What is the vertex of this quadratic function? y=6(x+1)2-9 Please Help!

Answers

Answer 1

[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ y = 6(x+1)^2-9\implies y = 6[x-(\stackrel{h}{-1})]^2\stackrel{k}{-9}\qquad \qquad \stackrel{vertex}{(-1~~,~~-9)}[/tex]


Related Questions

What is the value of z?

Enter your answer in the box

Answers

Answer:

23 degrees

Step-by-step explanation:

The sum of the interior angles of a triangle = 180

z + 62 + 95  = 180

z = 23 degrees

the total deposist made over a time of periode

Answers

bro what.... finish the question...

what is the slope of the line that passes through -14, 13 and 7, 0

Answers

Slope = change in y / change in x


slope = (0 - 13) / (7 - -14)


slope = -13/28

If you deposit `\$300` in an account and it grows by `6\%` each year, how much money will be in your account after `1` year?

Answers

Answer:

$318

Step-by-step explanation:

6% x 300 = 18

300 + 18 = 318

[4+3]
2071 Q. No. 14 (0)
State Bolazano Weirstrass theorem. If A is any set in R then prove A = AUA'. [1+3]
2071 Q. No. 14 (ii) a
Define isolated point.
And find the isolated point for the set A = (0, 1){2}.
2072 Q. No. 2

Answers

The notation A = {0,1, 2} is an illustration of sets

The set A do not have isolated points

What is an isolated point?

An isolated point is an element of a set that belongs to a set A and any neighboring sets N, such that the set N do not contain other elements of set A

The isolated point for set A?

The set A is given as:

A = {0,1, 2}

The elements of the set A do not exists in other sets

So, we can say that set A do not have isolated points

Read more about sets at:

https://brainly.com/question/1563195

a triangle banner is to be made according to the specifications in the figure shown with dimensions given in inches. WOODEN STICKS WILL BE USED TO OUTLINE THE PERIMETER of the banner in order to attach the interior material. How many inches of wooden sticks will be required?

Answers

Applying the Pythagorean theorem, the amount of inches of wood required = Perimeter of triangle = 15 + 13 + 9 = 37 inches.

What is the Pythagroean Theorem?

The Pythagorean theorem is used to find a side of a right triangle, and it states that if c is the hypotenuse and a and b are the other legs, therefore: c² = a² + b².

Find the altitude/height of the triangle using the Pythagorean theorem:

height = √(13² - 5²)

height = 12

Also, use the Pythagorean theorem to find the missing side (part of the longest side of the main triangle):

missing side = √(15² - 12²) = 9

Amount of inches of wood required = Perimeter of triangle = 15 + 13 + 9 = 37 inches.

Learn more about the Pythagorean theorem on:

https://brainly.com/question/16176867


A polynomial function has – 5+ 3t as a root. Which of the following must also be a root of the function?

Answers

a

Radical roots occur as conjugate pairs

Given - 5 + t is a root , then

- 5 - t is also a root → a

Consider the sequence below:
-4, 2, 8, 14, 20, …
What explicit expression can be used to find the term x of this sequence?

Answers

Answer:

n+6=x

Step-by-step explanation:

Each number is six more than the previous number.  Adding six to the previous number, n, gets us the next term in the sequence, x.

You buy apple chips and banana chips in the ratio of 2 : 7. How many ounces of banana chips do you buy when you buy n ounces of apple chips?

Answers

Answer:

7/2  n    ounces of banana

Step-by-step explanation:

a / b = 2/7

re-arrange to

7/2 a = b

n ounces of apple would result in

7/2 n   = banana chip ounces

It is estimated that 60% of U.S. households subscribe to cable TV. You would like to verify this statement for your class in mass communications. If you want your estimate to be within 5 percentage points, with a 95% level of confidence, how many households should you sample

Answers

Using the z-distribution, as we are working with a proportion, it is found that you should sample 577 households.

What is a confidence interval of proportions?

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.

The margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

In this problem, the estimate is of [tex]\pi = 0.6[/tex], and we want a margin of error of M = 0.05, hence we solve for n to find the sample size.

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.05 = 1.96\sqrt{\frac{0.6(0.4)}{n}}[/tex]

[tex]0.05\sqrt{n} = 1.96\sqrt{0.6(0.4)}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.6(0.4)}}{0.05}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.6(0.4)}}{0.05}\right)^2[/tex]

[tex]n = 576.24[/tex]

Rounding up, you should sample 577 households.

