Does a parabola have an inverse?

Answers

Answer 1

An inverse does not exist for a parabola.

What is a parabola?

A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics.

It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves.

An inverse does not exist for a parabola.

One definition of a parabola includes a line and a point (the focus) (the directrix).

The directrix is not the main focus.

The locus of points in that plane that are equally spaced apart from the directrix and the focus is known as the parabola.

A right circular conical surface and a plane parallel to another plane that is tangential to the conical surface intersect to form a parabola, which is also known as a conic section.

Therefore, an inverse does not exist for a parabola.

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Related Questions

•15 POINTS• don’t need to explain.

a.)
b.)
c.)

Answers

Answer: HL

Step-by-step explanation:

HL because the hypotenuse leg theorem shows how a given set of right triangles are congruent if the corresponding lengths of their hypotenuse and one leg are equal.

The Measures of two sides of a triangle are 12 and 13. Use an inequality to express the range of the measure of the third side, m.

A. 1 < m < 15
B. 1 < m < 25
C. 12 < m < 25
D. 0 < m < 11

Answers

The required inequality expression for the third side is 1 < m < 25. The correct option is (B).

What is linear inequality?

Linear inequality refers to the relation between a linear algebraic expression to some known value that contains inequality sign.

Unlike a linear equation it can have a range of values inside an interval.

The sides of the triangle are given as 12 and 13 units respectively.

As per the rule for sides of a triangle, the third side is always less than the sum and greater than the difference of two sides.

Then, the inequality can be written as,

13 - 12 < m < 13 + 12

⇒ 1 < m < 25

Hence, the measure of third side can be written in inequality as 1 < m < 25.

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Using long division convert 1/4 to a decimal

Answers

Using long division convert 1/4 to a decimal

To convert a fraction into a decimal, we'll just divide the numerator by the denominator:

4√1

we'll divide 1 by 4.

1 divided by 4 equals 0

0

4√1

To keep dividing, we'll add a decimal point and a zero after the 1, we'll also add a decimal point after the 0 on top

0.

4√1.0

Now we can divide 10 by 4, 10 divided by 4 equals 2.

0.2

4√1.0

Now we'll multiply 4 by 2, 4 times 2 equals 8. So we'll subtract 8 from 10.

0.2

4√1.0

-8

______

2

Since 2 is greater than 0, we're not finished dividing yet. We'll add another 0 after the decimal point and bring it down.

0.2

4√1.00

-8

________

20

20 divided by 4 equals 5.

0.25

4√1.00

-8

______

20

Now we'll multiply. 4 times 5 equals 20. When we subtract 20 from 20, we get 0. The 0 means we're done dividing.

0.25

4√1.00

-8

______

20

20

________

0

So 1/4 is equal to 0.25.

Which of the following is equivalent to x/x^2-1 + 4/x^2-6x-7?
a. x(x-7)+4(x-1)/(x+1)^2(x-7)
b. x+4/(x+1)^2(x-7)
c. x(x-7)+4(x-1)/(x+1)(x-1)(x-7)
d. x+4/(x+1)(x-1)(x-7)

Answers

Answer:

x(x-7)+4(x-1)/(x-1)(x+1)(x-7)

Step-by-step explanation:

Given the expression x/x²-1 + 4/x²-6x-7

Factorize x²-6x-7

x²-6x-7

= x²-7x+x-7

= x(x-7)+1(x-7)

= (x+1)(x-7)

Replace back into the expression given

x/x²-1 + 4/x²-6x-7

= x/x²-1 + 4/ (x+1)(x-7)

= x/(x+1)(x-1) + 4/(x+1)(x-7)

Find the LCM

=  x(x-7)+4(x-1)/(x-1)(x+1)(x-7)

This gives the required expression

Select the correct answer.
Use the quadratic formula to solve the equation below.
x ( x + 16) = -64

Answers

Answer:

x = -8 (10

Step-by-step explanation:

x (x + 16) = -64

-8(10 + 16) = -64

-80 + 16 = -64

-64 = -64

Today in class, we did calculations with decimals. Reflect on how you made these calculations:

How did we compute products of dollar amounts that were not whole numbers?

For example, how would you compute the product of 3 student tickets at $4. 25 per ticket?

Use this example to explain your strategy.

Answers

As per the decimal number system, the cost of 25 tickets is $32.5

The term decimal in math is defined as the numbers, which consist of two parts namely, a whole number part and a fractional part separated by a decimal point.

Here we have given that the product of 3 student tickets at $4.

Here we have know that the ticket cost for 3 students is $4.

