write the formula of the parabola that has x-intercepts (1.3,0) and (-1.3,0), and y-intercept (0,169)

Answers

Answer 1

Answer:

y= 169 −  [tex]100^{2}[/tex]

Step-by-step explanation:

Answer 2

A parabola is a symmetrical plane curve that forms when a cone intersects with a plane parallel to its side.

Standard form of a quadratic function represent a parabola.

The equation of parabola is [tex]y=-x^{2} +1.69[/tex]

Parabola:

We have to find the formula for the parabola that has x- intercepts  [tex](1.3,0)[/tex] and [tex](-1.3,0)[/tex], and y- intercept [tex](0,1.69)[/tex]

So that, the intercept form of the quadratic equation is;

                    [tex]y=a(x-p)(x-q)[/tex]

where [tex](-1.3,0)=(p,0)[/tex]  and [tex](1.3,0)[/tex] is[tex](q,0)[/tex].

Since, with the vertex being at the y axis and the intercepts at the x axis means that the parabola opens down.

So that,

           [tex]1.69=a(0+1.3)(0-1.3)\\ \\1.69=-1.69 a\\ \\a=-1[/tex]

Substituting value of a in above equation.

           [tex]y=-1(x+1.3)(x-1.3)\\\\y=-1(x^{2}-1.69 )\\\\y=-x^{2} +1.69[/tex]

Hence, the equation of parabola is [tex]y=-x^{2} +1.69[/tex]

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Related Questions

Mr. Dilbert's rectangular swimming pool is surrounded on all sides by a 4-foot wide brick walkway, as shown below.
WALKWAY
19 feet
5 feet
What is the area of the walkway?
A 192 ft2
B. 247 ft? C . 96 ft2 D. 302ft2

Answers

Answer:

Step-by-step explanation:

The area of the walkway will be 96 square feet. The correct option is C.


What is the area of the rectangle?

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

Given that the dimensions of the crosswalk are,

19 feet

5 feet

The area of the cross-walk will be calculated as below,

Area = Length x Width

Area = 19 x 5

Area = 96 square feet

Therefore, the area will be equal to 96 square feet.

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A rectangle with an area of 37 units2 is dilated by a scale factor of 2. Find the area of
the rectangle after dilation. Round your answer to the nearest tenth, if necessary.

Answers

Answer:

74

Step-by-step explanation:

37x2=74

Which solid has the top, the side, the front views given?

Answers

Answer:

The answer is H

Step-by-step explanation:

the right answer is h

what is 92.471 to the nearest tenth

Answers

Answer:

92.75

Step-by-step explanation:

tenth spot is to right of decimal round up or down depending on the next number

The answer is 92.5. It rounds to 92.5 instead of 92.4 because the 0.07>0.05

Find the value of the third quartile (the median of the upper half of the data set). 52, 54, 55, 55, 57, 58, 59, 59, 61, 61, 61, 62, 63, 63, 64, 65, 65, 68, 70, 72 i need it instantly cause i have that question pulled up

Answers

Answer:

64.5

Step-by-step explanation:

You understand the question, and already have the numbers in order, you're almost there!

So you need to find the median first so you can divide the data set into the upper and lower halves. The median, as you probably know, is the center of the data. What I do for this is list all the numbers out in order, like you've already done, and start crossing them out, one at a time, alternating the sides. I'll show you what I mean. (I'm using underline because there's no strikethrough.)

52, 54, 55, 55, 57, 58, 59, 59, 61, 61, 61, 62, 63, 63, 64, 65, 65, 68, 70, 72

52, 54, 55, 55, 57, 58, 59, 59, 61, 61, 61, 62, 63, 63, 64, 65, 65, 68, 70, 72

52, 54, 55, 55, 57, 58, 59, 59, 61, 61, 61, 62, 63, 63, 64, 65, 65, 68, 70, 72

52, 54, 55, 55, 57, 58, 59, 59, 61, 61, 61, 62, 63, 63, 64, 65, 65, 68, 70, 72

52, 54, 55, 55, 57, 58, 59, 59, 61, 61, 61, 62, 63, 63, 64, 65, 65, 68, 70, 72

...and so on, until you have:

