Consider the quadratic function f(x)= 2(x + 4)² − 6. What is the vertex of the parabola? *

Answers

Answer 1

Answer:

vertex is (-4,-6)

Step-by-step explanation:

put x+4=0

x=-4

when x=-4

f(x)=-6

Answer 2

Answer:

(-4,-6)

Step-by-step explanation:


Related Questions

Find the area of the shape shown below.
12
4

Answers

The answer to this question is 32

Answer:

32

Step-by-step explanation:

Find the product of (−2r+6s)(−2r−6s). Write your answer in standard form.

Answers

Answer:

4r^2 - 36 s^2

Step-by-step explanation:

Which of the following describe the growth rate of the exponential function in the graph below?

Answers

Answer:

B)

Step-by-step explanation:

Let's check each answer:

A is incorrect. If that were the case, (0,1) to (1,3) would be (0,1) to (1,5) instead

B is correct. The y-coordinate gets multiplied by 3 each time (0,1)->(1,1*3)->(2,3*3)->(4,3*3*3)

C is incorrect. If that were the case, (1,3) to (2,9) would be (1,3) to (2,7) instead.

D is incorrect. If that were the case, (0,1) to (1,3) would be (0,1) to (1,4) instead.

Therefore, the correct answer is B.

Answer:

Its B :)

Step-by-step explanation:

I j took the unit quiz lol

Find the total surface area of this cuboid 7.2cm. 3.1cm. 4.8cm

Answers

Answer:

Total surface area of cuboid (6 faces)

= 7.2 x 3.1 x 2 + 7.2 x 4.8 x 2 + 3.1 x 4.8 x 2 = 143.52 (cm2)

Answer:

Step-by-step explanation:

Total surface area of cuboid (6 faces)

= 7.2 x 3.1 x 2 + 7.2 x 4.8 x 2 + 3.1 x 4.8 x 2 = 143.52 (cm2)

A spinner is divided into 4 sections using the
colors red, orange, yellow, and green. After
50 trials, the spinner landed on red 10 times,
on orange 16 times, on yellow 6 times, and
on green 18 times. What would you estimate
as the probability of the spinner not landing
on yellow?​

Answers

Answer:

0.88

Step-by-step explanation:

Given:

A spinner is divided into 4 sections using the  colours: red, orange, yellow, and green. After  50 trials, the spinner landed on red 10 times,  on orange 16 times, on yellow 6 times, and  on green 18 times.

To find: probability of the spinner not landing  on yellow

Solution:

Probability is the chance of occurrence of some event.

Total number of outcomes = 50

Number of favourable outcomes = 50 - 6 = 44

Probability of the spinner not landing  on yellow = Number of favourable outcomes / Total number of outcomes = [tex]\frac{44}{50}=\frac{22}{25}=0.88[/tex]

Answer:

The answer is 0.88 Hope this helps any T4L students!

HELPPPP PLEASE ! GET POINTS AND BRAINLIEST!

Answers

Answer:

1. segment RT

2. segment QS

3. segment PS

4. < QTR

5. arc QR

6. arc QSR

7. arc QS

These are all by definition.

Radius: distance from the center of a circle to a point on the circle

Diameter: a chord that goes through the center

Chord: any segment whose endpoints are on the circle

Central Angle: an angle at the center of the circle with endpoints on the circle

Minor Arc: arc that is less than 180 degrees

Major Arc: arc that is greater than 180 degrees

Semicircle: Arc of 180 degrees

Money is shared between kiera and louise in the ratio 4 :5 If £36 is shared how much does kiera recievve

Answers

Answer:

18$

Step-by-step explanation:

Answer:

£16

Step-by-step explanation:

Sum the parts of the ratio, 4 + 5 = 9 parts

Divide the money by 9 to find the value of one part of the ratio

£36 ÷ 9 = £4 ← value of 1 part of ratio, thus

4 × £4 = £16 ← Kiera's share of the money

The partial pressure of carbon dioxide in a mixture is 0.31 atm.

If the mole fraction of the carbon dioxide is 0.46, what is the

total pressure of the mixture?

