What is the y coordinate of the vertex of y = − x^2 − 6x + 1

Answers

Answer 1

Answer:

             y = 10

Step-by-step explanation:

The vertex coordinates of  f(x) = ax² + bx + c  is  (h, k)

where:   [tex]h=\dfrac{-b}{2a}\ ,\qquad k=f(h)[/tex]

f(x) = - x² - 6x + 1       ⇒  a = -1   b = -6

So:

     [tex]h=\dfrac{-(-6)}{2(-1)}=\dfrac6{-2}=-3\\\\y=f(h)=-(-3)^2-6(-3)+1=-9+18+1=10[/tex]


Related Questions

HELPPP FOR BRAINLEST PLEASE

Answers

Answer:

4th is correct

Step-by-step explanation:

As the object moves in forword direction

so F2 must have great magnitude.

HOPE THIS HELP YOU FOR ANY QUESTION PLEASE ASK ME

WORTH 25 POINTS AND WILL MARK BRANLIEST Write an expression that can be used to determine the final cost of the cards. ThE ANSWER IS 0.8268 JUST NEED AN EXPRESSION

Answers

Solve for X would be a great way like the person above me

Answer:

Solve for x

Step-by-step explanation:

The percentage change when a price is £20 decreased to £3

Answers

well, the difference is £20 - £3 simply £17.

now, if we take £20 to be the 100%, what is £17 off of it in percentage?

[tex]\begin{array}{ccll} \pounds &\%\\ \cline{1-2} 20 & 100\\ 17& x \end{array} \implies \cfrac{20}{17}=\cfrac{100}{x}\implies 20x=1700 \\\\\\ x=\cfrac{1700}{20}\implies x=85[/tex]

Find the midpoint of the segment with the following endpoints.
(-10, 2) and (-5, -1)

Answers

Answer:

(4, 5)

Step-by-step explanation:

answer:

(4,5)

step by step example

= In circle V, VW = 8 and m<WVX = 20°. Find the length of arch W X. Express your answer as a fraction times pi.​

Answers

The length of the arc WX is the number of units on the arc

The length of the arc WX is [tex]\frac{8}{9} \pi[/tex]

How to determine the length of the arc WX?

The given parameters are:

Central angle, m<WVX = 20 degrees

Radius, VW = 8

The length (L) of the arc is calculated as:

[tex]L = \frac{\theta}{360} * 2\pi r[/tex]

Substitute known values

[tex]L = \frac{20}{360} * 2\pi *8[/tex]

Evaluate the product

[tex]L = \frac{320}{360} \pi[/tex]

Simplify the fraction

[tex]L =\frac{8}{9} \pi[/tex]

Hence, the length of the arc is [tex]\frac{8}{9} \pi[/tex]

Read more about arc lengths at:

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the fee for ride tickets at a carnival is shown in the table at the right.

b. can you determine the fee of 30 ride tickets? explain.

Answers

27 $ would be the fee because 15 tickets plus 15 more is 30 so 13.50 + 13.50 = 27 :)

The fee for  30 ride tickets is 24.

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Fee for ride tickets at a carnival is shown in the table at the right.

5 tickets=5 fee

10 tickets=9.50 fee

15 tickets=13.50 fee

20 tickets=16 fee

We need to find the fee for 30 tickets.

Let x be the fee for 30 tickets

20/16=30/x

Apply cross multiplication

20x=480

Divide both sides by 20

x=24

Hence, the fee for  30 ride tickets is 24.

To learn more on Ratios click:

https://brainly.com/question/13419413

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Shannon wanted to get at least an 80% on her next test. The test was worth 50 points. How many points will Shannon need to get correct? a. 40
b. 25
c. 30
d. 62.5​

Answers

Shannon needs to get 40!

Solve the equation.
Round your answer to the nearest hundredth.
8 =-6.6(-8d – 10)

Answers

Answer:

d = -1.1

Step-by-step explanation:

Solving

❖ Step 1: Combine like terms.

[tex](-6.6)(-8d) + (-6.6)(-10) = 8[/tex] [tex]52.8d+66=8[/tex]

❖ Step 2: Subtract 66 from both sides.

[tex]52.8d+66-66=8-66[/tex] [tex]52.8d = -58[/tex]

❖ Step 3: Divide both sides by 52.8.

[tex]52.8d/52.8=-58/52.8[/tex] d ≈ -1.1

Therefore, d ≈ -1.1.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Brandi spent 25 mins, which is 5/8 of her class period taking notes. How long was the class period?

Answers

Answer:

The class period was 45 minutes long

Step-by-step explanation:

as you can see 5/8 of the class is 25 minutes, meaning that 1 = 5 if we multiply 8 times 5, it gives 45.

Answer: I believe your answer is 40 minutes for Brandi's class period.

