + 3y > 4

Answers

Answer:

x  <  − 2 +  3 y/ 2 linear inequality for x

y > 4/3 + 2x/3 linear inequality for y

Step-by-step explanation:

The point which satisfies the linear inequality is (-1,5) so option (C) is correct.

What is inequality?

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.

As per the given inequality,

-2x + 3y > 4

Put (-1,5) into the above inequality,

-2(-1) + 3(5) > 4

2 + 15 > 4

17 > 4 (True) thus  (-1,5) will satisfy the inequality.

The rest points are not satisfying the inequality.

Hence " The point which satisfies the linear inequality is (-1,5)".

For more about inequality,

brainly.com/question/20383699

#SPJ2

The complete question is attached below,

brainliest to first correct answer.

Which product is modeled by the number line below?

(negative 3) (4)

(negative 2) (4)

(2) (4)

(3) (4)

Answers

Answer:

(negative 2) (4)

Step-by-step explanation:

Because a single step is ( negative 2)

And it's repeated 4 times

Answer:

The product that is modeled below is ( -2 ) * ( 4 ).

Step-by-step explanation:

Hope this helps!

Find the unit rate:
150 words read in 8 minutes

Answers

Step-by-step explanation:

the unit rate: 150/8 × 60 minutes =

1,125 words/hour

Answer:

18,75 word read/minutes

or :

1,125 word read/hour

Step-by-step explanation:

The unit rate :

= 150 words read : 8 minutes

= 150/1 words read : 8/1 minutes

= 150/1 × 1/8 word read/minutes

= 150/8 word read/minutes

= 18 6/8 word read/minutes

= 18 3/4 word read/minutes

= 18,75 word read/minutes

= 1,125 word read/hour


PLEASE HELP MEEE ASAP

Answers

Step-by-step explanation:

first of all, g(x) has only negative functional result values (y) except for 0.

and a square is always positive.

so, the only possible right answers are the ones that include a minus ("-") sign.

the graph shows us that g(x) goes through the points (1, -3) and (-1, -3).

so, which equation turns an x = 1 into an y = -3 ?

therefore, the right answer must be D.

g(x) = -3x²

it works for both points :

-3 = -3×1² = -3 correct

-3 = -3×(-1)² = -3×1 = -3 correct

x + 3 + -3 = -6 please help me on this

Answers

Answer:-6

Step-by-step explanation:

X=-6

3 and -3 cancel out.

Answer:

-6

Step-by-step explanation:

The positives and negatives added cancel eachother out.

-6+3=-3

-3+-3=-6

For BRAINILY please help

Answers

Answer:

z=55 degree

Step-by-step explanation:

because the sides are equal let say the numbers x

2x+70=180

2x=180-70

2x=110

x=55

branlist please

250000 divided by 100

Answers

Answer:

250,000÷100 is equal to 2,500

Answer:

2500 is the answer

hope it helps u

mark as brainlist

A recipe calls for 2 cups vegetable oil for every 3 cups of water. If 4.5 cups of water are added, how many cups of vegetable oil must be added to the recipe?
1.5 cups 3 cups
7 cups 8.5 cups

Answers

Answer:

the answer to your question is 6.75 cups of oil will be added

use the distibutive property to find the product 1/5 x 5 10/11​

Answers

Answer:

1/2/11

Step-by-step explanation:

1/5×5/10/11=1/5×65/11

=13/11

=1/2/11

HEEEEEEEEEEELLLLLLPPPPP!!!!!!!! what is ivory ​

Answers

Answer:

Ivory is a hard, white material from the tusks and teeth of animals, that consists mainly of dentine, one of the physical structures of teeth and tusks. The chemical structure of the teeth and tusks of mammals is the same, regardless of the species of origin.

Step-by-step explanation:

.

Graph each function for the given domain.

3x - y = 1 D(-3,-1,0,4)

Answers

Answer:

the following ordered pairs are your coordinates: (-3,-10), (-1, -4), (0,-1), (4,11)

Step-by-step explanation:

We can find these algebraically. First, you need to put your equation into the form y=mx+b. The m is the slope and the b is your y intercept. Once we have that equation, we just plug in the given X values to find their Y counterparts. The domain is simply the X coordinate and the range is the Y. I hope this helps!

Samirs bedroom has an area of 48 square feet.

The bedroom is 8 times as many square feet as Samir’s closet. If the closet is 3 feet wide, what is the length of the closet?

Answers

Answer: 2 feet

Step-by-step explanation:

Which organism has an exoskeleton
crab
tree
deer
elephant
PLS HURRY!!!!

Answers

a crab has a exoskeleton

crabs have exoskeletons instead of endoskeletons

Evaluate the expression for k = –1.

–14k =

Answers

Solution:Given, k = -1Therefore, -14 k= -14 (-1)= 14Answer:

14

Manny is always looking for coins lost on the playground. He has a collection of 72 coins, all nickels and dimes, totaling $6.20. What is the total amount of money he has found in dimes?

Answers

Answer:

The answer is ”62” Beacause you just divide 620 by 10

Step-by-step explanation:

If you like this answer please give brainleist and rating! Hope this helps!^_^

x is directly proportional to y. When y = 7, x = 28. Write and equation of x in terms of y. Find x when y = 15.

