a parabola has its vertex at 1,1 and passes through the point -2,-2. Find the equation of this parabola

Answers

Answer 1

Answer:

Step-by-step explanation:1/2 of answer is zero

Answer 2

Answer:

y=1/3x^2+4/3 x -2/3

Step-by-step explanation:

y=1/3x^2+4/3 x -2/3


Related Questions

solve the following simultaneous linear+y=3and3x-y=1​

Answers

Answer:

x=  4/3 and y=3

Please help!

Does this represent a linear function, non-linear function, or no function?

Answers

Answer: It would represent a linear function.

Step-by-step explanation:

Every time, the amount of blocks increase by 3, which would be the slope of it were on a graph, and it is constant. It’s not a quadratic nor an exponential function because it is not divided or multiplied at a certain factor, but it just adds by 3 each time.

Select the correct location on the image.
Shelly evaluated this expression using the order of operations, but she made a mistake. Which step includes Shelly's mistake?
2^2(3-8)divided by 5 - 1
Step 1
=2^2(-5)divided by 5-1
Step 2
4(-5) divided by 5 - 1
Step 3
-20 divided by 5 -1
Step 4
= -20 divided by 4
Step 5
= -5

Answers

Answer:

Step 4

Step-by-step explanation:

Given: Steps used by Shelly to evaluate the expression

To find: step that includes Shelly's mistake

Solution:

According to PEMDAS,

P denotes Parentheses

E denotes Exponents

M denotes Multiplication

D denotes Division

A denotes Addition

S denotes subtraction

Step 3 is [tex]-20\div 5-1[/tex] and step 4 is [tex]-20\div 4[/tex]

In step 4, first subtraction operation has been applied before the division operation.

There is a mistake in step 4 as according to PEMDAS, first -20 should be divided by 5 then 1 should be subtracted from the resultant number.

Answer:

Step 4 is correct for plato

Step-by-step explanation:

-20 divided by 4.

the graph shows the speed of a vehicle during the final 50 seconds of a journey at the start of the 50 seconds the speed is k metres per second

Answers

Answer:

a) 27 m/s

b) 30 m/s

c)   i) 3

     ii) Deceleration

Step-by-step explanation:

The question is not complete, the correct question is given as:

The graph shows information about the speed of a vehicle during the final 50 seconds of a journey.  At the start of the 50 seconds the speed is k metres per second.  The distance travelled during the 50 seconds is 1.35 kilometres.

(a) Work out the average speed of the vehicle during the 50 seconds

(b) Work out the value of k.

(c) (i) Calculate the gradient of the graph in the final 10 seconds of the journey

    (ii) Describe what this gradient represents

Answer:

The graph is attached. The total time = 50 seconds, total distance = 1.35 km = 1350 m  

a) The average speed is the ratio of the total distance traveled to the total time taken to cover this distance. The average speed is given by the formula:

[tex]Average \ speed=\frac{total\ distance}{total\ time}\\ Substituting: \\ Average \ speed=\frac{1350\ m}{50\ s} = 27\ m/s[/tex]

b) From the graph, the total distance covered is the area of the graph. The graph is made up of a rectangle and triangle, the area of the graph is equal to the sum of area of rectangle and area of triangle.

[tex]Total \ distance=Total\ area=Area\ of \ rectangle+Area\ of \ triangle\\Total \ distance=(length *breadth)+\frac{1}{2}base*height\\1350 \ m=(40*k)+0.5*10*k\\1350=40k+5k\\45k=1350\\k=1350/45\\k=30\ m/s[/tex]c) i) The gradient in the last 10 seconds is the ratio of change in speed to change in time

[tex]Gradient=\frac{change\ in\ speed }{change\ in\ time}=\frac{0-k}{50-40} \\ bt \ k=30\\Gradient=\frac{0-30}{50-40}= \frac{-30}{10} =-3[/tex]

ii) Since the gradient is negative it means it is deceleration. That is in the in the last 10 seconds the vehicle decelerates at a rate of 3 m/s²

Answer:

Step-by-step explanation:

a)34 m/s

b) 40k=34

k=34/40

k=0.85 m/s

Can anyone explain to me what I did wrong here? Thanks!