Then the cost of one person is calculated by dividing the cost by the number of students then we get,

=> 4/3

=> 1.3

So, if the cost for one person or ticket is $1.3 then the cost of 25 tickets is calculated as,

=> 25 x 1.3

=> 32.5

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The distribution of SAT scores of all college-bound seniors taking the SAT in 2014 was approximately normal with a mean of 149714971497 and standard deviation of 322322322. Let XXX represent the score of a randomly selected tester from this group. Find P(1497

Answers

The probability is 0.4444.

What is probability?

Probability is a measure of the likelihood of a particular outcome occurring in a given situation. It is the chance that something will happen or is true. Probability is expressed as a number between 0 (impossible) and 1 (certain). Probability is a mathematical way of predicting what will happen in the future based on a given set of data. It is used to analyze the likelihood of various outcomes in a range of scenarios, such as gambling, finance, insurance, and weather forecasting.

The probability of a randomly selected tester from the group of college-bound seniors having a score between 1497 and 1507 can be calculated using the standard normal distribution. First, we need to convert the scores to standard scores, or z-scores. Subtract the mean from the scores and divide by the standard deviation to get z-scores.

For XXX = 1497, z = (1497 - 1497) / 322 = 0.
For XXX = 1507, z = (1507 - 1497) / 322 = 0.31.

Using a standard normal table, we can calculate the area under the normal curve between 0 and 0.31. The probability of randomly selecting a tester with a score between 1497 and 1507 is 0.4444. The probability is therefore P(1497 ≤ XXX ≤ 1507) = 0.4444.

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Complete questions as follows-
The distribution of SAT scores of all college-bound seniors taking the SAT in 2014 was approximately normal with a mean of 149714971497 and standard deviation of 322322322. Let XXX represent the score of a randomly selected tester from this group. Find P(1497 ≤ XXX ≤ 1507).

Important !!!!!
What is the diameter of B?
With explanation. No links. Idiots will get reported.

Answers

Answer:

i think the answer is 45.5 because you have 91 and you know the diameter of 2 circle so you would divide 91 by 2

1. hope it is correct

2. if it is correct please mark as brainliest

3. have a great day/night

4. no links

thank you

400 people are asked if they drink tea. [tex]\frac{7}{10}[/tex] say Yes and 20% of the people who say Yes drink at least 3 cups each day.

I really need help on a) Complete the frequency tree, I don't know how to work that one out.

Answers

The missed value in the frequency tree is 224.

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given that 400 people are asked if they drink tea.

7/10  say Yes and  20% of the people who say Yes drink at least 3 cups each day

7/10 of 400 is 280

Which means 280 people drink tea.

The remaining people does not drink tea.

Remaining =400-280=120.

Now let us find 20% of 280

20/100×280

0.2×280=56

So 56 drink at least 3 cups each day.

280-56=224

So 224 people drink tea but not three cups.

Hence, the missed value in the frequency tree is 224.

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Find the lateral area of the regular prism with height h , if the base of the prism is: Equilateral triangle with the side 4 cm and h =2.5 cm

Answers

Answer:

the lateral area of the regular prism is 30 cm².

Step-by-step explanation:

Given;

the base of the regular prism, b 4cm

height of the prism, h = 2.5 cm

The lateral area of the regular prism is calculated as the product of the base perimeter and height of the prism.

L.A = P x h

where;

P is the perimeter of the base = 3 x 4cm (equilateral triangle has equal sides)

P = 12 cm

L.A = 12 cm x 2.5 cm

L.A = 30 cm²

Therefore, the lateral area of the regular prism is 30 cm².

Answer:

30 cm2

Step-by-step explanation:

Please Answer This For Me<33

Answers

Answer:

a) 4.2 - 2.8 = 1.4

b) 72.1 - 45.6 = 26.5

c) 82.2 - 41.3 - 29.2 = 11.7

d) 17.1 - 11.7 - 0.8 = 4.6

e) 29.2 - 12.5 - 0.9 = 15.8

f) 21 - 14 = 7

g) 71 - 37 - 18 = 16

h) 50 - 19 - 8 = 23

i) 92 - 57 - 16 = 19

j) 44 - 18 - 9 = 17

Find the next two terms of this sequence 80,40,10, someone help pls

Answers

Answer:

first term(a)= 80

common ratio(r)= t2/t1 =40/80 =1/2

T4= ar^n-1

= 80*1/2^4-1

=80*1/2^3

=80*1/8

=10

then

t5=ar^n-1

= 80*1/2^5-1

=80*1/16

=5

ASAP
-will mark brianlist

Answers

Answer:

3

Step-by-step explanation:

12 × 3 = 36

12 × 5 = 60

36 + 60

Have a good day :)

Answer:

3

Step-by-step explanation:

Let's double check:

12 x 3 = 36

12 x 5 = 60

36 + 60, it fits!

plss help help help can someone plss help me
~plss respect my question~

I really need this right now so please​

Answers

Answer:

1) The stars are not constant in their position.

