Write the standard form equation of the parabola that passes through (20,−40),if the vertex at the origin and the axis of symmetry is vertical.

Answers

Answer 1

Answer:

y = -0.1x^2

Step-by-step explanation:

Start out with vertex form

y = a(x - h)^2 + k

The vertex at the origin

Therefor (h, k) = (0, 0)

y = ax^2

use point (20, -40) to find a

-40 = a(20^2)

-40 = a(400)

Divide both sides by

400

-0.1 = a

Therefor

y = -0.1x^2

This is standard form with a = -.01 and both b and c equal to zero


Related Questions

A rectangular picture frame has a length that is 6 cm greater than the width. The total perimeter is 36
cm. What are the dimensions for the frame? Write an equation, solve and then fully answer the
question.

Answers

Answer:

Step-by-step explanation:

width= x

length= x+6

perimter  = 2x+ 2(x+6)

36= 2x+ 2x+ 12

36= 4x + 12

36-12= 4x

4x= 24

x= 6

therefore width= 6cm

length= 6+6 = 12

4 (m + 7) Which expression(s) is (are) equivalent to ? Select ALL that apply.

Answers

Answer:

here's your answer tho: ∞

Step-by-step explanation:

Order the ratios from least to greatest:
5:16; 3/8; 2 to 6; 4/15; 12:40
Use a semi-colon to separate each ordered ratio.

Answers

Answer:

13:6 ; 9:4 ; 5:2 ; 20:7 ; 10:3

Step-by-step explanation:

a. Complete the table to chart his calorie expenditure for different amounts of time.
Time (minutes)
to
5
45
30
120
20
80
75
15
Calories Burned
to
20
9
b. Plot the table of values on the graph.
X/
x9
400f%
300
Calories Burned
200
100
20
10 20 30 40 50 60 70 80 90 100
Time (minutes)

Answers

Answer:

you are missing the values; 25, 50, 90, and 105

Solved by using - Guv=8piG(Tuv+P^Guv)

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan. Click the trashcan to clear all your answers.
Place the indicated product in the proper location on the grid.
6xy(3x2 - xy + $x2)
III
у
Х
y
a b cx y
1234567890
Z

Answers

Answer:

2345677888yffycchujbvfsxbjydcbtscno

What is the HCF of two consecutive odd numbers?​

Answers

Answer :

1 one, it's one hoped this help !

The HCF (Highest Common factor) also called the GCF (Greatest Common Factor) of two consecutive odd numbers is 1. Hope this helps!

~Just a joyful teen

[tex]GraceRosalia[/tex]

9. plsss help, will give brianlist

Answers

Answer:

[tex]1. \: \: \: \: \frac{1}{5} \\ 2. \: \: \: \: - \frac{3}{2} \\ 3. \: \: \: \: \frac{1}{2} [/tex]

Step-by-step explanation:

1. In the first diagram we simply count the number of squares along the rise and the number of squares along the run as slope equals rise/run

2. we use the slope formula

[tex] \frac{y2 - y1}{x2 - x1} = \frac{ - 2 - 1}{ 1- ( - 1)} = \frac{ - 3}{2} = - \frac{3}{2} [/tex]

3. pick any two points and apply the slope formula again

[tex]( - 1. \: \: 1) \: and \: (3. \: \: 3) \\ \frac{3 - 1}{3 - ( - 1)} = \frac{2}{4} = \frac{1}{2} [/tex]

According to the following image, what is the length of ST?

Answers

Answer:

-4 to 8 I this so but not sure

Solve for n.
ples help me solv for n

Answers

Answer: 50 miles per hour

Step-by-step explanation: It is that because when the line passes on the one hour mark it is 50.

Show your work!!
Solve for missing angle

Answers

A triangle equal 180 degrees.
So, you do 80 + 35 + x = 180
115 + x = 180
180-115= 65
the answer is 65 degrees

Which of the following are remote interior angles of angle 1? Check all that apply

A. <5

B. <2

C. <3

D. <1

E. <4

F. <6

Answers

Answer:

The answer would be 6 and 4.