Answers

Answer:

B

Step-by-step explanation:

I think you are right

Hope it helps

Find the distance between the points.

(4,6),(9,6)

Answers

Answer:

5

Step-by-step explanation:

Find the difference between coordinates:

(x²-x1) = (9 - 4) = 5

(y²-y1) = (6 - 6) = 0

Square the results and sum them up:

(5)² + (0)² = 25 + 0 = 25

Now Find the square root

Need help with this question

Answers

Answer: 30

Step-by-step explanation: To solve this problem, we're going to have to use the Pythagorean theorem...

a² + b² = c²

24² + 18² = c²

576 + 324 = c²

c² = 900

[tex]\sqrt{900}[/tex]

30

30 = c

I hope this helps!

If v varies directly as w, and v=24 when w=8, find the equation that relates v and w.

Answers

Answer:

v = 3w

Step-by-step explanation:

Given that

v ∝ w

The, v = k w ---------------(1)

Where k is the constant of proportionality

Now, v = 24, w = 8

Putting in (1)

24 = k(8)

Dividing both sides by 8, we get

k = 3

Putting k =3 in (1)

v = 3w

This is the required equation connecting both

ANSWER:
It is given that v varies directly as w.
V=24 and W=8
So,simpler way is 24/8=3
As ratio is written in the form of p/q.
So,we can say that v=3w.
HOPE IT HELPS!!!!
PLEASE MARK BRAINLIEST!!!!

A quadrilateral-shaped land property is drawn on a coordinate grid. Two adjacent sides of the property lie along the lines y = 4x + 8 and y = – 0.25x – 9, with one corner of the property at the intersection point P of the lines. One of these sides ends at an oak tree located at (–1, 4) and the other side ends at a pine tree located at (4,–10).

What are the coordinates of the point where the two lines intersect?

Answers

Answer:

P(-4,-8)

Step-by-step explanation:

Given two lines:

[tex]y = 4x + 8;$ and $ \\y = -0.25x - 9[/tex]

To determine the point of intersection P of the lines, we equate the two lines and solve for (x,y).

[tex]4x + 8= -0.25x - 9\\4x+0.25x=-9-8\\4.25x=-17\\$Divide both sides by 4.25$\\x=-4\\$Recall:$\\y = 4x + 8\\=4(-4)+8\\=-16+8\\=-8[/tex]

Therefore, the intersection point P of the lines is: P(-4,-8)

can someone help and explain​

Answers

Answer:

12 4/3 =40

Step-by-step explanation:

I hope that help u

Alan weighs 3 pounds more than twice what Dylan weighs. Write an expression o represent Alan’s weight in terms of Dylan’s weight.

Answers

Answer:

2x+3

Step-by-step explanation:

2x+3=Alan's Weight

2x= Dylan's weight times two

+3= the plus three more pounds

Which then equals Alan's weight.

The interior angles of a triangle are 60,45and 75.the shortest side is 10cm less than the longest side, determine the perimeter of the triangle to the nearest cm.include a diagram please and thank you!!

Answers

Answer:

20 cm.

Step-by-step explanation:

We know that the permiter is defined as

[tex]P=L+S+M[/tex]

Where [tex]L[/tex] is the longest side, [tex]S[/tex] is the smallest and [tex]M[/tex] is the middle side.

If [tex]L=x[/tex] then, [tex]S=x-20[/tex], where we need to find an expression for [tex]M[/tex] using the law of cosines.

[tex]M^{2} =L^{2}+S^{2}-2 \times L \times S \times cos(60\°)\\M=\sqrt{x^{2}+(x-20)^{2}-x(x-20)}\\M=\sqrt{x^{2} +x^{2}-40x+400-x^{2}+20x}=\sqrt{x^{2}-20x+400}[/tex]

Replacing all expression, the perimeter is

[tex]P=x+x-20+\sqrt{x^{2}-20x+400}\\P=2x-20+\sqrt{x^{2}-20x+400}[/tex]

Using a calculator, the perimeter is 20 units centimeters.

