Which quadratic function is represented by the graph?

y = 0.5(x + 2)2 + 4
y = 0.5(x + 3)2 – 0.5
y = 0.5(x – 3)2 – 0.5
y = 0.5(x – 2)2 + 4

Answers

Answer 1

Answer: C

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (3, - 0.5), thus

y = a(x - 3)² - 0.5

To find a substitute either of the x- intercepts into the equation.

Using (4, 0), then

0 = a(4 - 3)² - 0.5 = a - 0.5 ( add 0.5 to both sides )

a = 0.5

y = 0.5(x - 3)² - 0.5 ← equation of quadratic function


Related Questions

What is 164.97 multiplied by 9.2


Someone please help!!!!!​

Answers

Answer:

1517.724

Step-by-step explanation:

Answer:

1517.724 would be your answer

A recipe uses 5 cups of milk to make 25 servings. If the same amount of milk is used for each serving, how many servings can be made from three quarts?​

Answers

2 or 2.4 because 3 quarts is 12 cups. Now if you want to make while servings you can make 2 whole servings. But for the usage of all cups you would make 2.4 servings

12/3=2.4

The total number of servings is given by the equation A = 60 servings

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total number of servings from 3 quarts be A

Now , the equation will be

The number of servings for 5 cups of milk = 25 servings

So , the number of servings for 1 cup = 25 / 5

The number of servings for 1 cup of milk = 5 servings

And , 1 quart = 2 pints

1 pint = 2 cups

So , 1 quart = 4 cups

And , 3 quarts = 12 cups

So , The number of servings for 3 quarts or 12 cups of milk = 12 x number of servings for 1 cup of milk

Substituting the values in the equation , we get

The number of servings for 3 quarts or 12 cups of milk A = 12 x 5

The number of servings for 3 quarts or 12 cups of milk A = 60 servings

Therefore , the value of A is 60 servings

Hence , the number of servings is 60

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Find the area of the composite figure below (help pls)

Answers

Answer:

189.25

Step-by-step explanation:

multiply 15 by 10 to find area of rectangle.

The area of rectangle is 150.

To find area of semicircle 1/2(pi r^2)

divide 10 by 2 to find radius, which is 5

area of semicircle would be 39.27

add 150 to 39.27

the answer is 189.27

189.25 is close enough so that is answer

!!ANYONE PLEASE HELP ME OUT!!!

Answers

First, we have 2 equations:
y = -x+6
y = 1/2x-6.
We can start with the first equation. The y intercept is 6, and I’m coordinate for (0,6). Plot this point first. Next we have the slope -x, or -1. This can be represented as -1/1 or 1/-1. For the first option, we go down by 1 unit and go to the right 1 unit. For the second option, we go 1 unit up and go 1 unit to the left. You can either pick option 1 or 2, and I’ll pick the first option. From our point (0,6), go down 1 unit and go 1 unit to the right. Keep going until you reach the end of the graph. Connect the dots and you have your line.
For the second equation, we have
y = 1/2x-6. Our y intercept is -6 and in coordinate form (0,-6). Plot this point. Next, from our second point, go up 1 unit and go 2 units to the right. Repeat this step until you reach the end of the line. Connect the dots and you have your line.
Hope this helps

What is the value of J, given that YZ I VX
9.1
9.2
9.3
9.4
9.6

Answers

Answer:

9.6

Step-by-step explanation:

As YZ is parallel to VX, then ΔWYZ ≅ ΔWVX

⇒ WX : WV = WZ : ZX

⇒ 5.6 : (5.6 + 8.4) : 6.4 : (6.4 + J)

[tex]\implies \dfrac{5.6}{5.6+8.4}=\dfrac{6.4}{6.4+J}x^{2}[/tex]

[tex]\implies 5.6(6.4 + J)=6.4 (5.6+8.4)[/tex]

[tex]\implies 35.84+5.6J=89.6[/tex]

[tex]\implies 5.6J=53.76[/tex]

[tex]\implies J=9.6[/tex]

How many congruent triangles are inside the pentagon and what is the Area of each triangles

Answers

Answer:

five congruent triangles

Step-by-step explanation: The area of the pentagon will be the sum of the five congruent triangles formed. The area of one of these triangles is equal to the side of the pentagon*height/2

hope this helps

Solve for x: −2x + 5 < 7 (1 point)
x > −1
x < −1
x > −6
x < −6

Answers

Answer:

x < −1

Step-by-step explanation:

-2x + 5 < 7

-2x < 7 -5-2x < 2x < 2 ÷ -2x < -1

charlie,Dan and ellie each made a paper chain. Charlie's was 9 1/2 feet long. Dans was 6 1/3 feet long and ellies was 8 1/3 feet long. when put together how long were the three chains?

Answers

Answer:

24 1/6

Step-by-step explanation:

Add together all values

-Make all denominators common, so 9 1/2 to 9 3/6 and 8 1/3 to 8 2/6 and

6 1/3 to 6 2/6.

