Write the function f (x) = 22 - 4x - 7 in vertex form.
Show your work.

Answers

Answer 1

Answer:

              [tex]\boxed{\bold{\,f(x)=2(x-1)^2-9\,}}[/tex]

Step-by-step explanation:

[tex]f(x)=2x^2-4x-7\\\\f(x)=2(x^2-2x-3.5)\\\\f(x)=2(\underline{x^2-2x+1^2}-1^2-3.5)\\\\f(x)=2\big((x-1)^2-4.5\big)\\\\f(x)=2(x-1)^2-9[/tex]

Vertex:  (1, -9)


Related Questions

The formula t=√h/4 represents the time t in seconds that it takes an object to fall from a height of h feet. If a rock falls from a height of 125 feet, estimate how long it will take to reach the ground

Answers

Answer:

it would take 14mph

Step-by-step explanation:

A function assigns the values. The time it will take for the rock to reach the ground from a height of 125 feet is 2.795 seconds.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

Given that the formula t=√h/4 represents the time t in seconds that it takes an object to fall from a height of h feet.

Now, in order to calculate the time, it will take for the rock to fall from the height of 125 feet, simply substitute the height of the rock from which it is dropped in the formula given.

Therefore, the time it will take for the rock to reach the ground from a height of 125 feet is,

t = √h / 4

t = (√125) / 4

t = (5√5) / 4

t = 2.795 seconds

Hence, the time it will take for the rock to reach the ground from a height of 125 feet is 2.795 seconds.

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If the selling prices of 20 pens are equal to the cost price of 25 pens, what is the gain percentage?

Answers

The gain percentage is 25%

[tex]\huge\bold\red{Answer:-}[/tex]

No(0)Let the cost price of the 20 pens be ₹100.

Cost of each pen=₹100/20=₹5

Selling price of each 25 pens sold=₹100/25=₹4.

%LOSS:

If cost of each pen. = 5=100%

..selling price of each pen. = 4= ?%.

Cross multiply:5? =400

?=80%

So,%loss= 100%-80%=20%

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POSSIBLE PO In a bag there are 10 red marbles, 5 green marbles, and 5 blue marbles. Wh at is the ratio IN FRACTION FORM of RED marbles to the total?​

Answers

Answer:

10/20 = 1/2

There are a total of 20 marbles, and ten of those are red = 10/20

Which, is half of the total.

Write and solve the equation, and then check your answer.

The sum of two and two tenths and a number is five.

Which statements are correct? Check all that apply.

A.The word “sum” means the result of adding two numbers.
B.The correct equation is n – 2.2 = 5.
C.The correct equation is n + 2.2 = 5.
D. The solution of the equation is n = 7.2.
E.The solution of the equation is n = 2.8.
F.Check the solution by substituting the value for n and simplifying.

Answers

Answer:

A, C, E, F

Step-by-step explanation:

I took the assignment

Answer:

A,C,E,F

Step-by-step explanation:

I KNOW IT IS

Whoever is reading this:
I love u.
U matter.
The world needs u
hang in there ik it may be bad but u deserve the world <3
ur beautiful no matter ur shape, size, color, gender.. anything
don't give up i need u to live.
i wish i could take everyones problems so yall wouldn't have to have em but i cant so just know ily and if anyone needs to talk u can talk to me
Pls pass this on. Everyone deserves to know this. ♥️♥️

Answers

Answer:

Wait aww this is so sweet of you thank you <3

find the distance between a(-3,1) and b(-5,5)

Answers

Answer: 6.4236

Step-by-step explanation:

Liam is constructing a square in which two of its vertices are points A and B. He has already used his straightedge and compass to construct the lines and arcs shown.

What should Liam do for his next step?

A. Place the point of the compass on point A and draw any arc above it.

B. Use the straightedge to draw a horizontal line that contains point E.

C. Use a straightedge to draw AE¯¯¯¯¯.

D. Place the point of the compass on point B and draw an arc that intersects BE¯¯¯¯¯, using ​AB​ as the width for the opening of the compass.

Answers

Answer:

Step-by-step explanation:

B

Answer:

The correct answer is D.

D) Place the point of the compass on point B and draw an arc that intersects BE¯¯¯¯¯, using ​AB​ as the width for the opening of the compass.

Step-by-step explanation:

You extend your compass the width of line AB and then place the compass point on point B, create an arc on point E.