It take 160 ribbons to make 4 football mums.What is the constant of proportionality that relates the number of football mums made ,y, to the number of ribbons used,x? A.40 B.1/10 C.80 D.1/4

Answers

Answer:

The constant of proportionality is [tex]\frac{1}{40}[/tex]

Step-by-step explanation:

We have a function that relate the number of football mums made to the number of ribbons needed, since they are proportional the function that relates the two variables is a linear function is shown below:

[tex]y = a*x[/tex]

The constant of proportionality is the number, "a", that relates the two variables. It was state that 160 ribbons make 4 mums, therefore:

[tex]4 = a*160\\a*160 = 4\\a = \frac{4}{160} = \frac{1}{40}[/tex]

The constant of proportionality is [tex]\frac{1}{40}[/tex]

What number is the arrow point at?

Answers

Answer:

see below

Step-by-step explanation:

The lines in between 2 and 3 are splitting it up into 5ths and because the arrow is pointing to the fourth one the answer is [tex]2\frac{4}{5}[/tex].

HELPPPPP PLZZZ
2) Tom can paint a fence in 12 hours. Huck can paint the same fence in 10 hours. How long would it take to put two coats of paint on the fence if Tom and Huck work together? Answer as an improper fraction, then round to 1 decimal place.

3) Kim and Josh can clean a house together in 3 hours. If it takes Kim 7 hours to clean the house by herself, how long would it take Josh to clean the house alone? Leave your answer in improper fraction form, then convert to a decimal.




4) Jack can mow the baseball grounds in 2 hours; Mike can mow the same grounds in 3 hours; and Chris can mow the grounds in 4 hours. How long will it take to mow the baseball grounds if Jack, Mike, and Chris work together?
Leave your answer in proper fraction form, then round to 1 decimal place.
Using your rounded answer, how many minutes would that be?


Answers

Answer:

1st answer

Step-by-step explanation:

Another way to say 2 coats is

to paint the fence twice

Also, that is the same as painting

2 identical fences

---------------

Tom's rate is:

+1%2F8+ = ( 1 fence ) / ( 8 hrs )

Huck's rate is:

+1%2F5+ = ( 1 fence ) / ( 5 hrs )

---------------------------

Let +t+ = the time in hrs for them

to paint 2 fences

+2%2Ft+ = ( 2 fences ) / ( t hrs )

---------------------------

+1%2F8+%2B+1%2F5+=+2%2Ft+

Multiply both sides by +40t+

+5t+%2B+8t+=+80+

+13t+=+80+

+t+=+6.154+

It will take them 6.154 hrs

2) They together will take 10.9 hrs or 120/11

3) josh will take 21/11 hrs or 1.9 hrs

4) Together they will take 36/13 or 2.8 hrs

Solutions to the above problem

2) Tom takes = 12 hrs

    Huck takes= 10hrs

We can aaply unitary method

together they will take= 1/12+1/10=2/t

11t=120;

t=120/11 or 10.9 hrs

3) Together kim and josh can clean the house together in = 3 hrs

   Kim takes = 7hrs

   Josh will take= 1/7+1/x=2/3

3x+21=14x

21=11x

x=21/11 or 1.9 hrs

4)  Jack makes baseball grounds in= 2 hrs

     Mike takes= 3 hrs

    Chris takes= 4 hrs

 Together they will take= 1/2+1/3+1/4=3/x

13x=36

x=36/13 or 2.8 hrs

To learn more about Unitary method refer to:

https://brainly.com/question/19423643

#SPJ2

Can someone plz help me

Answers

Answer:

33%

Step-by-step explanation:

- The area of the inner white circle is π4² = 16π

- The area of the blue "band" is π7² - π4² = 33π

- The total area is π10² = 100π

The ratio of the blue band and the total area is 33π/100π ×100% = 33%

PLEASE HELP ME WITH THIS FAST FOR BRAINLIEST!

Answers

Answer:

Correct answer = 20 miles

Step-by-step explanation:

The mistake she made was that she made was that she  multiplied the amount with 3 instead of dividing it.

The incorrect way -

$60 = 3 × 60 = 90 (Her multiplication is also incorrect as 3 × 60 = 180)

Corrected method -

$60 = [tex]\frac{60}{3}[/tex] = 20 miles

Hope you understood. Please mark my answer as the brainliest.

Seventy of Myra’s classmates are traveling by bus to a football game in another town. They hired 2 buses, but there were only 64 seats. The remaining 6 students had to travel in a separate van.