Step-by-step explanation: For every 5 minutes she spends in class, it is 1/8 of her total period of class time. For example, she spent 25 minutes and has 15 minutes or 3/8 left of class.

What is the x-coordinate of the midpoint of line segment AB with points A(62, 5) and B(-46, -13).​

Answers

Answer:  5

Step-by-step explanation:

The x-coordinate of the midpoint of the segment is the average of the x-coordinates of the two endpoints.

Therefore, the x-coordinate of the midpoint of AB is the average of the x-coordinate of A and the x-coordinate of B.

We are given that the x-coordinate of A is 62 and of B is -42.

The average of 62 and -42 = (62-42)/2 = 10/2 = 5

What is the unit circle for sin60

Answers

0.86 .....................
0.87 I hope it helps you

Help pls. Help pls. Help pls.

Answers

Answer:

a

Step-by-step explanation:

all other options make no sense

Can someone help me with this? please and thanks <3​

Answers

Answer:

80.56%

Step-by-step explanation:

So to solve we have the new value over the original value. the new value being the day the 29 workers showed up, and the original value is the full labor force there, so 36.

we get the equation 29/36 which gives us 80.56%

Hope this helps, please rate 5 stars and give brainlest!

Shelly and Mickelle are making a quilt . They have a piece of fabric that measures 48 inches by 168 inches . All pieces of fabric must be none left over . What is the length of the largest square pieces into which shelly and mickelle can cut the fabric

Answers

Answer:

24

Step-by-step explanation:

Given the following :

Dimension of fabric = 48 by 168

What is the length of the largest square pieces into which shelly and mickelle can cut the fabric?

To obtain this, find the greatest common factor of both numbers in the dimension:

Using the table format:

___ _48 ____168

_ 2__24 ____ 84

_2__12 _____42

_2__6 _____ 21

_3__3______ 7

Since there is no number which can divide both anymore

The greatest common factor = (2 * 2 * 2 * 3) = 24

PLEASE HELP!

Add -[tex]\frac{4}{y}[/tex] + (-[tex]\frac{7}{8y}[/tex])

Answers

if u are evaluating its -25/8y

Members of the ninth grade class at Pine Ridge High School are organizing into service groups. What is
the minimum number of students who must participate for all students to be divided into groups of 4, 6, or 9 students
with no one left out?

Answers

Answer:

8

Step-by-step explanation:

There are several groups so there can't be just one. And the lowest number needed for a group is 4. So the minimum amount of people to participate would have to be 8.

Please help and explain how to do it (extra points)

Answers

Answer:

It is C

Step-by-step explanation:

So 3.75 is the rate of change, when she goes to get a drink it changes it subtracts the amount which Mia has which is $50. so we could put y=-3.75x+50 as the equation because for the number of drink she buys multiply by how much she cost will be the money she has to spend, so by subtracting by 50 her gift card will give how much money she will have in her gift card

Hope this helps

Answer: y= -3.75x + 50

Each drink costs Mia $3.75. Since spending money causes her to lose money, this value will be negative. Therefore, we will put -3.75x in the beginning of the equation.

Mia has $50 on a gift card. Since this amount is positive (she has a positive amount of money) and remains constant (the amount on the gift card won't change) we will put +50 at the end of the equation.

What is the volume of a rectangular prism with a length of 4.7 feet, a width of 1.5 feet, and a height of 1.6 feet? 7.1 ft³ 7.8 ft³ 8.65 ft³ 11.28 ft³

Answers

Answer:

its 11.28

Step-by-step explanation:

i took the quiz

Answer: Your answer is 11.28ft³

Step-by-step explanation:  4.7 x 1.5 x 1.6 = 11.28 also I did the k12 quiz here's proof.

Hope it helped :D

what's the ratio of 80:70

Answers

Answer:

8:7

Step-by-step explanation:

If you simplify 80/70 by 10,

80/10 = 8

70/10 = 7

you would get 8/7

Answer:

80:70 will be equals 8:7 divide to the lowest

HELP ASAP I GIVE 60 points total and big brain!!!! Solve the system of equations by substitution. If there is one solution, express it as an ordered pair. If there is no solution, write no solution. If there is an infinite number of solutions, write infinite number of solutions.



x−y=−5x
x−y=1/3

Answers

Solution:

Given:

x - y = -5xx - y = 1/3

Substitute the value of "x - y" into equation 1.

x - y = -5x1/3 = -5x

Divide -5 both sides.

1/3 ÷ -5 = -5x/-51/3 x 1/-5 = xx = 1/-15 = -1/15

Substitute the value of x into equation 2.

x - y = 1/3-1/15 - y = 1/3-1/15 - y = 5/15-y = 5/15 + 1/15y = -6/15 = -2/5

Putting the solutions in (x,y) form.

