Rewrite the function f(x)=4(x-2)²-8 in the form f(x)=ax²+bx+c.

Answers

Answer 1

Answer:

4[tex]x^{2}[/tex]-16x+8

Step-by-step explanation:

4(x - 2)(x - 2) - 8 = 4([tex]x^{2}[/tex] - 4x + 4) - 8 = 4[tex]x^{2}[/tex] - 16x + 16 - 8 = 4[tex]x^{2}[/tex] - 16x + 8.

Answer 2

Answer:

[tex]f(x) = 4x^2 -16x + 16[/tex]

Step-by-step explanation:

f(x)=4(x-2)² Simplify.

f(x) = 4x^2 - 16x + 16

Form f(x)=ax²+bx+c.

f(x) = 4x^2 - 16x + 16


Related Questions

Factorise 3y^3-4xy+2y

Answers

Answer:

3y^3-4xy+2y

y(3y²-4x+2)

WILL GIVE BRAINLIEST PLEASE HELP
Ryan and Eduardo are saving up money for a vacation to Italy. They have calculated that the trip will cost at least $900. If they’ve already saved $270, how much more do they need to save in order to have enough for the trip? Write an inequality and solution set

Answers

Answer:

they need to save $630 in order to have enough for the trip

270 + 630 = $900

Please help! I will mark brainliest if you are correct

Answers

The answer for √x+17+3=x is choice B x=8

5. A number m is less than – 3 or greater than or equal to 1.
write the sentence as an inequality.

Answers

Answer:

m < -3 or m ≥ 1

Step-by-step explanation:

I urgently need help!!!!!!

Answers

Answer:

You are given a right triangle. The sum of the two acute angles should add up to 90 degrees. Set up an equation using the expressions given and solve for x. Once you know the value of x plug it back into each expression to find the measure for each angle.

Step-by-step explanation:

Angle 1 + angle 2 = 90

solve for x = ____

Plug the value into each expression to find the measure of each angle.

Answer:

D

Step-by-step explanation:

(2x+6)+(5x+14)=90

7x+20=90

7x=70

x=10

(2x+6)=26°

(5x+14)=64°

What is the greatest common factor of the number pair 20 and 30

Answers

Answer:

10

Step-by-step explanation:

do prime factorizations of each number and multiply the common factors

20 = 2 · 2 · 5

30 = 2 · 3 · 5

common factors are 2 and 5

multiply them to get 10

-(5 – 9) - (-2)(2)
how do i solve this?

Answers

Answer:

8

Step-by-step explanation:

-(5 – 9) - (-2)(2)

-(-4) - (-2)(2)

4 - (-4)

4 + 4

8

Use PEMDAS

Answer: The answer is 8

Step-by-step explanation:

Please help me geometry

Answers

Answer:

ASA

Step-by-step explanation:

ASA Congruence Theorem

Lilly records the age, in years, and the height, in inches, of the starting players on the girls’ middle school basketball team.
She records them as ordered pairs (age, height): (11, 62), (12, 64), (13, 65), (13, 67), and (14, 68).
Is this relation a function? Explain.

Answers

Answer:

Im not sure but i think its b or c

Step-by-step explanation:

I would probably mostly recommend b

OMg plzzz help due 5 minutes answer whatever u can and real answers plz

Answers

I am srry I don’t understand any of that

If the candies cost $0.80 per pound, how much money did Zachary spend all together? Show your work.

Answers

do u know how many pounds he bought?

Answer:

Step-by-step explanation:

tfygggggggggggggggggggghzegrxdrcgfexrydgbfetyrhfgvbyhgrthvbthg6cygn

What is the perimeter of each figure? I'm sorry-

Answers

Answer:

1. 4x + 10

2. 3x + 22

Tanijah paid $4.00 for 5 organic peaches. How much did she pay per peach?

Answers

Answer:

80 cents i think if i did my math right

Step-by-step explanation:

80 times 5 is 400

I need help on this problem. Does anyone know how to complete it? Please and thank you :)

Answers

i think it's 5 because i remember learning that it's gonna be half of what the bottom is

Adrian invested $790 in an account paying an interest rate of 6.9% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $2,550?​

Answers

Answer:17

Step-by-step explanation:

trust me its right, no cap

As per compound interest,  it would take 17 years for the value of the account to reach $2,550

What is the compound interest?

If the invested amount is 'P', the rate of interest is r%, and the time of investment is 'n' years, then the compound interest after mentioned duration is = P[1 -  [tex]e^{rn}[/tex]]

Given, the invested amount (P) = $790.

Rate of interest (r) = 6.9% = 0.069.

Let, the amount is invested for 'n' years.

The value of the amount after 'n' years = $2550.

Now, as per compound interest:

A = P. [tex]e^{rn}[/tex]

⇒ 2550 = 790 [tex]e^{(0.069n)}[/tex]

⇒ [tex]e^{(0.069n)}[/tex] = (2550 ÷ 790)

⇒ [tex]e^{(0.069n)}[/tex] = 3.23

⇒ 0.069n = 1.172

⇒ n = 17

Learn more about compound interest here: https://brainly.com/question/20903348

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A farmer wants to fence a piece of his land. Two sides of the triangular field have lengths of 120 feet and 325 feet. The measure of the angle between those sides is 70 degrees. How much fencing will a farmer need?

Answers

Answer: Area=18324 square feet

Explanation: We need to find the area of the field using the side angle side method, which uses the equation (ab*sin C)/2.
Thus, we have (120*325*sin 70)/2=18324 square feet.

Farmer need 750.5 feet fencing for his triangular field.

What is triangle?

"Triangle is  two dimensional geometrical shape with three sides and three vertices. Sum of all the angles of a triangle is equals to 180°.