Then, without adjusting the compass expansion, proceed to do the same on point A. Point of compass on point A, create arc above. Etc

I hope this helps!

helpp please i need your helppppp

Answers

Answer:

1/2 or .5

Step-by-step explanation:

If you type in ur calculated you get .5 all you have to do is -.8 times by -5/8

Answer:

0.5

Step-by-step explanation:

5,2,-1,-4,-7 arithmetic

Answers

easy it’s 6 9 your welcome i’m happy i could help u

PLEASE HELP FAST

write an inequality and solve it

Answers

Answer:

1>2x

Step-by-step explanation:

1>2x

1/2= one half

2x/2= x

one half>x

While shopping for​ clothes, Curtis spent ​$78 less than 3 times what Daniel spent. Curtis spent ​$21. Write and solve an equation to find how much Daniel spent. Let x represent how much Daniel spent.

Answers

hope this helps. Daniel spent $33

help please !
need done before 11:59

Answers

I am not 100% sure about this. However, I think the answer is the definition of a midpoint. Because it would make sense that if C is the midpoint of AG then ACM ≅CGP

Roxy is multiplying 18 by 43.

Use the drop-down menu to complete the statement.




1
4
1
The product × will be
.

8
3
8

Answers

Answer:

774,

Step-by-step explanation:


Mrs. Nixon went to the store to buy candy for her
students. Candy was on sale for $0.90 per
pound. If Ms. Nixon purchased 2.5 pounds of
candy, how much did she pay?

Answers

Answer:

$2.25

Step-by-step explanation:

First, we (always) highlight key details. In this case, we would highlight that th candy is 90 cents per pound, and the she bought 2.5 pounds. Now, we just multiply 2.5 by .90, and boom! We get $2.25. Mrs. Nixon spent $2.25 (or two dollars and twenty-five cents) on candy bars.

After watching some fish 40 feet below the surface of the water, a scuba diver went up 15 feet to explore a coral reef. Use a number line to help you create an equation that shows the location of the coral reef in relation to the water's surface.︎︎︎︎︎︎︎ ︎︎︎︎​

Answers

Answer: -40 + (-15) = -55

Step-by-step explanation:

Answer: The answer is -40 + (-15) = -25

Step-by-step explanation: I just did the test and thankfully I got the answer right.

Hope this helps

Mofor had some candy to give to his three
children. He first took two pieces for
himself and then evenly divided the rest
among his children. Each child received
four pieces. With how many pieces did he
start?

Answers

Answer:

He started with 14 peices of candy

Step-by-step explanation:

We know that there are three children and each gets 4 pieces so we do 3x4=12 and then add the 2 that he took for himself which gives us 14.

Jules cut 2.75 inches from a metal rod. The metal rod is now 10.5 inches long. Which equation can be used to find the length of the metal rod before it was cut? Group of answer choices

Answers

L = 10.5 + 2.75

What are the answer choices?

Answer:

The solution for the equation 1,056=b+670

Step-by-step explanation:

There were 28 boys on the boy's basketball team and 16 girls on the girl's basketball team last year. This year the number of boys decreased by 8% but the number of girls increased by 19%. Was there an increase or decrease in overall participation?

Answers

I’m pretty sure it decreased, apologies if I got this wrong

The sum of participants last year was 44 students, but this year was only 37.80 participants.

There is an increase in total participants.

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

number of boys = 28

Number of girls = 16

Total participants = 28 + 16 = 44

Now, there is decrease in number of boys by 8%

= 28- 8%  x 28

=28- 8/100 x 28

=28 - 0.08*28

=28 -2.24

= 25.76

and, there is 19% increase in number of girls

=16 + 0.19 x 16

=16 + 3.04

=19.04

So, total participants = 25.76 + 19.04

= 44.8

Hence, there is an increase in total participants.

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What is the value of the point on the number line?
5/8
3/8
5/7
4/6

Answers

4/6 because the numbers in 6 sections and it’s on the fourth line

The figure shows a right triangle next to a square.
What is the total area of the shape they make?

Answers

Answer:

Step-by-step explanation:

By using the Formula:

Areatriangle=10*5/2=25

Areasquare=5*5=25

Total Area is: 25+25=50

It will be nice if you give me brainliest.Good luck!

Answer:

50cm²

Step-by-step explanation:

Square- length x breadth

           =5cmx 5cm

           =25cm²

Triangle- ¹/₂ x base x perpendicular height

            = ¹/₂x 5cm x 10cm

            =25cm²

Square-   25cm²

Triangle-+25cm²

total area- 50 cm²

I hope it helps

Thank U

Complete the statements below that show y = 8x2 + 32x + 17 being converted to vertex form.

Factor out the leading coefficient.

y = 8(x2 + 4x) + 17

Form a perfect-square trinomial.