Then add to get 23 7/6

Simplify

Abe, Ben, and Carl sold 9 biscuits for 25 cents each. They shared the money equally. How much money did each boy receive?

Answers

Answer:

$0.75 or 75 cents.

Step-by-step explanation:

9x0.25 = 2.25; 2.25/3 = 0.75.

!!!PLEASE HELP!!!

(Look at the image for the question and answer, it’s multi choice)

Answers

Answer:

4a^3

Step-by-step explanation:

Please check the attached photo.

please help with my problem

20 + 20 × 25²​

Answers

Answer:

12520

Step-by-step explanation:

Firstly , we need to find 25²

25 × 25 = 625

Then let us multiply before we add on ,

20 × 25² = 20 × 625 = 12500

12500 + 20 = 12520

And this is the final answer.

Question

20 + 20 × 25²

Answer:

Step by step explanation:

=20 + 20 × 25²

=20 + 20 × (25 × 25)

=20 + 20 × 625

=20 + 12.500

=12.520

results of 12.500 is 12.520

I hope this helps

Elena bought six guppies at the beginning of the month. One month later, the number of guppies in her
tank had doubled. Her guppy population continued to grow in this same manner. (16 pts.)
a. Create a function 9 to model the growth of the Elena's guppy population, where g(n) is the number
of guppies at the beginning of each month and n is the number of months that have passed since
she bought the six guppies.
g(n) =
(2 pts.)

Answers

The growth of the number of guppies is modeled by an exponential function

The function that models the number of guppies is [tex]g(n) =6(2)^n[/tex]

How to model the function

The initial number of guppies is:

a = 6

The rate of growth of the guppies is:

r = 2

An exponential function is represented as:

[tex]g(n) =ar^n[/tex]

So, we have:

[tex]g(n) =6(2)^n[/tex]

Hence, the function that models the number of guppies is [tex]g(n) =6(2)^n[/tex]

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HELP PLeas 15points
(1 gos with 3) (2gos with 4)

Answers

Answer:

Question 1: y=2x

Question 2: y=6x

Question 3 & 4: look at picture

(The equations are also in the picture to show you it is correct)

43 cause of the multi and divided parts

determine if the triangles are similar by side-side-side similarity

Answers

Answer:

Side-Angle-Side Similarity Theorem: If an angle of one triangle is congruent to an angle of a second triangle, and the sides that include the two angles are proportional, then the triangles are similar. Side-Side-Side Similarity Theorem: If the corresponding sides of two triangles are proportional, then the triangles are similar.

SOMEONE PLEASE HELP ILL MARK AS BRAINLIEST AND GIVE 5 STARSSSSS

Answers

Step-by-step explanation:

The first one has x going up by 2's and y going up by 1's. The second has x going up by 1's and y going up by 2's.

Match each sine or cosine value to its equivalent measure.
sin(16)
sin(106)
cos(137)
sin(123)
COS(58°)
COS(47°)
sin(33)
sin(32)
का
COS(749)
sin(43)
COS(579)
>

Answers

Using trigonometric identities, cos(74°) = sin(16°).

What are trigonometric identities?

Trigonometric Identities are the equalities that involve trigonometry functions and holds true for all the values of variables given in the equation.

Trigonometric Identity used-

cos(x) = sin(90-x)

cos(74°) = sin(90°-74°) = sin(16°)

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Answer:

In the image

Hope this helps!

Step-by-step explanation:

The production cost, represented by y, of a Bluetooth device, is equal to the product of labour cost (m) and number of devices (x) in addition to a constant equipment renting fee (q) 1.1 write an equation to represent the production cost in terms of m, x and q. 1.2 Change the subject of the formula in 1.1 to: 1.2.1 m; 1.2.2 q, 1.2.3 x. Determine the cost if labour amounts to R1,245, with an equipment renting fee of R250, to produce 5 devices. 1.4 Suppose the production cost is R 18,925, labour cost is and equipment renting fee is R250, determine the number of devices produced. 1.5 Hence, write down the equation with y as the subject (in terms of x). The value of m and q must e indicated. Discuss whether it is possible that any devices are produced if the production cost is R0,00. 1.7 It is required that the production cost must be less than R123 505. Determine the possible number of devices that will be produced. Show your solution graphically. Use interval notation and indicate the restriction on the number type of your answer. Interpret your answer

Answers

It should be noted that the equation to represent the production cost will be y = mx + q.

How to calculate the equation

From the information given, the production cost, represented by y, of a Bluetooth device, is equal to the product of labour cost (m) and number of devices (x) in addition to a constant equipment renting fee (q). This will be: y = mx + q.

Changing the subject of the formula to m will be:

y = mx + q

y - q = mx

m = (y - q)/x

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Which function(s) are linear? Select all that apply.
(please select one or more answers)
y = 6x^2+7
y =-1
y = 3/5x+1
y= 7.5x – 7

Answers

Answer:

3/5 x +1 and 7.5 x -7

Step-by-step explanation:

any equation in the form y= mx+b is linear the other 2 in this question are not in this form thus they are not linear

Two card are pulled from a normal deck of 52 cards, without replacement.
What are the odds of the two cards being a pair?