More can be learned about the z-distribution at https://brainly.com/question/25890103

Factor out the greatest common factor 45d^3-18d^2

Answers

Answer:

9d^2(5d−2)

Step-by-step explanation:

Simplify: 4y + 3 +9y+ 6
O 13y + 9
O 22y
O 7y + 15
O 22

Answers

Answer:

13y+9

Step-by-step explanation:

You can add 4y and 9y because they are like terms , and the same for 3+6.

4y+9y and 3+6

13y + 9

hope this helps

Help picture below problem 16

Answers

Answer:

c²=a²+b². 13²=12²+b² 169=144+b². b² =√25=5

Step-by-step explanation:

13² = ?² + 12²

169 - 144 = ?²

√25 = ?

5 yards = ?

hey, can I have some help with this? I don't get it so let me know if you have an explentation. Thanks :)

Answers

I think the answer will be because 23 4 times 1/6

Answer: 250

Step-by-step explanation:

This problem is attempting to explain the distributive property to you.

The distributive property states that if you have the numbers a, b, and c:

[tex](a*c) + (b*c) = c * (a+b)[/tex]

In your specific case, this would look like this:

[tex](23+37) * 4\frac{1}{6}[/tex]

[tex]60 * \frac{(4*6)+1}{6}[/tex]

[tex]60*\frac{25}{6}[/tex]

To simplify, we factor a 6 out of the equation:

[tex]10*25 = 250[/tex]

NO LINKS + CORRECT ANSWER GETS BRAINLIEST

An auditorium has 9025 seats arranged in rows and columns. Each rows contains as many as the total numbers of rows . Find the numbers of rows in the auditorium .

Answers

Answer:

95

Step-by-step explanation:

9025 is a perfect square of 95. hence the number of rows is 95.

☃︎ Answer :-

95

☃︎ Solution :-

Let the nuber of rows be x Number of columns = Number of = x Number of seats = Number of rows × Number of columns = 9025

[tex]☞︎︎︎ \: x \: \times \: x = 9025[/tex]

[tex]☞︎︎︎ \: {x}^{2} = (5 \times 5) \: \times \: (19 \times 19)[/tex]

[tex]☞︎︎︎ \: {x}^{2} = {95}^{2} [/tex]

[tex]☞︎︎︎ \: x \: = \sqrt{ {95}^{2} } [/tex]

[tex]☞︎︎︎ \: x = 95[/tex]

SourCandyy シ︎

The blue dot is at what value on the number line?

Answers

Answer:
i believe the blue dot is -28

Convert the unit of length. Round the answer to one decimal place if necessary. 190 cm ≈ _____ ft
190 cm ≈ _____ ft?

Answers

Answer:

15.8

Step-by-step explanation:

I divided 190 by twelve and got 15.833333. The question said to round to one decimal place. So, I rounded to 15.8.

The height of 14-year-old boys in the United States is normally distributed with a mean of 64.5 in, and a standard deviation of 3.1 in.
Label the normal curve by entering the value at each standard deviation in the box.

Answers

Answer:

61.4-67.6 - 68.37% likely to fall within this range.

58.3-70.7 - 95.45% likely to fall within this range.

55.2-73.8 - 99.73% likely to fall within this range.

Step-by-step explanation:

If made $90.00 how much was paid hourly?​

Answers

Answer:

Made in how long of a workshift?

Step-by-step explanation:

how would the equation be written with an amplitude of 3 maximum of 4 minimum of -2 period of 4 and midline of 1 (Will report scams)

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Here we go ~

The required equation is :

[tex] \qquad \sf \dashrightarrow\: y = asin(bx) +k [/tex]

Now, let's find the required values :

period (p) = 4

[distance between any successive Crest or trough]

a = - 3 (flipped)

b = 2π/p = 2π/4 = π/2

k = 1

Distance of starting position from origin = k

Now, plug in the values ~

[tex] \qquad\dashrightarrow \sf\: y = -3sin(\frac{\pi}{2}x)+1 [/tex]

20 easy points fast ……………………….

Answers

b has infinite solutions

please help me in this mathematics questionplease help me in this mathematics questionplease help me in this mathematics question

Answers

The twenty units of potatoes illustrates the measure of central tendency  and probability

The modal weight, mean, and median

Start by sorting the dataset:

0.19; 0.28; 0.55;

0.62; 0.68; 0.77;

0.88; 0.89; 0.98;

0.99; 1.11; 1.22;

1.22; 1.22; 1.33;

1.44; 1.48; 1.68;

1.77; 1.99

The highest occuring element is 1.22 with a frequency of 3

The two middle elements are 0.99 and 1.11.