Formula used

Cosine rule

As per the diagram,

cosθ = (b² +c² -a²) / 2bc

cos 70° = 0.3420

According to the question,

Let AB = c , AC = b  are given sides of measure 120 feet and 325 feet respectively.

and BC = a

Angle between given sides be θ = 70°

Substitute the value in the formula we get,

cos70° = [ (325)² +(120)² - a²] / 2(120)(325)

⇒ 0.3420 = [ 120025 - a²] / 78000

⇒ 120025 -a² = 26676

⇒ a² = 93349

⇒ a = 305.5

Total fencing required for  triangular field = AB + BC +CA

                                                                      = 120 + 325 + 305.5

                                                                      = 750.5 feet

Hence, farmer need 750.5 feet fencing for his triangular field.

Learn more about triangle here

https://brainly.com/question/2773823

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the sides lenghths of a triangle are 9, 12, and 18 is this a right triangle?​

Answers

Answer:

By virtue of the Pythagorean Theorem, in a right triangle the sum of the squares of the smaller two sides equals the square of the largest side. Only 9, 12, and 15 fit this rule.

Verizon charges $200 to start up a cell phone plan. then there is a $50 charge each month. what is the total cost for .x months

Answers

Answer:

200 + 50x

Step-by-step explanation:

depending on what x is, you multiply x by 50 and add 200, since 200 is the start up fee and the constant. the 50 dollars per month is a variable, since the more months you own the plan, the more money it would cost.

y=-3/7x(-1/7) whats the slope and y-intercept

Answers

Answer:

Step-by-step explanation:

Slope= -3/7

Y x intercept = -1/7

Answer:

the slope is -3/7

y int is -1/7

A box has a length of 8 centimeters, a width of 7 centimeters, and a height of 5 centimeters. What is the total volume of the box?

A 616161 cubic centimeters

B 969696 cubic centimeters

C 250250250 cubic centimeters

D 280280280 cubic centimeters

Answers

The answer might be A or B I don’t know.

how to prove triangles are congruent

Answers

Answer:

Step-by-step explanation:

If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

Answer:

by four method

Step-by-step explanation:

1st by AAA

2nd by AA

3rd by SSS

4th by SAS

Solve the equation h+28= -37

Answers

Answer:

-65

Step-by-step explanation:

h + 28 = -37

    -28    -28

        h = -65

what is the answer to 7.7w-4.6w

Answers

Answer:

Its simple : 3.1w

Answer:

3.1w

explanation

convert 40/99 into a decimal round to the nearest tenth if possible

Answers

It should be 0.4 :) Hope this helps!

Answer:

.40

Step-by-step explanation:

convert the fraction to a decimal by dividing the numerator by the denominator.

Plz help!!! 10 pts..

Answers

Answer:

63 boquets were sold in the afternoon.

Step-by-step explanation:

Divide 90 by 10 to get 9. Then multiply 9 by 3.

Answer:

23.1 pounds.

Step-by-step explanation:

Multiply 140 by 0.165.

Write as a repeated addition. Use fraction
strips or a number line to calculate each
answer.

a) 2 x 1/3

b) 2 x 5/4

c) 4 x 5/2

d) 5 x 1/6

e) 6 x 3/5

f) 7 x 7/6

Please answer it it as quickly as possible....

Answers

Answer:

A) 2/3

B) 5/2

C)5/2

D) 5/6

E) 9/5

F) 49/6 (LOWEST TERM IT URSELF PLS)

Segment A'B' is parallel to segment AB.
What is the length of segment AB?

Answers

Answer:

7.5

Step-by-step explanation:

5/6=x/9

cross multiply

6x=45

x=45/6

x=7 3/6 = 7 1/2 = 7.5

The midpoint of \overline{\text{AB}} AB is M(5, 1)M(5,1). If the coordinates of AA are (3, 6)(3,6), what are the coordinates of BB?

Answers

Answer:

(7, -4)

Step-by-step explanation:

The formula for calculating midpoint is expressed as;

M(X, Y) = (x2+x1)/2, (y1+y2)/2

X = x1+x2/2

Y = y1+y2/2

Given

X = 5, Y = 1, x1 = 3, y1 = 6

Get x2

X = x1+x2/2

5 = 3+x2/2

10 = 3+x2

x2 = 10-3

x2 = 7

Get y2;

Y = y1+y2/2

1 = 6+y2/2

2 = 6+y2

y2 = 2-6

y2 = -4

Hence the coordinate of B is at (7, -4)

Which is the correct equation for a line that has a slope of 2 and passes through the point (-1, -5). Use the graph below or graph paper if needed.
PLEASE HELP ASAP
A.y = 2x - 5

B.y = 2x + 5

C.y = 2x - 3

D.y = 2x + 3

Answers

9514 1404 393

Answer:

  C.  y = 2x - 3

Step-by-step explanation:

The y-intercept (b) can be found from ...

  y = mx + b

  y - mx = b . . . . . subtract mx

Here, you are given (x, y) = (-1, -5) and slope m = 2.

  b = -5 -2(-1) = -5+2 = -3

The correct equation is ...

  y = 2x -3 . . . . . matches choice C

_____

On the graph, you can plot point (-1, -5) left of the y-axis 1 unit and down from the x-axis 5 units. The slope of 2 tells you the line will rise 2 units from there to a y-value of -3 when it runs 1 unit to the right to an x-value of 0. That point (0, -3) is the y-intercept, showing you that choice C is correct.

-72 = 8d what does d =

Answers

Answer:

Step-by-step explanation:

8d=-72

d=-9

-72d=8d
Switch sides
8d=-72
Divide both sides by 8
8d/8=-72/8
D=-9 is the answer
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