rewrite the function f(x)=2(x-2)^2-5 and in the form ax^2+bx+c

Answers

Answer 1

Answer:

Step-by-step explanation:

f(x)=2(x-2)²-5

f(x)=2(x²-4x+4)-5

f(x)=2x²-8x+3


Related Questions

Help please.

Tony and Edwin each built a rectangular garden. Tony’s garden is half as long and 6 times as wide as Edwin’s garden. If the area of Edwin’s garden is 400 square feet, what is the area of Tony’s garden?

Answers

Answer:

1200 ft²

Step-by-step explanation:

Let's say that Edwin's garden was 400 feet long and 1 foot wide.

If Tony's garden is half as long and 6 times as wide, then we need to divide 400 in half and multiply 1 by 6 to get the dimensions of Tony's garden.

400/2 = 200 ft

1 × 6 = 6 ft

Area of Tony's Garden = 6 x 200 = 1200 ft²

Mary creates a stack of 10 of piece M and a stack of 8 of piece N. Both stacks have equal volumes

Answers

Hey hey oh nananananannananananannana

Television sizes are described by the length of their diagonal measure. What would be the listed size of the TV shown? (To the nearest whole inch)

Answers

Answer:

The listed size is 32 inches

Step-by-step explanation:

Given

See attachment for television

Required

The listed size

The listed size is calculated by the diagonal of the television.

This is calculated as using Pythagoras theorem as follows:

[tex]Diagonal^2 = Length1^2 + Length2^2[/tex]

Where:

[tex]Length1 =28in[/tex]

[tex]Length2 =15.7in[/tex]

So, we have:

[tex]Diagonal^2 = 28^2 + 15.7^2[/tex]

[tex]Diagonal^2 = 784 + 246.49[/tex]

[tex]Diagonal^2 = 1030.49[/tex]

Take positive square roots of both sides

[tex]Diagonal = \sqrt{1030.49[/tex]

[tex]Diagonal = 32[/tex] --- approximated

Hence, the listed size is 32 inches

Jamie sees a sale at the Gaming Store where all games are the same price. He buys 3 video games. His sister talks him into also buying two $1.50 candy bars and a $2.00 drink for a total of $57.50. Write an equation to find the price of one video game.

Answers

Answer: 3x + 5 = 57.50

Step-by-step explanation:

Assume that the price of one video game is x. Jamie bought 3 video games so the expression will be:

= 3x

His sister talked him into buying two $1.50 candy bars and a $2.00 drink. The total of this is:

= 1.50 + 1.50 + 2.00

= $5.00

The total amount spent on both the video game and the snacks is $57.50. Equation will therefore be:

3x + 5 = 57.50

Which of the equations below has no solution?

Answers

The last choice.

I have solved all of the problems and the last choice is the only one that has no solution.

An airplane descends 2.7 miles to an elevation of 8.35 miles. Find the elevation of the plane before its descent.

Answers

11.05

You would add these two numbers to find what the started at because the inverse of subtraction is addition.

i neex help on a equation ​

Answers

Answer:

-24a^10

Step-by-step explanation:

Given the equation −4a^5⋅6a^5

This can also be written as

−4a5⋅6a^5

= (-4*6)(a^5*a^5)

= -24(a^{5+5})

= -24a^10

Hence the required expression is -24a^10

The line plot below shows the amount of water ( in gallons) students drank in a week. What is the difference in the lowest amount of water and the highest amount of water students drank

Answers

The difference in the lowest amount of water and the highest amount of water students drank is 1/2

How to determine the difference?

From the complete question (see attachment for line plot), we have:

Least = 1/8

Highest = 5/8

The difference is then calculated as:

Difference = Highest - Least

This gives

Difference = 5/8 - 1/8

Evaluate

Difference = 4/8

Simplify

Difference = 1/2

Hence, the difference in the lowest amount of water and the highest amount of water students drank is 1/2

Read more about line plots at:

https://brainly.com/question/15853311

#SPJ4

If f(x) = -8x - 4 and g(x) = x+3 which statement is true?

Answers

Answer:

Step-by-step explanation:

F(x)=-8x-4. G(x)= x+3

-8x-4-x-3=-9x-7


A $60 shirt is on sale for 30% off. How much is the shirt's sale price?

Answers

Answer:39?

Step-by-step explanation:

Which expression is equivalent to 6/7 divided by 3/5 ?

A. 6/7 x 5/3

B 6/7 x 5/3

C 7/6 divided 3/5

D 5/3 divided 6/7​

Answers

Answer:

A.

Step-by-step explanation:

6/7  / 3/5   we invert the divisor and multiply:

= 6/7 * 5/3


2. A bottle of water contains 40 fluid ounces of water. How many pints of water does the bottle
contain?
F. 2 pints
G. 3 pints
H. 1.75 pints
J. 2.5 pints

Answers

Please mark me brainliest!!!

It would be J. 2.5 pints.

I hope this helps!

Juan is going to invest $1,700 and leave it in an account for 14 years. Assuming the interest is compounded continuously, what interest rate, to the nearest tenth of a percent, would be required in order for Juan to end up with $3,700?

Answers

Answer:

5.6  percent

Step-by-step explanation:

because

How much granola will each person get if 4 people share
5pound of granola equally?

Answers

Answer:

5/4

Step-by-step explanation:

i need help i literally don't understand this at all and the teacher doesn't explain the assignment at all.

Answers

Answer:

2) 67.8°

3) 46.8°

4) 56.0°

Step-by-step explanation:

Use the right triangle trig functions

sine, cosine, or tangent and take the inverses to find the angle

Can someone please help me

Answers

Answer:

I belive the answer would be B

Step-by-step explanation:

equivalent to 0.13
?