Step-by-step explanation:

Because when they mean remote interior, they are hinting that the interior angles that are not close to 1. We cannot choose 3 in this situation because it is adjacent to angle 1.

50 points need awnserd asap
A store manager wishes to investigate whether there is a relationship between the type of promotion offered and the number of customers who spend more than $30 on a purchase. Data will be gathered and placed into the two-way table below. Customer Spending by Promotion Run Customers Spending More than $30 Customers Spending $30 or Less $10 off $50 15% off $5 off $25 Buy-1-Get-1 Half Off Which statement best describes how the manager can check if there is an association between the two variables? The manager must check relative frequencies by row because there are more than two different promotions. The manager must check relative frequencies by column because there are more than two different promotions. The manager cannot use relative frequencies to look for an association because there are more than two different promotions. The manager should check both relative frequencies by row and by column to look for an association.

Answers

The manager should check both relative frequencies by row and by column to look for an association.

Carpenter Chalberg is building a new wall in his house. The wall is 8 feet long and 8 feet tall. The wall will be framed with wood and also have studs (vertical supports) at least every 18 inches. The wall has no doors or windows. He is looking to purchase enough 8 foot boards of wood to make the wall’s frame. How many boards will Carpenter Chalberg need?

Answers

9514 1404 393

Answer:

  9

Step-by-step explanation:

For studs 16" O.C., Chalberg will need 9: one at the beginning of each of the 16" spaces in the 96" width of the wall, and one at the end. That's a total of 6+1 = 7 studs.

The top and bottom edges of the wall are each 8', so will require 1 more board each.

The total number of boards Chalberg needs is 9.

4. As Jody dives below the water, its temperature decreases by 0.3 degrees Fahrenheit per foot that he dives. If
Jody is diving at a rate of 2.5 feet per second and the water at the surface is at a temperature of 68 degrees
Fahrenheit then what is the temperature of the water Jody is in after diving for 20 seconds?
(1) 48
(3) 57
(2) 53
(4) 83

Answers

Answer:

83

Step-by-step explanation:

The temperature of the water Jody is in after diving for 20 seconds is 53.

Given that,

The temperature should be decreased by 0.3 degrees.The rate should be 2.5 feet per second and the temperature of 68 degrees.And, the time taken is 20 seconds.

Based on the above information, the calculation is as follows:

[tex]= 68 - (2.5\times 20\times 0.3)[/tex]

= 68 - 15

= 53

Therefore we can conclude that the temperature of the water Jody is in after diving for 20 seconds is 53.

Learn more: brainly.com/question/20459283

??
What is the asnwer plsssss

Answers

The answer is 7/2 pi

The arc length is 7/2 pi.

Sarah weighs 146 pounds . How many ounces does Sarah weight

Answers

Answer:

2336 Ounces

Step-by-step explanation:

1 Pound has 16 Ounces so Multiply 146*16 to get the number of ounces.

146*16=2336 Ounces

0.54 + 0.27 = ___

0.71
0.81
0.92
0.98

Answers

Answer:

0.81

Step-by-step explanation:

hopes that helps.......

Place value of 4 in 23,56,456 is​

Answers

It is in the hundreds place. pls mark me as brainliest!

Answer:

Hundreds

Step-by-step explanation:

Standard Form:

2,356,456

Place Value:

From left to right for 2,356,456

Digit Place Value

2 Millions

3 Hundred Thousands

5 Ten Thousands

6 Thousands

4 Hundreds

5 Tens

6 Ones

Word Form:

2,356,456 =

two million three hundred fifty-six thousand four hundred fifty-six

The number name of 98745632 in indian system ​

Answers

Answer:

nine crore eighty seven lakh forty five thousand six hundred thirty two is the answer

Who ever answers first will be marked brainliest

Answers

Answer:

The answer is x≥9.

Step-by-step explanation:

Answer:

x≥9

Step-by-step explanation:

this is the answer all you have to do is solve it

In a recipe, for every tablespoon of sugar there are four teaspoons of salt. If a batch uses twelve tablespoons of sugar, how many teaspoons of salt does it use?