⇒ (x,y) ⇒ (-1/15, -2/5)

Answer:

  (x, y) = (-1/15, -2/5)

Step-by-step explanation:

You want to solve the system of equations by substitution:

x -y = -5xx -y = 1/3

Substitution

We can use the second equation to substitute for (x-y) in the first equation:

  1/3 = -5x

  -1/15 = x . . . . . . . . divide by -5

Substituting this value into the second equation, we have ...

  -1/15 -y = 1/3

  -1/15 -1/3 = y = -6/15 = -2/5

The solution is (x, y) = (-1/15, -2/5).

<95141404393>

If X divided by 3 equals -3 what is X?

Answers

Answer:

3(-3)= -9

x = -9

Step-by-step explanation:

-9 ÷ 3 = -3

Which table represents a linear function? ill give you brainliest if you’re right

Answers

The table at the bottom left

How do I solve 5/30 * 100

Answers

Answer:

16.67

Step-by-step explanation:

5/30 = 1/6

1/6 x 100 = 100/6

100/6 simplified is 16.67

Answer:

Use PEMDAS

Step-by-step explanation:

P-parenthesis ( )

E-Exponent

M-Multiplication *

D-Division /

A- Addition+

S-Subtraction -

so, first you would do 30 * 100= 3000

Then, you would do 5/3000=???

4(3m-2)=16m so what does m equal to?

Answers

Answer:

m= -2

Step-by-step explanation:

Answer:

m=2

Step-by-step explanation:

4×3m=12m

4×-2=-8

12m-8=16

16+8=24

24/2

=12

Hope this helps! :)

Michael needs to pay car insurance premiums of $958 two times per year. He has decided to make deposits from each paycheck to a savings account for ""Other Expenses (Predictable)"" to cover this expense. How much should Michael deposit from each paycheck if the paycheck is bi-weekly? a. $80 b. $74 c. $160 d. $37 Please select the best answer from the choices provided A B C D.

Answers

There is $74 Michael deposit from each paycheck if the payback os bi-weekly, the correct option is B.

What is the insurance?

The insurer and the insured get a legal contract for the insurance, which is called the insurance policy.

Given

Car insurance premium in a first half year = $958

Car insurance premium in the second half year = $958

Total Car insurance premium in year = 2 × $958 = $ 1916

Nature of paid premium is bi-weekly = in 2 weeks

There are total 52 weeks in a year.

The total number of bi-week = 26

Total deposited amount per bi-weekly is;

= $ 1916 ÷ 26 =$ 73.69 ≈ $ 74

Hence, there is $74 Michael deposit from each paycheck if the payback os bi-weekly.

To know more about insurance click the link given below.

https://brainly.com/question/9651115

5(x-3)=4(x-2) solve for answer

Answers

5(x-3)= 4(x-2)
5x - 15 = 4x -8
5x-4x= -8+15
x =7
the answer would be x=7

Please help!! If f (x) = e^x sin x, then f’ (x) =

Answers

Answer:

[tex] f'(x) = {e}^{x}( \sin x + \cos x ) [/tex]

Step-by-step explanation:

[tex]f(x) = {e}^{x} \sin x \\ \\ f'(x) = \sin x \frac{d}{dx} {e}^{x} + {e}^{x} \frac{d}{dx} \sin x \\ \\ f'(x) = \sin x \: {e}^{x} +{e}^{x} \cos x \\ \\ f'(x) = {e}^{x}( \sin x + \cos x ) [/tex]

HELP PLS!!!
Solve the inequality $x^3 + 4x > 5x^2$.

Answers

Answer:

de fk?

Step-by-step explanation:

wth is that

Product of 6 1 5 x 79

Answers

Answer:

615×79=48,585

Step-by-step explanation:

hope it helps

pls mark as brainliest

Matthew's dad hired him to paint 6 wooden patio chairs for $125. It takes him 9 hours to paint all of the chairs. If it takes the same amount of time to paint each chair, what fraction of an hour does it take Matthew to paint one chair? Justify your thinking with a model.

Answers

Given:

Matthew's dad hired him to paint 6 wooden patio chairs for $125.

Time taken by him to paint all of the chairs = 9 hours.

It takes the same amount of time to paint each chair.

To find:

The fraction of an hour does it take Matthew to paint one chair

Solution:

Total time = 9 hours

Total number of chairs = 6

Now, time taken by Matthew to paint one chair is

[tex]\dfrac{\text{Total time}}{\text{Total number of chairs}}=\dfrac{9}{6}[/tex]

[tex]\dfrac{\text{Total time}}{\text{Total number of chairs}}=\dfrac{3}{2}[/tex]

Therefore, Mattew takes [tex]\dfrac{3}{2}[/tex] of an hour to paint one chair.

Thinking with a model: On dividing the total time by total number of chairs we get time taken by Mattew (in hours) to paint one chair. So, the result represents the fraction of an hour taken by Matthew to paint one chair.

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