The mean of these two middle elements is: 0.5 * (0.99 + 1.11) = 1.05

The mean of the whole dataset is:

Mean = (0.19+ 0.28+ 0.55+ 0.62+ 0.68+ 0.77+ 0.88+ 0.89+ 0.98+ 0.99+ 1.11+ 1.22+1.22+ 1.22+ 1.33+ 1.44+ 1.48+ 1.68+1.77+1.99)/20

Mean = 1.06

Hence, the modal weight is 1.22, the mean is 1.06, and the median is 1.05

The probabilities

(a) at least 1.1 kg

There are 10 potatoes that weigh at least 1.1 kg.

So, the probability is:

P = 10/20

P = 0.5

(b) more than 3.5kg

There are 0 potatoes that weigh more than 3.5 kg.

So, the probability is:

P = 0/20

P = 0

(c) below 0.50kg

There are 2 potatoes that weigh below 0.50 kg.

So, the probability is:

P = 2/20

P = 0.1

The Variance of the weight.

This is calculated as:

Var = [tex]\sum[/tex](x - mean)^2/n

This gives

Var = [(0.19 - 1.06)^2 + (0.28 - 1.06)^2 + (0.55 - 1.06)^2 + (0.62 - 1.06)^2 + (0.68 - 1.06)^2 + (0.77 - 1.06)^2 + (0.88 - 1.06)^2 + (0.89 - 1.06)^2 + (0.98 - 1.06)^2 + (0.99 - 1.06)^2 + (1.11 - 1.06)^2 + (1.22 - 1.06)^2 + (1.22 - 1.06)^2 + (1.22 - 1.06)^2 + (1.33 - 1.06)^2 + (1.44 - 1.06)^2 + (1.48 - 1.06)^2 + (1.68 - 1.06)^2 + (1.77 - 1.06)^2 + (1.99 - 1.06)^2]/20

Evaluate

Var = 0.22

This means that:

The expectation of the squared deviation of the random variable from the mean is 0.22 kg

Read more about measure of central tendency at:

https://brainly.com/question/17631693

Answer:

0.22 kg

Step-by-step explanation:

probably extremely easy but would like a little explanation on doing this when it comes to this specific subject

Answers

Answer:

look at each pair. examine each notice exponents so you find the hidden gcf

Step-by-step explanation:

Find the volume of the oblique rectangular prism below. Round your answer to the
nearest tenth if
necessary.
1100
1115
1120
1135

Answers

Answer:

1100 units³

First calculate the Base Area:

parallelogram area:

Base * Height

11 * 10

110 units²

Volume:

Base Area * Length

110 * 10

1100 units³

Answer:

volume = 1100 cm³

Step-by-step explanation:

[tex]\textsf{Volume of an oblique rectangular prism}=l \cdot w \cdot h[/tex]

where:

[tex]l[/tex] is the base length[tex]w[/tex] is the base width[tex]h[/tex] is the height perpendicular to the base

Given:

[tex]l[/tex] = 11 cm[tex]w[/tex] = 10 cm[tex]h[/tex] = 10 cm

Substituting the given values into the formula:

[tex]\implies \textsf{Volume}=11 \cdot 10 \cdot 10 = 1100\: \sf cm^3[/tex]

A person invest $8800 in an account at 7% interest compounded annually. When will the value of the investment be 13,200? (Type an integer or decimal rounded two decimal places as needed)

Answers

Answer:

21.43

Step-by-step explanation:

Turn 7 percent to a decimal: 0.07

8800 × 0.07 = 616

13,200÷616=21.4285 etc

Round two decimal places

21.43

1. Solve 2(x + 1)^2 = 18. What are the x-intercepts?

Answers

Answer:

The x-intercepts are [tex](2,0)[/tex] and [tex](-4,0)[/tex].

Step-by-step explanation:

We are given the equation

[tex]2(x+1)^2=18[/tex]

Begin by dividing both sides of the equation by 2:

[tex](x+1)^2=9[/tex]

Next, take the square root of both sides. Remember that there are two solutions to a square root, the positive and the negative root:

[tex]x+1=\pm3[/tex]

Split the equation into two based on the two solutions:

[tex]x+1=-3[/tex]

[tex]x+1=3[/tex]

Solve each equation by subtracting 1 from both sides:

[tex]x=-4\\ x=2[/tex]

Since the x-intercepts are the solutions to a quadratic, we know the solutions are (2,0) and (-4,0).

The length of a rectangle is six times its width.
If the perimeter of the rectangle is 84 in, find its area.