52, 54, 55, 55, 57, 58, 59, 59, 61, 61, 61, 62, 63, 63, 64, 65, 65, 68, 70, 72

Because there's an even number of numbers, the median is the mean of the middle two numbers. Luckily, though, the two numbers in the middle are the same:61. Mean is calculated by adding the terms and dividing by the number of terms. In this case:

(61+61)/2

=61

(You didn't really have to do this mean step, but I'll explain later.)The median is 61. Another way you could have done this is by just counting the number of terms (20) and finding the middle one. Again, since there's no middle one, you'd have to find the mean.

Since you're looking for the third quartile and not the median, you didn't exactly have to do that step. I just wanted to explain how to calculate the median, since you'll have to do it in the next step. All we had to do here was divide the data set into the halves, so we used that visual demonstration by underlining the numbers one at a time. We didn't have to find the mean, we could have split the set down the middle instead.

52, 54, 55, 55, 57, 58, 59, 59, 61, 61, | 61, 62, 63, 63, 64, 65, 65, 68, 70, 72

                                                             ^median/half-way point

We could have also divided the number of terms (20) by 2 (because halves, 2 parts) to get 10 and used the upper 10 values of the set, but I don't know, the crossing out method helps me. Anyway, now we have to look at just the upper 10 values:

61, 62, 63, 63, 64, 65, 65, 68, 70, 72

And you repeat the process! (I'm not going to show the underlining though lol)

There are 10 terms, so the median is between the 5th and the 6th. (10/2=5)

61, 62, 63, 63, 64, 65, 65, 68, 70, 72

This is what I was talking about, there are an even number of values in the upper half of the data set as well, so we have to find the mean of the middle 2: 64 and 65.

 (64+65)/2

=129/2

=64.5

That's your final answer. Hope I could help you!

Answer:

64.5

Step-by-step explanation:

i just answered and got it right

Find the value of x. Simplify in simplest radical form.

Answers

Answer:

x is 13.03

Step-by-step explanation:

Start by determining the length of the horizontal side of one of the triangles shown.  The Pythagorean Theorem applies here:

(horizontal side)² + 17² = 19², so that:

(horizontal side)² + 17² = 19² - 17², or 72

Then the length of the horizontal side is +√72, or √36√2, or 6√2.

From the diagram it is obvious that the width of the rectangle, x, can be found by subtracting twice the length of the horizontal side of one of the triangles from 31 (base of the entire figure):

x = 31 - 2(6√2) = 13.03

x is 13.03


PLS HELP! DUE TODAY AND WILL MARK BRAINLIEST
3. Find x.
Find the value of x.

A) 3.5
B) 7
C) 7.5
D) 10


Answers

Answer:

I believe the answer is D: 10

Step-by-step explanation:

If the other line is 2 segments of 5 and from the center to both lines is the same then x and the other line should be equal

WHOEVER ANSWERS I WILL MARK BRAINLIEST

Answers

Answer:

B

Step-by-step explanation:

Prime Factorization involves breaking down a number into prime numbers (aka numbers that can only be divided by itself and 1)

36

9  x  4

(3x3) x (2x2)

Hope that helps!

Lets multiply all the choices so we can see if it all multiplied is 36.

A) 2 • 2 • 2 • 3

   4 • 2 • 3

   8 • 3

   24

B) 2 • 2 • 3 • 3

   4 • 3 • 3

   12 • 3

   36

C) 2 • 3 • 3 • 3

   6 • 3 • 3

   18 • 3

   53

D) 1 • 2 • 2 • 3

   2 • 2 • 3

   4 • 3

   12

The answer is B! I hope this helps.

MARKING BRAINLIST IF THESE TWO ARE ANSWERED‼️‼️‼️

Answers

Anime club: 500 - 30y

Computer club: 150 + 20x

*you could use any letter(variable) you like*

21^3 times 4^2 brainly for the correct n nice answer

Answers

Answer:

148176

Step-by-step explanation:

Answer:

148176

Step-by-step explanation:

21^3 = 9261

4^2 = 16

9261 × 16 = 148176

brainliest is appreciated

what is the value of X in degrees?