Answers

Answer:

The probability that both cards that are drawn are hearts is 1/17.

Step-by-Step-Explanation:

First off, know that there are 13 heart cards in the deck of 52 cards. Therefore, the chance of pulling a single heart card is 13/52. Let's say we do pull a heart card. Since there is no replacement for the heart card taken out of the deck, we now have 12 heart cards out of a deck of 51 cards. The chance of pulling out a heart card in now 12/51. To find the probability that both cards drawn out are hearts, multiply the two fractions together: (13/52)⋅(12/51)=156/2652=1/17.

So hence, your answer is 1/17

-----------------------------------——————---------------------------------------------------------

Thanks!

Answered by: FieryAnswererGT

#learnwithbrainly

Want to Thank me? JUST MARK ME BRAINLIEST! So simple!

Katrina walked 3 and 7/10 miles on Monday and 2 and 5/10 miles on Wednesday. How many miles did she walk in all?

Answers

Answer:

Hello

Step-by-step explanation:

The answer is 6 1/2

Brainliest if correct

Answers

Answer:

[tex]w^8[/tex]

Step-by-step explanation:

[tex]w^6*w^2\\w^{6+2}\\w^8[/tex]

Hope this helps!

writing numbers in words and standard form for 562,932​

Answers

five hundred sixty-two thousand nine hundred two

Answer:

The correct word form is:

Five hundred sixty-two thousand nine hundred thirty-two.

---

Thank you so much for participate in the community of Brainly.com

I hope help you :)

Kind regards, Antonio.

Imagine the center of the Ferris wheel is located at (0, 0) on a coordinate grid, and the radius lies on the x-axis. Write an equation of a circle for your Ferris wheel, and sketch an image of what your Ferris wheel would look like on the grid. Now graph a circle that is similar to the Ferris Wheel. Discuss the transformations needed to show that both circles on your graph are similar.

Answers

The transformation needed to show that both circles on the graph are similar is dilation

How to model the equation of the Ferris wheel

The equation of a circle that has its center to be (0,0) is:

[tex]x^2 + y^2 = r^2[/tex]

Where r represents the radius of the circle.

The radius can take any positive value.

Assume r = 5, then the equation becomes

[tex]x^2 + y^2 = 5^2[/tex]

[tex]x^2 + y^2 = 25[/tex]

The above can represent the equation of the Ferris wheel

A circle similar to the Ferris wheel can have the following equation

[tex]x^2 + y^2 = 7^2[/tex]

[tex]x^2 + y^2 = 49[/tex]

The above circle equation has a radius of 7, and it passes through the center

So, we have:

[tex]r = 5[/tex] -- radius of the Ferris wheel

[tex]R = 7[/tex] -- radius of the similar circle

Since both circles pass through the center, either of the circles can be dilated to the other

Read more about circle equations at:

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What kind of building material has the cheapest premiums?

Answers

Answer:

hey its me manisha

are there

Read the excerpt from The Boy Who Harnessed the Wind by William Kamkwamba. I spent the day combing through the books while Mrs. Sikelo graded papers at her desk. Despite the variety of titles, I left that afternoon with books on geography, social studies, and basic spelling—the same textbooks my friends were studying in school. It was the end of the term, and my hope was to get caught up before classes started again. At home I planted a thick blue gum pole deep in the ground near the mango tree out front, then made my own hammock out of knotted maize sacks. For the next three weeks, I began a rigorous course in independent study, visiting the library in the mornings, and spending the afternoons reading in the shade. What idea does the excerpt help develop? The author is dedicated and studious. The author is confused and overwhelmed. The author is planting and caring for trees. The author checks out many books.

Answers

The author is dedicated and studious

Whats the answer????

Answers

Answer:

22

Step-by-step explanation:

a = 14

b = 8

therefore, you just add that and get your answer

Maya can run 18 miles in 3 hours, and she can bike 18 miles in 2 hours. What distance did Maya travel if she ran for t hours and then biked for r hours?

PLS HELP FAST!!

Answers

Answer:

36

Step-by-step explanation:

If it is two hours then half of it is 9

18+9= 27 that's how many miles she bikes

6 is the number of miles she ran

So add them to get the total: 27+9= 36 hours

Question: Find the surface area of the prism. 12 in, 4 in, 3 in, 5 in, 6 in, 5 in

Answers

Answer:

i dont kno

Step-by-step explanation:

sorry just needed points

Question
11
Share £77 in the ratio 10 : 1

Answers

Step-by-step explanation:

10+1=11

10/11 × £77= £70

1/11 ×£77= £7

There are white, blue, and red boats in a marina. Five-sixths of the boats in the marina are white,
2
5
of the remaining boats are blue, and the rest are red. If there are 12 red boats, how many boats are in the marina?

Answers

120 , I think ......................
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