The equation 2b + 6 = 70 represents the given scenario. What does b represent?

Answers

Answer:

                                                                                                                                                     32

Step-by-step explanation:

2b+6=70

      -6=70-6=64

       [tex]\frac{2b}{2}[/tex]=64÷ 2

         b=32

beaten it's a visable line beween the equal line

For each pair of congruent triangles, name the corresponding parts then complete the congruence statement

Answers

Answer:

First one

Step-by-step explanation:

HELP! ITS ABOUT SURVEYSSS EXPLANATION NEEDED

Answers

Answer:

B is the correct answer (Check the explanation below)

Step-by-step explanation:

Probability of boys who do play = 1593/2451 = 0.6499 or 64.99% (if you times by 100 to change to percentage)

Probability of boys who do not play =858/2451 = 0.35 or 35%

Probability of girls who do play = 1361/2996 = 0.4542 or 45.42%

Probability of girls who do not play = 1635/2996 = 0.5457 or 54.57%

Probability of boys and girls who play = 2954/5447 = 0.5423 or 54.23%

Probability of boys and girls who do not play = 2493/5447 =0.4577 or 45.77%

you can see the correct statement is

Probability of girls who do play = 1361/2996 = 0.4542 or 45.42%

total number of girls is 2996 and we found out almost 54% do not play and almost 45% play

How do I do this 3x + 5.2 = 2 - 5x

Answers

Answer:

x = -.4

Step-by-step explanation:

3x + 5.2 = 2 - 5x

Add 5x to each side

3x+5x + 5.2 = 2 - 5x+5x

8x +5.2 = 2

Subtract 5.2 from each side

8x +5.2 - 5.2 = 2-5.2

8x = -3.2

Divide each side by 8

8x/8 = -3.2/8

x = -.4

Answer:

x= -0.4

Step-by-step explanation:

3x+5.2=2-5x

Add 5x to both sides

8x+5.2=2

Subtract 5.2 from both sides

8x= -3.2

Divide both sides by 8

x= -0.4

I just realized my answer is really similar to Wegnerkolmp2741o so sorry if it seems like I'm copying them.


A function models the growth of a sample starting with 40 bacteria with the ability to double every two hours. Which graph
models the function?

Answers

Answer:

The function is y = 40 * 2^(x/2)

The graph is in the image attached

Step-by-step explanation:

The function that models this growth is an exponencial function, that can be described with the following equation:

y = a * b^(x/n)

Where a is the inicial value, b is the rate of growth, x is the time and n is the relation between the time and the rate (the rate occurs for every two hours, so n = 2).

Then, using a = 40, r = 2 and n = 2, we have:

y = 40 * 2^(x/2)

If we plot this function, we have the graph shown in the image attached,

It is an exponencial graph, where the value of y increases very fast in relation to the increase of x.

Answer:

b

Step-by-step explanation:

edge2020

Ran's doctor is monitoring his heart rate. The equation h=65t represents the relationship between the number of beats of his heart (h) and the number of minutes that have passed (t). If 120 seconds have passed, how many times has his heart beat?

Answers

Answer:

130 times

Step-by-step explanation:

If you convert the time to minutes, 120 seconds is 2 minutes. Since Ran's heart beats 65 times a minute, you multiply 65 by 2 and get 130

Identify the polynomial. x3y3

Answers

Answer:

It's a Binomial

Step-by-step explanation:

At summer camp, some people collected pine cones.
1
2
3
4
5
6
Pine cones found


What is the range of the numbers?

Answers

Answer:

5

Step-by-step explanation:

The range is the largest minus the smallest; 6-1= 5

Plss brainliest

First, subtract the minimum from the maximum to find the range

6 - 1 = 5

so your range is 5

Hello, i would love help since math is my worst subject ;

Answers

Answer:

4,5,6

Step-by-step explanation:

(x)+(x+1)+(x+2)= 15

3x + 3 = 15

3x = 12

x = 4

Answer:

Three consecutive numbers are: 4, 5, 6,

Step-by-step explanation:

Let three consecutive numbers be x , (x +1) ,  (x +2 )

x + x + 1 +x + 2 = 15

3x + 3 = 15

3x = 15 - 3

3x = 12

x = 12/3

x = 4

Three consecutive numbers are: 4, 5, 6,

Figure A is a scale image of Figure B.
What is the value of x?​

Answers

Answer:

NEED HELP

Step-by-step explanation:

I DON'T KNOW?