2) No. The stars aren't in original position because of apparent movement of stars in the sky.

3) Due to rotation of earth on its axis , the stars appear to move from west to east in the sky. Actually stars don't move as they are constant in their position but they appear to move with respect to earth.

4) Both the motion of stars & motion of sun are similar because both are an example of apparent motion. Both appear to change their respective positions but in reality , sun & stars are constant in their positions. But as earth is rotating , it appears like sun & stars are changing their positions.

Kelly started running around a track two laps before Anne. They are running at the same speed. Write an equation to find the number of laps, y Kelly

has run given the number of laps, X Anne has run.



1. X= 2y

2. Y= 2x

3. X= y+2

4. Y= x+2

Answers

Answer:

Step-by-step explanation:

How do you find the asymptotes and zeros of a function?

Answers

The process to find the asymptote and zeros of the function is explained below.

The term asymptote is referred as a horizontal/vertical/slant line to which the curve is very close to but the curve doesn't touch the asymptote.

Here we need to find the way to identify the asymptotes and zeros of a function.

The process of finding the asymptote is defined as,

If you want to find the horizontal asymptotes, then apply the limit x→∞ or x→ -∞.

Where as if you want to find the vertical asymptotes, then apply the limit y→∞ or y→ -∞.

Finally, if you want to find the slant asymptote, then divide the numerator by the denominator.

The process of finding the zero of the function is defined as the way to find the values of x where f(x) = 0.

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Help for easy points

Answers

Answer:

58 units²

Step-by-step explanation:

Using Pythagoras identity

The square on the hypotenuse ( third side ) is equal to the sum of the squares on the other 2 sides, then

area = 7² + 3² = 49 + 9 = 58

Step-by-step explanation:

Firstly: using pythagoras theorem

Hyp^2=adj^2+opp^2

Let the hyp be x

X^2=7^2+3^2

X^2=49+9

X^2=58

X=Square root 58

Let the side is root 58

Area of a square is L^2

Root 58×root 58

The area of the square is 58unit squ

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Nicole was driving down a road and after 6 hours she had traveled 90 miles. At this speed, how many miles could Nicole travel in 8 hours?

Answers

Answer:

120

Step-by-step explanation:

90÷6=15×8=120

HELPPP ASAP FIRST PERSON WITH CORRECT ANSWER GETTS BRAINLIEST

Answers

Answer:

A)

Step-by-step explanation:

could one side length of a function ever produce two different perimeters?

Answers

Answer: A perimeter is the total length of all the sides of a polygon. It is calculated by adding up the lengths of all the sides of the polygon. For a polygon with distinct and non-overlapping sides, each side length contributes exactly once to the perimeter. So in such case, a side length of a polygon can never produce two different perimeters.

However, it's worth mentioning that, one side length of a function could be a side of a polygon and the other could be a side of another shape. Also, it's possible that a single side length of an object is connected to a different set of side length, generating different perimeters.

For example, the length of an arc of a circle can be considered as a "side length" of the circle and it can be used to calculate both the perimeter of the arc and the circumference of the full circle, which are different measurements.

Also, a circular pool has a radius, but it's perimeter is the circumference, and this length is produced by the same radius but it's a different perimeter from the length of the radius.

In summary, a side length can produce different perimeter if we are talking about different shapes and measurements.

Step-by-step explanation:

How do you find the difference between polynomials?

Answers

Some polynomials have specific names indicated by their prefix like monomial is a polynomial with exactly one term (“mono”—means one) binomial is a polynomial with exactly two terms (“bi”—means two) trinomial is a polynomial with exactly three terms (“tri”—means three).

What is polynomial?

Some polynomials have unique names that are denoted by their prefix, such as monomial, which is a polynomial with precisely one term ("mono"—means one). A binomial polynomial has precisely two terms ("bi" indicates two). A trinomial is a polynomial with three terms ("tri"—three). A polynomial is a mathematical statement made up of indeterminates and coefficients that solely includes the operations of addition, subtraction, multiplication, and positive-integer powers of variables. x2 4x + 7 is an example of a polynomial with a single indeterminate x.

Here,

Some polynomials have unique names that are denoted by their prefix, such as monomial, which is a polynomial with precisely one term ("mono"—means one). A binomial polynomial has precisely two terms ("bi" indicates two). A trinomial is a polynomial with three terms ("tri"—three).

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Question 10: Let the graph of f(x) represent the cost in thousands of dollars to feed the zoo animals daily, where x is the number of animals measured in hundreds. What does the solution to the function (2, 12) represent?
Cost (in thousands)
20
15
(2. 12)
10
5
Number of Animals (in hundreds)
• There are 200 animals, and the cost is $12,000 daily.
• There are 2,000 animals, and the cost is $1,200 daily.
• There are 1,200 animals, and the cost is $2,000 daily.
• There are 12,000 animals, and the cost is $200 daily.