Answers

Answer:

[tex] P_{Co2}= X_{Co2} P_{tot}[/tex]

Where [tex] P_{tot}[/tex] represent the total pressure and [tex]X_{Co2}[/tex] the fraction of carbon dioxide is 0.46 and we can find the total pressure with this formula:

[tex] P_{tot}= \frac{P_{Co2}}{X_{Co2}}[/tex]

And replacing we got:

[tex] P_{tot}= \frac{0.31 atm}{0.46}= 0.674 atm[/tex]

Step-by-step explanation:

For this case the partial presure of carbon dioxide is given by:

[tex] P_{Co2}= X_{Co2} P_{tot}[/tex]

Where [tex] P_{tot}[/tex] represent the total pressure and [tex]x_{Co2}[/tex] the fraction of carbon dioxide is 0.46 and we can find the total pressure with this formula:

[tex] P_{tot}= \frac{P_{Co2}}{X_{Co2}}[/tex]

And replacing we got:

[tex] P_{tot}= \frac{0.31 atm}{0.46}= 0.674 atm[/tex]

Elliott has some yarn that she wants to use to make hats and scarves. Each hat uses 0.2, point, 2 kilograms of yarn and each scarf uses 0.1, point, 1 kilograms of yarn. Elliott wants to use twice as much yarn for scarves as for hats, and she wants to make a total of 20 items. Let h be the number of hats Elliott makes and s be the number of scarves she makes. Which system of equations represents this situation?

Answers

Answer:

Step-by-step explanation:

Let h be the number of hats Elliott makes and s be the number of scarves she makes.

Each hat uses 0.2 kilograms of yarn and each scarf uses 0.1 kilograms of yarn. Elliott wants to use twice as much yarn for scarves as for hats. This is expressed as

h = 2s

The total number of hats and scarves that she wants to make is 20. This is expressed as

h + s = 20

Therefore, the system of equations that represents this situation are

h = 2s

h + s = 20

Answer: The answer is letter C

Step-by-step explanation:

does anyone know the answer to this please ?

Answers

Answer:

I think it's the first one.

Which expression is equivalent to
ва ?
o areks
22
зев
обек
22
34

Answers

Answer:

22

Step-by-step explanation:

it is epuivalet

The correct answer is 22

N/A
N/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/A

Answers

Answer:

why is there an N not paired up with A at the beginning, and an A without an N at the end? oh my gosh dude pair them up theyre lonely

Step-by-step explanation:

3(x + 4) = 3x + 12 solve for x

Answers

Answer:

all real numbers.

Step-by-step explanation:

First, distribute 3 to all terms within the parenthesis:

3(x + 4) = 3(x) + 3(4) = 3x + 12

3x + 12 = 3x + 12

Because both sides are the same, your answer for x is "all real numbers".

~

The difference of a number and 8 is no more then 13

Answers

x - 8 = </= 13

x could be from 9 to 21

You have ten pigeons. You want to give these pigeons away to some of your friends. The first friend picks a number of pigeons of her choice for herself. After that you give away the remaining pigeons to the rest of your friends. If you give each of them 3 pigeons, 5 are left and if you give each of them 5 pigeons, 3 are left. How many pigeons did your first friend choose for herself?

Answers

Answer:

2

Step-by-step explanation:

May someone help me solve
g(x)=8x^2-10x-3 and find the x intercepts

Answers

X intercepts:

(-1/4,0),(3/2,0)

4688-3) -30X-5 CX-5)

Answers

Answer:

x = 13/3

Step-by-step explanation:

4(8x-3) - 30x = 5(x-5)

Distribute

32x - 12 - 30x  = 5x -25

Combine like terms

2x -12 = 5x-25

Subtract 2x from each side

2x-12-2x = 5x-2x -25

-12 = 3x-25

Add 25 to each side

-12+25 = 3x-25+25

13 = 3x

Divide each side by 3

13/3 = x

Answer:

x ≈ 4.3

Step-by-step explanation:

Distribute the 4 to (8x - 3) and the 5 to (x - 5), like so:

4(8x - 3) - 30x = 5(x - 5)

32x - 12 - 30x = 5x - 25

Add like terms (32x and -30x), like so:

32x - 30x = 2x

2x - 12 = 5x - 25

Subtract 2x from both sides:

2x - 12 = 5x - 25

-2x         -2x

____________

-12 = 3x - 25

Add 25 to both sides:

-12 = 3x - 25

+ 25       + 25

____________

13 = 3x

Divide both sides by 3:

4.3 ≈ x

A college statistics class at a nearby university has 1,000 students enrolled in it. On a recent exam, the mean score was 75% with a standard deviation of 5%. Use the calculator to show what percentage of students scored between a 73 and 78 (C grade).