EASY question for y’all mathy people, easy points! Question in photo.

Answers

Answer:

C - 13

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

No need

Gizela teaches 5 yoga classes that are each 3/4 hour. Use the drop down menu to complete the equation below to find the number of hours Gizela teaches yoga
5 classes _______ 3/4 hour per class = / hours ​

Answers

Answer:

3.75 hours (3 hours and 45 minutes)

Step-by-step explanation:

5 times 3/4 = 3.75

What is the value of i^n if the remember of n/4 is 2

Answers

Answer: 1

Step-by-step explanation:

If n/4 = 2, then n = 8

[tex]i^8 = i*i*i*i*i*i*i*i\\i*i=-1\\i^8=(-1)(-1)(-1)(-1) = 1*1 = 1[/tex]

Other Questions
profit on the dead(a) A man bought two books for Rs 1040. He sold one at a loss of 15% and other at a profit of 36%then he found that each book was sold for the same price. Find the cost price of each book. The Fine Point Company currently produces all of the components for its one product, an electric pencil sharpener. The unit cost of manufacturing the motor for this pencil sharpener is: Direct materials$1.75 Direct labor$1.65 Variable overhead$0.75 Fixed overhead$0.60 The company is considering the possibility of buying this motor from a subcontractor and has been quoted a price of $3.60 per unit. The relevant cost of manufacturing the motor to be considered in reaching the decision is: A consumer has $130 in monthly income to be spent on two goods Z and B. The price of good Z (Pz) is $8.00. The Marginal Rate of Transformation (MRT) is equal to minus2. That is 2 units of good B can be traded for 1 unit of good Z. What is the price of good B in $? What is the area of the figure?2ft1 1/3 ft1/3 ft5 ft Select the correct answer.Nathan likes to do some prewriting before he starts working on an essay. He starts with a visual technique, placing his topic at the center and grouping subtopics (such as words, phrases, concepts, etc.) around it. What is this prewriting technique called?A clusteringB. brainstormingC. outliningD. freewriting Latoya paid $17.64 for a 7.94-kg bag of dog food. A few weeks later she paid $18.88 for an $8.39-kg bag at a difference store. Find the unit price for each bag. Then state which bag is the better buy based off the unit price. Round your answer to the nearest cent What are examples of harmful mutations Simplify x^2-9/x^2+x-12 Abdul drove four trips that totalled 426 km. The second trip was 4 less than double the first. The third trip was double the second and the fourth trip was 18 more than triple the first. How far was each trip? Please help!!! What do you think Lyndon Johnson meant when he said that 'There is no Negro problem . . . There is only an American problem?" A qu niveles de organizacin de la materia pertenecen respectivamente la glucosa, la neurona, el corazn y el aparato circulatorio? By now, you should know that stress is something that can be controlled through diet and exercise. This article e describes other ways tokeep stress under control. Which of the recommendations in this article do you currently use to manage stress? If you don't use any of therecommendations, what other techniques work for you? If you don't use any stress-reduction techniques, write about one or more of therecommendations that you could foresee using in the future. Under what circumstances might you use the techniques? Your response tothese questions should be two to three paragraphs long, with about 50 to 100 words per paragraph. Which place correctly completes this sentence?Simn Bolvar fue el libertador de varias naciones enA.EuropaB.EspaaC.HispanoamricaD.Francia hey can anyone pls help me out in dis i will give 40 points!!! what is the difference between cells, tissues and organs plz answer this asap This graph shows how the length of time a bicycle is rented is related to the rental cost. What is the rate of change shown in the graph? A. 2 hours/dollarB. 4 hours/dollarC. $4/hourD. $2/hour Find the mystery number from the following clues. It is a two-digit number. It is a factor of 48. It is a multiple of 6. The sum of the digits is 3. Describe the differences seen in the properties of Boron and Nitrogen. Find two consecutive whole numbers that square root 109 lies between.