Answers

Answer:

60

Step-by-step explanation:

28 : 7 : : x : 15

28 / 7 = x / 15

4 = x / 15

x = 4 * 15

x = 60

x = ky— directly proportional

28 = 7k

4 = k

so x = 4y

plug in y and you get x = 4(15) = 60

Therefore, x = 60 when y = 15

Bernard's Ice Creamery sold 50 sundaes last week. There were nuts on 29 of the sundaes. What is the ratio of the number of sundaes without nuts to the number of sundaes with nuts?

Answers

Answer:

'its a remix and im comin wih dat bow bow bow'

Step-by-step explanation:

Find the values of x and y. The diagram is not to scale.
1 point
50
(x-2
(y-1)
66
X=65, y=68
X=68, y=65
X=50, y=68
X=66, y=70

Answers

X-2 and 66 are corresponding angles
Therefore x-2=66
X=68
And only one option has x=68
The second option is the correct answer

i need help, can someone show me how to solve it

Answers

Answer:

9

Step-by-step explanation:

Simply plug -3 in for x.

-2(-3)^2-7(-3)+6

(-3)^2=9

9*-2= -18

-7*-3=21

-18+21=3

3+6=9

Answer:

f(-3) = 9

Step-by-step explanation:

Here we have a quadratic function in x:  and we want to know the value of this function when x = -3.

Substituting -3 for x in f(x) = -2x^2 - 7x + 6, we get f(-3) = -2(-3)^2 - 7(-3) + 6, which works out to                                                    f(-3) = -2(9) + 21 + 6, or

                                                                                    f(-3) = -18 + 27 = 9

Thus, f(-3) = 9

Other Questions
When works are in their last 20 years of copyright protection, libraries and nonprofits can use them as if they were in the public domain.A. TrueB. False Write an equation then solve It costs $4 to enter the fair. Each ride cost $2.50 You have $21.50 How many rides can you go on every business has the same code of ethics? T or F QuestionFind an equation for the line passing through (2, -1) with a slope of 5/2 7. Characterization is a. a literary device in which a writer compares or contrasts two people, places, or ideasb. the process by which the writer reveals the personality of the characterc. a literary device used in literature to highlight and explain details about the settingd. a literary element in which an idea or a thing is compared to another thing 19. A leaf is detached from a tree and tested with iodine. The leaf turns dark blue. (a) What does this result tell you? why is the results not sufficient to confirm photosynthesis took place Based on the description, can you identify the rock type?MetamorphicIntrusive IgneousExtrusive IgneousSedimentary Difine Cyber Crime ... Which reaction is not caused by releasing epinephrine?A. muscles loosen upB. heart beats fasterC. speeds up breathingD. muscles tense up Solve for x!!!!!!! Plzzzz do nfl players get charged for giving away footballs what is the best way to minimize the risk of drowning while boating write the equaion of a line in slope-intercept form if the slope is 1/5 and the y-intercept is -9 explain please Does anyone know this? What is a mutator method? Explain why mutator methods usually return the value None. Choose the word whose underlined part is pronounced differently from that of the other words.1. A. hand B. bank C. sand D. band2. A. money B. month C. monkey D. monitor3. A. change B. hungry C. stronger D. singleChoose the word that has different stress pattern from that of the other words.4. A. experience B. embarrass C. floppy D. embrace5. A. idol B. video C. birthday D. imagine6. A. cotton B. happen C. extreme D. quicklyChoose the best answer to complete each sentence.7. A person or thing that is loved and admired very much is the _________. A. ideal B. idea C. idol D. fan8. A short part of a film or movie that is shown separately is called a _________. A. picture B. clip C. news D. cartoon9. She _________shyly at him and then lowered her eyes. A. looked B. stared C. glanced D. sighted10. This _________girl was disliked by the rest of the class. A. helpful B. sneaky C. unselfish D. generous11. He pulled a(n) _________of 10 pounds notes out of his pocket. A. sum B. amount C. piece D. wad12. Ive never fallen in such a(n) _________situation before. A. embarrassed B. embarrassing C. confused D. confusing13. The children were _________about opening their presents. A. interested B. fond C. keen D. excited14. I know from _________that hell arrive late. A. knowledge B. experience C. understanding D. reality15. Andrew _________the test before so he_________it very easy. A. did/ had found B. had done/ found C. was doing/ found D. did/ was founding16. You _________your new hat when I _________you yesterday. A. were wearing/ had met B. wore/ had met C. wore/ was meeting D. were wearing/ met17. As I _________the glass, it suddenly _________into two pieces. A. cut/ broke B. was cutting/ broke C. cut/ was breaking D. was cutting/ had broken18. A burglar _________into the house while we _________television. A. broke/were watching B. broke/ watched C. had broken/ watched D. broke/ had watched19. When I _________home, I _________a phone call. A. got/ received B. was getting/was receiving C. got/ had received D. had got/ had received20. They _________small cups of coffee after they _________dinner. A. had drunk/ finished B. drank/ finished C. were drinking/ finished D. drank/ had finished21. It was midnight. Outside it _________very hard. A. rains B. rained C. had rained D. was raining 22. When he _________at the station, his train already_________. A. arrived/ left B. arrived/ had left C. had arrived/ left D. had arrived/ left 7. A gold bar has a volume of 4.7 cm3 and a density of 19.3 g/cm3. What is its mass? Be sure to show your work and label all units In the story when the author writes "haphazard marvels the planet bestows every year," she suggests.Autumn is an arbitrary, worthwhile fascinationAutumn is methodical, meaningless beautyAutumn is random, yet significant crudeness.O Autumn is spontaneous, trivial beauty pls help me I'll give brainlest and points please someone help meee. Giving brainliest!!