Answers

Answer:

13/100 or 13% is equivalent to 0.13

Step-by-step explanation:

hope this helps

Evaluate the following: 16 + |(7)(-3) - 44| - 5

Answers

Answer:

76

Step-by-step explanation:

16 + |-21 - 44| - 5

16 + 65 - 5 = 76

the distance from the center of a square to a side is 4 yd. find the perimeter of the square

Answers

4th grade math HAHAHAHAHHAAA your too young for brainly ima report you  ✋✋✋

Which algebraic expression is equivalent to the expression below?
A.24x +30
B.6x- 1
C.6x-9
D.24x -30 6(4x - 5)

Answers

Answer:

Step-by-step explanation:

Evaluate the expression for
c = 3 and d = -1
cd2

Answers

Answer: 3

Step-by-step explanation:

3(-1)^2

Answer: 3

Step-by-step explanation:

hope this helps

Felipe is a software salesman. His base salary is $2200, and he makes an additional $70 for every copy of English is Fun he sells. Let P represent his total pay in dollars), and let N represent the number of copies of English is Fun he sells. Write an equation relating P to N. Then use this equation to find his total pay if he sells 26 copies of English is Fun.​

Answers

Multiplying N by what he makes for each one and add to his salary:

P = 70N + 2200

Replace n with 26 and solve:

P = 70(26) + 2200

P = 1820 + 2200

P = 4020

He earns $4,020

Answer:

Multiplying N by what he makes for each one and add to his salary:

P = 70N + 2200

Replace n with 26 and solve:

P = 70(26) + 2200

P = 1820 + 2200

P = 4020

He earns $4,020

Step-by-step explanation:

2.) Olivia is borrowing $60 from her brother at 10% monthly interest. The
interest is to be compounded every month, and her only repayment
will be in full after 3 months. About how much will Olivia pay in
interest?

Answers

Answer:

18 dollars

Step-by-step explanation:

well my teacher tought me to use something called a proportian box when you multiply the 60 * 210 equals 600 divided by 100 equals that 6 dollars of the interest then you multiply by 3 months with gives you 18 dollars in total

hope this helps

Brianne's town is building a pool based on a scale drawing that is 20 centimeters by 10 centimeters and uses the scale 1 cm:250 cm. What is the area of the pool in square meters? Enter the area of the pool in the box.

Answers

Answer:

[tex]A=1250m^2[/tex]

Step-by-step explanation:

From the question we are told that

Dimension of drawing

20 centimetres by 10 centimetres

Scale of drawing

1 cm:250 cm

Generally the the Main dimension of the pool is mathematically given as

[tex]L=length\ of\ scaled\ pool*250 cm\\B=length\ of\ scaled\ pool*250 cm\\L=20*250=5000 cm=50m\\B=10*250=2500 cm=25m[/tex]

Therefore Area Aof main pool is mathematically given as

[tex]A=50m*25m=1250 m^2[/tex]

[tex]A=1250m^2[/tex]

helpppppppp pleaseeeeee

Answers

Answer:

7a + b - 16c

Step-by-step explanation:

So we have

7a-3b+c-8c+4b-9c

When it comes to problem like these, you need to combine like terms.

There's only one 'a' number, so that one remains the same.

Next, we have -3b and 4b. (-3b+4b)= b

Finally, there's (c-8c-9c).

(-8c-9c)= -17c

Take that and add the positive 'c' to it.

(-17c+c)= -16c

Put it all together now to get:

7a + b - 16c

I hope that helped and helped you understand at least a little

:)

Plot the graph for the equation2y+6=0 , and then select the matching graph below.

Answers

Answer:

y = -3

Step-by-step explanation:

2y + 6 = 0

2y = -6

y = -3

Since it's just y = -3, there is NO SLOPE and it's just one straight line going horizontally.

So just pick the graph where it's a horizontal line that only goes through the y-axises of -3 (i.e (0, -3), (1, -3), and etc)

Can you please help me

Answers

Answer:

there is the answer. ❤ hope it helps

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Answers

Answer:

D

Step-by-step explanation:

Find the total surface area of this cone.
Leave your answer in terms of .
15 cm
78 cm
SA = [ ? 17 cm?

Answers

Answer:

SA = 200π cm²

Step-by-step explanation:

The slant height l is the hypotenuse of the right triangle inside the cone

The triangle is an 8- 15- 17 ( Pythagorean triple ) with l = 17

Then

SA = πrl + πr²

     =(π × 8 × 17) + (π × 8²)

     = 136π + 64π

     = 200π cm²

Answer:

in the right angle triangle,

p=15cm

b=8cm

[tex]h = \sqrt{15 {}^{2} + 8 {}^{2} } \\ = \sqrt{125 + 64} \\ = \sqrt{289} \\ = 17cm \\ sa = \pi \: rl + b \\ = \pi \: 8 \times 17 + \pi \: r {}^{2} \\ = 136\pi + 64\pi \\ = 200\pi[/tex]

A 20 foot ladder is leaning up against the side of a house the distance between the house and the base of the ladder is 4 feet find the angle that the ladder makes with the ground

Answers

Answer:

78.5°

Step-by-step explanation:

We solve for the above question, using the formula for the Trigonometric function of Cosine

cos θ = Adjacent/Hypotenuse

Adjacent = The distance between the house and the base of the ladder = 4 feet

Hypotenuse = Length of the Ladder = 20 feet

Hence,

cos θ = 4/20

θ = arc cos(4/20)

θ = 78.463040967°

Approximately = 78.5°

Therefore, the angle that the ladder makes with the ground is 78.5°

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