Answers

Answer:

y = 8(x + 2)^2 + -15

Step-by-step explanation:

Factor out the leading coefficient.

y = 8(x2 + 4x) + 17

Form a perfect-square trinomial.

y = 8(x2 + 4x + 4) + 17 + -32

Write in vertex form.

y = 8(x + 2)^2 + -15

Answer:

4, -32

Step-by-step explanation:

Which quadrant contains the point named by (2,5)

Answers

quadrant 1 contains that point! hope this helps

Answer:

Quadrant 4

Step-by-step explanation:

What is the length of the altitude of the equilateral triangle below?

A: 32
B: 8 : 3
C: 4
D: 4 : 3
E: 1
F: 8

Answers

Answer:

D

Step-by-step explanation:

AP3X

pog

The altitude of the triangle is 4√3 which is the correct option (D)

What is the right triangle?

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

In any equilateral triangle, the three angles are of equal measure and they equal 60 degrees.

When we drop a perpendicular that is the height of the triangle we have a 30 -60 90 triangle.

The hypotenuse = 8

Let, perpendicular = a and base = 4

According to Pythagoras theorem,

A right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

perpendicular²+base² = hypotenuse²

a² + (4)² = (8)²

a² + 16 = 64

a² = 64 - 16

a² = 48

a = √48

a = 4√3

Hence, the altitude of the triangle is 4√3

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You have $300 to spend on school clothes shirts cost $15 and pants $20

Answers

265 should be correct

Answer

19 pants and 6 shirts

is 3/17 rational or irrational

Answers

Answer:

A rational number is a number that can be put in the form p / q where p and q are integers.

3 and 17 are integers

3 / 17 is rational

Can someone help me?​

Answers

Answer:

x = 10

Step-by-step explanation:

50 + 4x = 90

4x = 40

x=10

X=10 because it has to add up to 180 so 4 x 10 would equal 40 and 40 + 50=180

-8≤8+y for the solution?

Answers

Answer:

- 16 ≤ y

Step-by-step explanation:

- 8 ≤ 8 + y

- 8   -8

- 16 ≤ y

Answer:

Y>-16

The > is a greater than or equal to i just can’t put it in since I’m on my phone

Step-by-step explanation:

If you’re solving for y that should be the answer

help! thank you so much

Answers

Answer:

There are no solutions. Hope this helps! :)

∠A and \angle B∠B are supplementary angles. If m\angle A=(4x-30)^{\circ}∠A=(4x−30)

and m\angle B=(4x-14)^{\circ}∠B=(4x−14)

, then find the measure of \angle A∠A.

Answers

Answer:

the measure of ∠A. is 87∘

Step-by-step explanation:

Two angles are said to be supplementary angles if the sum of those angles is 180 degrees.

_________________________________________________

Given

∠A=(4x−30) ∘

∠B=(4x−14) ∘

Fir angles to be supplementary

∠A + ∠B = 180

(4x−30) ∘ + (4x−14) ∘ = 180∘

(8x -54 )∘ = 180∘

=> 8x =  180∘ +  54∘= 234∘

=> x = 234∘/8 = 29.25∘

Thus,

∠A=(4x−30) ∘

∠A=(4*29.25−30) ∘ =( 117 - 30 ) ∘ = 87∘

Thus,

the measure of ∠A. is 87∘

At the beginning of the school year, Jamie had $500 in her savings account. She wants to have at least $200 left in the account at the end of the school year. Each week, she withdraws $30 for spending money. To determine how many weeks she can spend $30, Jamie wrote and solved this inequality. 500 − 30x ≥ 200 −500 −500 −30x ≥ −300 x ≥ 10 Review Jamie's work. What was her error?

Answers

Answer:

Step-by-step explanation:

Given the inequality solved by H=Jamie expressed as:

500 − 30x ≥ 200

We need to calculate the range of x of the inequality to determine the number of weeks she can spend $30 as shown:

500 − 30x ≥ 200

Subtract 500 from both sides

500 − 30x - 500≥ 200 - 500

− 30x ≥ -300

Divide both sides by -30

− 30x/-30 ≥ -300/-30

x ≤ 10 (note that the inequality sign changes after dividing both sides by a negative sign)

Jamie's error was that she didn't change the sense of inequality after dividing both sides by -30 hence rendering her solution incorrect

Hence the number of weeks is less than or equal to 10.

Answer:

Answer is B

Step-by-step explanation:

Jamie should have reversed the inequality when using the division property of inequality. is the right answer hope it helps

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