Answers

Answer:

38.11%

Step-by-step explanation:

Given that:

Mean (μ) = 75, standard deviation (σ) = 5

Z score is a measure in statistics to determine the variation of a raw score from the mean. It is given by the equation:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

To calculate the percentage of students scored between a 73 and 78 (C grade), we need to find the z score for 73 and then for 78.

For x = 73, the z score is:

[tex]z=\frac{x-\mu}{\sigma}=\frac{73-75}{5} =-0.4[/tex]

For x = 78, the z score is:

[tex]z=\frac{x-\mu}{\sigma}=\frac{78-75}{5} =0.6[/tex]

From the probability distribution table:

P(73 < x < 78) = P(-0.4 < z < 0.6) = P(z < 0.6) - P(z < -0.4) = 0.7257 - 0.3446 = 0.3811 = 38.11%

Please help me with this question

Answers

Answer:

Either 36.35 or 16.00173

Step-by-step explanation:

the reason im saying its either is due to not remembering whether do divide by inverse cosine to get on other side of equal sign or to just divide the cosine as is.

IF you are supposed to use inverse cosine:

16.00173

IF NOT:

36.35182

Evaluate 7 r − 15 s 7r− s 15 ​ 7, r, minus, start fraction, 15, divided by, s, end fraction when r = 3 r=3r, equals, 3 and s = 5 s=5s, equals, 5.

Answers

Answer: 18

Step-by-step explanation:

Evaluate 7 r − 15 /s

Given that r = 3 and s = 5

7r - 15/s

Substitute 3 for r and 5 for s in the above expression

7(3) - 15/5

= 21 - 3

= 18

Answer:

18

Step-by-step explanation:

A right triangle has side lengths of a, b, and cunits. The longest side has a length
of c units. Complete each equation to show three relations among a, b, and c.
a. c² =
b. a^2=
c. 6² =

Answers

Answer:

[tex]\text{a. }c^{2} = a^{2} + b^{2}[/tex]

[tex]\text{b. }a^{2} = c^{2} - b^{2}[/tex]

[tex]\text{c. }b^{2} = c^{2} - a^{2}[/tex]

Step-by-step explanation:

Please refer to the attached figure in which [tex]\triangle ABC[/tex] is shown with sides a, b and c.

It is given a right angled triangle with sides a, b and c.  

And c is the longest side.

So, it is clear that 'c' is the hypotenuse of the triangle because hypotenuse is the longest side of a right angled triangle.

No condition is given about the base and height.

So, let 'a' be the height and 'b' be the base of triangle as shown in the attached figure in the answer area.

We know that, pythagoras' theorem holds true in every right angled triangle.

According to pythagoras' theorem:

[tex]Hypotenuse^{2} = Base^{2} + Height^{2}\\\Rightarrow c^{2} = a^{2} + b^{2} .......... (1)[/tex]

So, Answer [tex]\text{a. }c^{2} = a^{2} + b^{2}[/tex]

Using equation(1):

Answer [tex]\text{b. }a^{2} = c^{2} - b^{2}[/tex]

Also,  

Answer [tex]\text{c. }b^{2} = c^{2} - a^{2}[/tex]

I need help with this question please
Write an equation and solve. One telephone company charges $16.95 per month and $0.05 per minute for local calls. Another company charges $22.95 per month and $0.02 per minute for local calls. For what number of minutes of local calls per month is the cost of the plans the same?