Answers

3,50 degrees hope This heal

7. One pint is equal to 2 cups. Gavin's
recipe lists a cup of milk. How many
pints of milk is this?
Answer quick PLZZ no website

Answers

Answer:

1/2 pint or 0.5 pint

Step-by-step explanation:

1 pint = 2 cups

(1 pint)/2 = 1 cup

1/2 pint = 1 cup

1/2 pint or 0.5 pint

Please help ty :)

The value of x is___
and the value of y is___

Answers

Answer:

x = 60

y = 50

Explanation:

in a triangle, the sum of all its angles should be 180°. so, to find x, we can subtract the known values from 180° like this:

180° - 50° - 70° = 60°

thus, x is 60.

using the same method, we can find the remaining angle of the other triangle:

180° - 50° - 60° = 70°

now, we know the values of x and the angle next to it. on a straight line, the sum of angles also adds up to 180°. therefore:

180° - 60° - 70° = 50°

i hope this helps! :D

the population of a village is 2250.

32% of the population are children. Calculate the number of children in the village. Show working?

Answers

Do 32% by dividing 2250 by 32

Answer:

720 children

Step-by-step explanation:

good day. I think that's the answer hope it helps you.

Someone help me please

Answers

Answer:

x=4

Step-by-step explanation:

The value of x is 4 so x=4

If the perimeter of a square is 20 cm, what is its area?

Answers

Answer:

25cm

Step-by-step explanation:

each side is 5cm so multiple 5cm times 5cm then you get 25cm

Answer:

25cm^2

Step-by-step explanation:

P=4a

20=4a

a=5

A=a^2

A=5^2

A=25 cm^2

In a company's first year in operation, it made an annual profit of \$333,500$333,500. The profit of the company increased at a constant 8% per year each year. How much profit would the company make over the course of its first 24 years of operation, ?

Answers

P × R × T ÷ 100

333,500 × 8% ×24 ÷ 100

64,032,000÷100

640,320

The amount of profit would the company make over the course of its first 24 years of operation should be $2,114,784.

Calculation of the amount of profit:

Since annual profit is $333,500

The profit percentage should be likely 8%

And, the number of years should be 24

So, the amount of profit should be

[tex]= $333,500 * (1 + 0.08)^{24[/tex]

= $2,114,784

hence, The amount of profit would the company make over the course of its first 24 years of operation should be $2,114,784.

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10
B
с
63°
9
A
D
What is m 2D?
m2D =

Answers

Answer:

Do you have a picture or can you explain more?

Step-by-step explanation:

18. m21 S 21. Guided​

Answers

Answer:

Step-by-step explanation:

say what is this about the phone

Please help we are doing an escape room

Answers

Answer:

15 7 10 15 5

Step-by-step explanation:

someone please help me fill in the blanks!!!!

Answers

Answer:

USE PHOTOMATH OR CYMATH UR WELCOME

Step-by-step explanation:

Answer:

#2 is 2^-9.  #3 is 1/6^15. #4 is 10^8.

Step-by-step explanation:

Remember that with exponents, division is subtraction, and multiplcation is addition.

So for the first problem, 2^-5 / 2^4 is really:

2^-5-4

This is simply 2^-9 power.

Next we have (6^-3)^5. I dont mean to confuse you, so just remember. When, and ONLY when and exponent is INSIDE parentherse, can it be multplilied by another exponent that is OUTSIDE of the parenthesese. SO we can write this as:

6^-3*5

This equals:

6^-15

Which can further be simplyfied to:

1/6^15

Countinuing on we have 10^-12 / 10^-20. Since we are dividing, we subtract to exponenets. So we can write this as:

10^-12 - -20

This is just 10^8 power.