Answers

Answer: I believe is the first one

Step-by-step explanation:  It says animal in hundreds right. so looking at it 200 animals is right. But also x = 2 and y = 12

Hope this helps I'm sorry if it does not help

What is the third side of a triangle calculator?

Answers

The third side of a triangle can be calculated using the Pythagorean Theorem.

This theorem states that in a right triangle, the sum of the squares of the two sides is equal to the square of the hypotenuse. The hypotenuse is the longest side of the triangle and is opposite the right angle.

Formula:

[tex]a^2 + b^2 = c^2[/tex]

Determine the two side lengths of the triangle

Calculate the sum of the squares of the two side lengths.

Calculate the square root of the sum of the squares of the two side lengths. This is the length of the third side (the hypotenuse).

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Audrey has x pounds of red grapes and y pounds of green grapes. she has less than 5 pounds of grapes in all. which are reasonable solutions for this situation? check all that apply. (–1, 2) (1, 3.5) (2, 2) (4.5, 0.5) (5, 0)

Answers

The reasonable solutions for this situation is (1, 3.5) and (2, 2)

What is Graph?

A graph is a visual representation of data or information, typically used to display the relationship between two or more variables. Graphs are used to make it easier to understand and analyze data, and can be used to convey information in a clear and concise manner.

Audrey has x pounds of red grapes and y pounds of green grapes.

She has less than 5 pounds of grapes in all, hence:

x + y < 5

Also, x ≥ 0, y ≥ 0

a) The option (–1, 2) is wrong because x = -1 < 0

b) The option (1, 3.5) is correct because 1 + 3.5 = 4.5 < 5

c) The option (2, 2) is correct because 2 + 2 = 4 < 5

d) The option (4.5, 0.5) is wrong because 4.5 + 0.5 = 5 which is not less than 6.

e) The option (5, 0) is wrong because 5 + 0 is not less than 5

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Select the correct answer. A record label surveyed 150 random visitors to its website to discover whether they prefer metal, rock, hip-hop, or jazz. The survey showed that 27 visitors preferred metal, 78 preferred rock, 21 voted for hip-hop, and 24 liked jazz. If the company estimates sales of 6,000 copies a week at its online store, how many will likely be from the rock genre

Answers

The company is likely to sell 3,120 copies of rock music per week.

If the company estimates sales of 6,000 copies a week at its online store, it is likely that 78/150 x 6,000 = 3,120 copies will be from the rock genre.

To find this, we first need to calculate the proportion of visitors that preferred rock music by dividing the number of visitors who preferred rock (78) by the total number of visitors surveyed (150). This gives us 78/150 = 0.52.

Next, we multiply this proportion by the estimated number of weekly sales at the online store (6,000) to find the number of sales that are likely to be from the rock genre. 0.52 x 6,000 = 3,120.

So, the company is likely to sell 3,120 copies of rock music per week.

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HELP MEEEEEE i have yo get this whole slide done by today i think where do i put the dots

Answers

Answer:

Step-by-step explanation:

Answer:

1. (-4,-2) (4,-2)

2. (4,1)(7,1)

Step-by-step explanation:

which equation represents a line perpendicular to the given line x-4y=7

Answers

The equation of the line perpendicular to x - 4y = 7 can be written as:

y = 4*x + b

Where b could be any real number.

Which equation represents a line perpendicular to x - 4y = 7?

Two lines are perpendicular if the product between the slopes of the lines is equal to -1.

Where a general line in the slope-intercept form is written as:

y  =a*x +b

And the given line is:

x - 4y = 7

Writing this in the slope-intercept form we will get:

-4y = -x - 7

y = (-1/4)*x + 7/4

So the slope is -1/4, then the slope of our line must be such that:

a*(-1/4) = -1

a = -4*-1 = 4

a =4

So the line perpendicular to the given one is:

y = 4*x + b

Where b can be any real number.

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Work out an expression for the nth term of the quadratic sequence
2, 17, 40, 71
Give your answer in the form
an^2 + bn + c
where a, b and c are constants.
I

Answers

the answer is C i don’t really know i just need to ask a question

Can someone please tell me this answer it is for a very major grade and I have 2 weeks of school left and I really wanna pass (15+x=20)

Answers

Answer:

X=5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

15+x=20

or, x=20-15

or, x=5

There is a pile of LEGOS in Gracey's room. Three out of every five LEGO pieces are red How many pieces are red if there are 60 pieces of LEGOS in Gracey's room?

Answers

Answer: 36 are red

Step-by-step explanation:

3 out of every 5

5*12 = 60

so do 3*12 which = 36

36/60

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