Answers

Answer:

200 minutes

Step-by-step explanation:

16.95 + 0.05 x = 22.95 + 0.02 x

0.05 x - 0.02 x = 22.95 - 16.95

0.03 x = 6.00

x = 6.00 / 0.03 = 600 / 3 = 200

Answer:

200 minutes

Step-by-step explanation:

First you need to make two equations for the rates of each telephone company

The first equation will be y = 0.05x +16.95 and the second equation will be

y = 0.02x + 22.95

Then you need to set the two equations equal to each other in order to find where the number of minutes of local calls per month is the same

In the diagram below, OPis circumscribed about quadrilateral ABCD. What is
the value of x?
A. 80°
o
o
120-
B. 30°
C. 120
O O
D. 60°
SUEM MES
< PREVIOUS

Answers

Answer: The correct answer is D!!! 60

Step-by-step explanation:

The measure of the value of x from the given quadrilateral is 81 degrees.

Circle geometry

From the given diagram, the quadrilateral is inscribed in the circle.

USing the theorem; "the sum of opposite angle of a quadrilateral is 180degrees, hence;

x + 98 = 180

Subtract 98 from both sides

x + 98 - 98 = 180 -98

x = 180 - 98

x = 81 degrees

Hence the measure of the value of x from the given quadrilateral is 81 degrees.

Learn more on geometry here: https://brainly.com/question/20303542

#SPJ5

There is a bell at the top of a tower that is 45m high. The bell weighs 190 kg. How much potential energy does the bell have?

Answers

Answer:

  83.79 kJ

Step-by-step explanation:

The potential energy is the product of weight and height, where weight is in newtons.

  PE = Mgh = (190 kg)(9.8 m/s^2)(45 m) = 83,790 J

what is the value of x in the equation 4x - 5 = -33

Answers

Answer: [tex]x=-7[/tex]

Step-by-step explanation:

[tex]4x-5 =-33[/tex]

ad 5 to both sides

[tex]4x=-28[/tex]

divide both sides by 4

[tex]x=-7[/tex]

plug in x to double check

[tex]4(-7)-5=-33\\-28-5=-33\\-33=-33[/tex]

hope this helps :3

is 5/2 irrational or rational

Answers

5/2 is a rational because this can be expressed as a ratio or fraction. 5/2 in ratio can be written as 2.5

Sloane needs 2/3 hour to drive to her grandmother's house. It takes her 4 times as long to drive to her cousin's house. How long does it take to drive to her cousin's house? It takes ____ hours to drive to her cousin's house.

Answers

Answer:

8/3 hours

Step-by-step explanation:

Sloane drives for 2/3 hours to get grandmother's house

Inorder to arrive at her cousin's house she is required to drive 4 times longer

= 2/3 ×4

= 8/3 hours

Thus, Sloanne needs to drive for 8/3 hours inorder to reach her cousin's house.

X2+Y2−8X+6Y+21=0 Use the process of completing the square to rewrite the equation ​above as the equation of a circle in standard form , and identify the ​center and radius . ​ ​The center is at the point ( , ​ ) ​ The radius is

Answers

Answer:

Step-by-step explanation:

hello : here is an solution

Veronique and Lily compare their investment accounts to see how much they will have in the accounts after seven years. They substitute their values shown below into the compound interest formula. Compound Interest Accounts Name Principal Interest Rate Number of Years Compounded Veronique $1,000 5% 7 Once a year Lily $1,800 9% 7 Once a year A = P (1 + r) Superscript t Which pair of equations would correctly calculate their compound interests? Veronique: A = 1,000 (1 + 0.05) superscript 7, Lily: A = 1,800 (1 + 0.09) Superscript 7 Veronique: A = 1,000 (1 + 0.07) Superscript 5, Lily: A = 1,800 (1 + 0.07) Superscript 9 Veronique: A = 1,800 (1 + 0.05) Superscript 7, Lily: A = 1,000 (1 + 0.09) Superscript 7 Veronique: A = 1,000 (1 + 0.07) Superscript 5, Lily: A = 1,800 (1 + 0.07) Superscript 9

Answers

Answer:

Veronique: A = 1,000 (1 + 0.05) superscript 7, Lily: A = 1,800 (1 + 0.09) Superscript 7

Step-by-step explanation:

the equation used to calculate future value of an investment (or bank deposit) using compound interest is:

future value = present value x (1 + interest rate)ⁿ

Veronique: future value = $1,000 x (1 + 5%)⁷ = $1,057Lily: future value = $1,800 x (1 + 9%)⁷ = $3,290.47

Answer:

the answer would be A

Step-by-step explanation:

what the person above said.

what is the answer for 7-2x=3​

Answers

Answer:

x = 2

Step-by-step explanation:

-2x + 7 = 3

Subtract 7 from both sides

-2x = -4

Divide by -2

x = 2

(Negative divided by negative = positive)

Answer: x = 2

Step-by-step explanation: To solve for x in this problem, the first thing we want to do is subtract 7 from both sides of the equation in order to get our x term by itself.