Answers

Step-by-step explanation:

Length = 6x

width = let x be width

Perimeter = 84 in

Now

Perimeter = 2 ( l + b )

84 = 2 ( 6x + x )

84 = 2 × 7x

84 / 2 = 7x

42 = 7x

x = 42 / 7

x = 6

now

width = 6 yards

length = 6x = 6 × 6 = 36 yards

now

area = l × b

= 6 × 36 yd

= 216 yd²

Select all of the equivalencies
1/4=5/10
8/5=8/5
9/8=7/8
1/2=6/12
7/3=7/3
9/10=10/9

Answers

Answer:

8/5 = 8/5

1/2 = 6/12

7/3 = 7/3

Step-by-step explanation:

1/4=5/10

5/10 = 1/2

False

8/5=8/5

True

9/8=7/8

False

1/2=6/12

6/12 = =1/2

True

7/3=7/3

True

9/10=10/9

False

How do you write 9 1/10 as a decimal?) *

Answers

Answer:

Convert 9 1/10 to an improper fraction.

Decimal form

=9.1

Answer:

9.1

Convert [tex]9\frac{1}{10}[/tex] to [tex]9 + 1/10[/tex][tex]\frac{1}{10}[/tex] is the same as 1 divided by 10, which is 10, for this case 0.10Therefore, [tex]9 + 0.1 = 9.1[/tex]

There are other, more complicated ways to do this, but we must start with an easier, understandable way first.

__________________________________________________________

Questions?

Ask in the comments box.

Solve the system of equations.

−4x+11y=15
x=2y

Answers


Hope this helps ....... :)
Other Questions
8. What is m Which sentence about measuring angles is true? An angle that turns through 10 360 of a circle has a measure of 10. An angle that turns through 1 of a circle has a measure of 1. 12 An angle that turns through 10 360 of a circle has a measure of 36. 1) An angle that turns through 1 of a circle has a measure of 12. What are the answers for these questions Select the best topic sentence for a body paragraph explaining the character trait that makes Sherlock Holmes a respected detective. (2 points)Sherlock Holmes solved mysteries by focusing on facts instead of judgments.Sherlock Holmes solved mysteries that were very challenging and strange.Sherlock Holmes was a world-famous detective who lived in England.Sherlock Holmes was a friendly man who was liked by everyone who met him. answer this plsFill out the chart below with at least three principles of social work relative to different aspects. which table of inputs values, x, and output values, y, represents functionsselect each answer What is the equation of the line that is perpendicular two and has the same y-intercept as the line with (0,1) and (5,0) how many periods of the function y=tan x are there between -3pi/4 and 5pi/4? need help ASAP Answer number 11 please. Thank you. Leaves falling from a tree ,what is explanation What ethical issues did the product ford pinto violated explain brainly A signal can be sent from one location to another by running different colored flags up a flagpole, one above the other. There are 15 different colored flags to choose from but only 8 flags will be flown. Find the number of different signals consisting of 8, if the first flag must be blue.If the first flag is blue then the number of different signals consisting of 8 flags is ?? Explain how scientists foresee the fuel being used? why nepali's are good describe it 8.A microscopic view of a sheet of paper is shown in the diagram at theright. Would you expect this sheet of paper to cause light to undergoregular or diffuse reflection?Explain.9.From what type of surface do you think it would be easier to read?From pages, which are rough, or from pages which are smooth andglossy?Explain your answer.A microscopic viewof a sheet of paper.10. Driving at night offers a great example of diffuse vs. regular reflection. A dry road is a diffusereflector, while a wet road is not. On the diagrams below, sketch the reflected light off a wet and drysurface.Dry SurfaceWet SurfaceWhy would the wet road appear to the driver to be darker than the dry road?11. The diagram below contrasts the reflection of light off a smooth surface (left) with the reflection oflight off a rough surface (right). Compare the two diagrams and explain why the reflected rays for arough surface do not result in the formation of an image. BRAINLIEST!!! 50 POINTS!!Read the poem. Then, use shapes and lines to draw a picture of what you see in your mind as you read the poem.Down Highway 41by D.U. DerinoA few miles past the sundry storeDown Highway 41,A tiny little shack stands lonesome in the field.The structure appears out of placeLike a crop circle in a corn field,But at sundown its purpose reveals itself.As night rides in on its chariotIt carries with it people from throughout the county.Music fills the air.Sweet bluesAnd rockabilly.And the trials of the day melt awayAs the people dance and laugh and leave the world behindIn a shack a few miles past the sundry storeDown Highway 41. What was the name of the movement to relocate blacks to Africa?American Colonization Societyo Independent Africa MovementUncle Tom's CabinAfrican Colonization Society Upon what source did John Bunyan model his writing style in the pilgrims progress? When John F. Kennedy took office he believed his most urgent task as president was to do what Solve this inequality2x2 15x < 27