Answers

4*12= 48
The answer is 48

a angle is measured in​

Answers

Angles are measured in degree’s, the symbol for degree’s is a little circle (x °)

Question 7
Maya, Tom, and Greg sent a total of 153 text messages over their cell phones during the weekend, Greg sent 9 fewer messages than Maya,
Tom sent 4 times as many messages as Greg, How many messages did they each send?

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The messages sent by them are ~

Maya = 33 messages

Greg = 24 messages

Tom = 96 messages

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Let the number of messages sent by Maya be x,

messages sent by Greg = x - 9

messages sent by Tom = 4(x - 9)

and, total number of messages sent by them all together is equal to ~ 153

that is ~

[tex]x + x - 9 + 4(x - 9) = 153[/tex]

[tex]2x - 9 + 4x - 36 = 153[/tex]

[tex]6x - 45 = 153[/tex]

[tex]6x = 153 + 45[/tex]

[tex]6x = 198[/tex]

[tex]x = 198 \div 6[/tex]

[tex]x = 3 3[/tex]

Hence, the messages sent by them are ~

Maya = x = 33

Greg = x - 9 = 33 - 9 = 24

Tom = 4(x - 9) = 4 × 24 = 96

Let Maya send m

Greg send m-9

Tom sent 4(m-9)

ATQ

m+m-9+4(m-9)=1532m-9+4m-36=1536m-45=1536m=153+456m=198m=33

Greg=33-9=24

Tom=4(24)=96

A quality control engineer inspects a random sample of 3 batteries from each lot of 24 car batteries that is ready to be shipped. If such a lot contains six batteries with slight defects, what is the probability that the inspector's sample will contain none of the batteries with defects

Answers

Answer:

10

Step-by-step explanation:

The probability of getting a sample without any defect is 1 / 6.

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of sample

Given that a quality control engineer inspects a random sample of 3 batteries from each lot of 24 car batteries that are ready to be shipped.

Total batteries = 24

Total non-defective batteries = 24 - 6 = 18

Probability = Number of favourable outcomes / Number of sample

Probability = 3 / 18

Probability = 1 / 6

Therefore, the probability of getting a sample without any defect is 1 / 6.

To know more about probability follow

https://brainly.com/question/24756209

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The population of a city decreases by 0.9% per year. If this year's population is 338,000, what will next year's population be, to the nearest individual?​

Answers

Answer:

The population will be 334,958.

Step-by-step explanation:

Multiply 338,000 by 0.009 to get the answer. The reason is to multiply by a percentage, you move the decimal two spots to the left. For example, 0.9 -> 0.009.  Another would be 3 -> 0.03.

Please help me I only have 10 points left so ten points I’ll give please help thank you I’ll give brainless to the first person

Answers

Answer:

It would be g(x) = 2^-x

Step-by-step explanation:

whats nine plus 10 ;)

Answers

Answer:

19

Step-by-step explanation:

9+10=19

please mark me brainliest

Answer:

21 ^^

jk jk lol 19 >->

but reality... i believe it's 2356486513

There are twice as many gray kittens than white
kittens. There are 4 white kittens. How many gray
kittens are there?

Answers

Answer:

8 gray kittens

Step-by-step explanation:

There are double the amount of grey kittens compared to white kittens so, you would do 4 × 2 which is 8. There are 8 grey kittens.

Hope this helps!

try to determine which set of digits ends product three consecutive natural numbers?​

Answers

Answer:

0, 4, 6

Step-by-step explanation:

1 * 2 * 3 = 6

2 * 3 * 4 = 24

3 * 4 * 5 = 60

4 * 5 * 6 = 120

5 * 6 * 7 = 210

6 * 7 * 8 = 336

7 * 8 * 9 = 504

etc.

Answer: 0, 4, 6

fifteen minutes past eight in the evening on a 24 hour clock​

Answers

Answer: The time is 20:15 on a military time clock.

Step-by-step explanation:

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