On the left side, 7 - 7 cancels and here's the tricky part. An extremely common mistake would be to forget to bring down the negative leaving yourself with 2x on the left side.

Be very aware of this mistake so it doesn't claim you as a victim. On the right side of the equation, 3 - 7 is -4.

So we have -2x = -4.

Now divide both sides by -2 so x = 2.

Other Questions
Automobile racing, high-performance driving schools, and driver education programs run by automobile clubs continue to grow in popularity. All these activities require the participant to wear a helmet that is certified by the Snell Memorial Foundation, a not-for-profit organization dedicated to research, education, testing, and development of helmet safety standards. Snell "SA" (Sports Application)-rated professional helmets are designed for auto racing and provide extreme impact resistance and high fire protection. One of the key factors in selecting a helmet is weight, since lower weight helmets tend to place less stress on the neck. The following data show the weight and price for 18 SA helmets. W p 64 252 64 283 64 190 64 197 58 291 47 702 49 907 59 341 66 202 58 305 58 477 52 477 63 379 62 377 54 563 63 255 63 286 a. Develop a scatter diagram with weight as the independent variable. b. Does there appear to be any relationship between these two variables? There appears to be a - Select your answer -negativepositiveItem 2 linear relationship between the two variables. The heavier helmets tend to be less expensive. c. Develop the estimated regression equation that could be used to predict the price given the weight. The regression equation is (to 1 decimal and enter negative values as negative numbers). If your answer is zero enter "0". What are the causes and effects of the Industrial Revolution 40 points Why was Tubman denied a veterans pension after serving in the Union Army during the Civil War? What kind of economy does the United States have, and how is it different from Cuba's economy? 30 POINTS!!find 10 rational numbers between -2/3 and 2/3 Compare and Contrast James Madison and James Monroe Both parents can roll their tongue, yet their child cannot. What must the parent'sgenotype be?A. Parents must both be homozygous dominantB. Parents must both be homozygous recessiveC. Parents must both be heterozygousD. IDK A storage container that is in the shape of a rectangular prism has a volume of 60 cubic feet. What couldbe the dimensions of the container if one dimension is 3 feet and all dimensions are whole units?Select all that apply.A. 3 feet by 4 feet by 5 feetB. 3 feet by 3 feet by 5 feetC. 3 feet by 5 feet by 6 feetD. 3 feet by 2 feet by 10 feetE. 3 feet by 2 feet by 15 feet Which process releases oxygen into the atmosphere most quickly?o decayOaerobic respirationO weatheringo photosynthesis (point13. Prior to the arrival of the Spanish, Native Americans would likely havechosen which material with which to weave their blankets?oat woolsheep woolcotton This illustration shows a strand of mRNA and the complimentary tRNA molecules that can base pair with the mRNA codons. What is the correct sequence of amino acids? You buy $2,500of saving bonds at 1.7%interest.how many years will it take for your investment to equal $3000? Find the missing value in the equivalent ratio 18:27 = 16:___ NED HELP NOW 69 POINTS Are the graphs of the lines in the pair parallel? Explain,y = 3x - 174x - 6y = -6A.)Yes, since the slopes are the same and the y-intercepts are the same.B.)No, since the y-intercepts are different.C.)No, since the slopes are different.D.)Yes, since the slopes are the same and the y-intercepts are different. Factor the expression 4x + 32. Explain each step youtake in the process. For muscles or bone injuries, you should apply heat to the area as soon as possible to help with the swelling. True False What did the Chinese write on before they invented paper? a: silk and bamboo b: hides and leather c: seaweed and straw d: tree bark and leaves You have a bag of marbles that has 3 blue marbles and 4 red ones. What is the chance that you pick a blue OR a red marble? Who would most approve of the U.S. economic system and whyAdam Smith, John Maynard Keynes, or Karl Marx?i also need an original answer