Hope this helps! :)

In winter, the price of apples suddenly went up by $0.75 per pound. Sam bought 3 pounds of apples at the new
price for a total of $5.88.
Write an equation to determine the original price per pound (p).
Find the original price per pound.
$

Answers

Answer:

The equation is;

3(x + 0.75) = 5.88

The original price is $1.21

Step-by-step explanation:

Let the original price per pound be $x

By going up, the new price will be;

(x + 0.75)

3 times this is the new price;

3(x + 0.75) = 5.88

3x + 2.25 = 5.88

3x = 3.63

x = 3.63/3

x = $1.21

find the area of the following​

Answers

Answer:

1/2×5×(10+6)= 120

hope this helps pls give me brainles

Answer:

50in

Step-by-step explanation:

to find the area of a parallelogram the formula is A=b*h. which is

10*5.

If I asked you is 5 a solution to the equation p +13= 21, how would you determine whether or not 5 works?Plz help I'll mark brainliest Thxs

Answers

Answer:

All you have to do is replace p with 5, and see if it works. In this case it doesn't because 5+13 does not equal 21.

Answer:

Not a solution

Step-by-step explanation:

You would plug 5 into the equation where it says p. If 5+13=21, then it is a solution. If it equals to something different, then it is not a solution. In this case, it adds up to 18, making it not a solution.

In a survey of 150 high school students, 10% said they have after-school jobs. How many students have after-school jobs?

Answers

Answer:

Ahoy there, I'm pretty sure that the answer is 15!

Step-by-step explanation:

• Solve the application problem.
The length of a rectangle is į ft. Its width is 1į ft. What is its perimeter?

Answers

Not sure what the length of the rectangle is but to find perimeter of a rectangle you can use the following formula

2w+2l= perimeter

The reason we multiply both the length and width by two is because there are two ends of the width and two ends of the length.

The other formula that would also work is as follows

w+w+l+l= perimeter


Hope it helps

What is the area of the triangle Please answer quick

Answers

Answer:

A = 25 in^2

Step-by-step explanation:

[tex]area = \frac{1}{2} b \times h \\ area = \frac{1}{2} (10)(5) \\ area = 5 \times 5 \\ area = 25 \: {in}^{2} [/tex]

I hope that is useful for you

3(2x – 1) is 15 more than 8 what is the value of x?

Answers

1. Distribute or open parenthesis

= 6x-3

15+8= 23

2. Solve

6x-3 = 23

Subtract 3 on both sides

6x= 20

Divide both side by 6

x= 20/6

x= 3.333 or 3 1/3

7/2 = x/11 does anyone know the answer?

Answers

Step-by-step explanation:

[tex] \frac{7}{2} = \frac{x}{11} \\ 2x = 77 \\ x = \frac{77}{2} \\ x = 38.5[/tex]

A clock is set to ring every 15 minutes whereas another clock is set to ring every 25
minutes. If both the clocks ring together at 4:00 p.m., find the time at which both
clocks will subsequently ring together again.​

Answers

Answer:

At 5:15 PM , they will ring together.

Step-by-step explanation:

We have been given that first bell rings every 15 minutes and second bell rings at every 25 minutes.

In order to find when both will ring together again, we can find the LCM of these two numbers.

15 = 3 × 5

25 = 5 × 5

Therefore, LCM of these two numbers is

LCM = 5 × 5× 3

LCM = 75

Hence, 75 minutes = 75/60 = 5/4 hours

Therefore, at 5:15 PM , they will ring together.

At 5:15 PM the clocks will ring together.

What is Least Common Multiple?

In mathematics, the least common multiple is sometimes referred to as LCM or the lowest common multiple. The smallest number among all the common multiples of the provided numbers is the least common multiple of two or more numbers.

Given:

A clock is set to ring every 15 minutes whereas another clock is set to ring every 25 minutes.

In order to find when both will ring together again, we have to find the LCM of  25 and 15 as

15 = 3 × 5

25 = 5 × 5

LCM (25, 15) = 5 × 5× 3

                     = 75 min

                     = 1 hour 15 minutes.

Hence, At 5:15 PM the clocks will ring together.

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