5. What is the main doman and range of the roller coaster? (Hint: you should express these as a compound inequality or in interval notation

Answers

Answer 1

Answer:

If you’re in the mood for a scary movie, you may want to check out one of the five most popular horror movies of all time—I am Legend, Hannibal, The Ring, The Grudge, and The Conjuring. Figure 1 shows the amount, in dollars, each of those movies grossed when they were released as well as the ticket sales for horror movies in general by year. Notice that we can use the data to create a function of the amount each movie earned or the total ticket sales for all horror movies by year. In creating various functions using the data, we can identify different independent and dependent variables, and we can analyze the data and the functions to determine the domain and range. In this section we will investigate methods for determining the domain and range of functions such as these.

Step-by-step explanation:

Related Questions

The cost of Sara’s Cell Phone is $200 plus $45 per month.

How much will she spend on the cell phone in 3 years?

…. If Sara spent $1500, how long would she have had the phone?

(Use Cost ((y=mx+b))

Answers

1. 1,820
2. Around 29 months

Answer: The cost of her phone is $1,820.

45*12=540 per year

540*3=1,820 every 3 years.

She would have had the phone between 2 and 3 years if she had spent 1,500.

In a solar system, two comets pass near the sun, which is located at the origin. Comet E is modeled by quantity y plus 16 end quantity squared over 400 plus x squared over 144 equals 1 and Comet H is modeled by quantity y plus 13 end quantity squared over 144 minus x squared over 25 equals 1 comma where all measurements are in astronomical units.

Part A: What are the vertices for the path of Comet E? Show your work. (4 points)

Part B: Which comet travels closer to the sun? Give evidence to support your answer. (5 points)

Part C: What key feature does the sun represent for both comets? Give evidence to support your answer. (6 points)

Answers

The vertices of the path of the comet E are; (-12,0) and (+12,0) as it is moving an elliptical path.

What are the vertices of the path of the comet E?

Comet 'E' is modeled by

((y + 16)²)/400 + (x²)/144 = 1

This is an equation of an ellipse. So, the path traveled by Comet E will be an elliptic path.

Comparing with the equation of ellipse;

((y - k)²)/(b²)+ ((x - h) ²)/(a ²) = 1

whose; Centre is (h,k) and Vertex is (h±a, 0)

On Comparing Centre (h, k), h= 0 and k = -16,

a²=144

a = 12

b²=400

b=20

So, Centre (0, -16),

The Vertex (-12,0) and (+12,0)

So, the vertices of the path of the comet E are; (-12,0) and (+12,0).

Part B: The path of Comet H has been modeled as; a horizontal hyperbola.

Thus, The Comet H travels closer to the sun.

Part C: The sun represents the one of the foci of both the Comet E and Comet H.

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write the polynomial in standard given the following zeros: x=0,i\sqrt(2),-i\sqrt(2)

Answers

The polynomial is x³ + 2x

If the zeros or roots of the polynomial are given, then the standard form of the polynomial can be found.

That is, a, b and c are roots of the polynomial, then the polynomial will be of degree 3 since 3 zeros are there and the factors of the polynomial will be , x-a, x-b and x- c.

Then the polynomial is, (x-a)(x-b)(x- c) = x³-(a+b+c)x-abc

Here the zeros of the polynomial are x = 0, x = i√2 and x = -i√2.

So the factors of the polynomial are (x-0), (x - i√2) and (x +i√2).

Hence the polynomial is , (x-0) (x - i√2)(x +i√2) = x(x²+2) = x³ + 2x

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Find the distance between each pair of points.
M(-4,9) N(-5,3)

Answers

Distance formula: root of (y2-y1)^2 + (x2-x1)^2

Root of (3-9)^2 + (-5-(-4))^2

Root of (-6)^2 + (-1)^2

Root 36+1

Distance= root of 37

Given f(x) = -x - 1, find ƒ (1).

Answers

Answer:

You've gotta be kidding me...It's easy come on

-2 is the answer

Step-by-step explanation:

f(x)= -x-1 JUST SUBSTITUTE 1 FOR X

f(1)= -(1)-1

f(1)= -2

if f(x)=8-5x find f(4-+3)

Answers

The required value of the function at x = 4 and 3 is f(4) = -12 and f(3) = -7.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
Given function ,

f(x) = 8 - 5x
put x = 4
f(4) = 8 - 5(4)
f(4) = 8 - 20
f(4) = -12

Again,
put x = 3
f(3) = 8 - 5(3)
f(3) = 8 - 15
f(3) = -7

Thus, the required value of the function at x = 4 and 3 is f(4) = -12 and f(3) = -7.

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Solve for X.
Help please!!!

Answers

Answer:

x=17

Step-by-step explanation:

2x-3+3x+8=90

5x=85

x=17

In a survey of 1,900 people who owned a certain type of car, 855 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?

Answers

Answer: 45%

Step-by-step explanation: 45% of 1,900 is 855

ANSWER QUICK I WILL GIVE BRAINLIEST
Determine which expression is equivalent to the expression 2 over 3 times g minus 5 minus 11 over 15 times g minus the expression one over 5 times g plus 12. 4 over 15 times g plus negative 17 negative 4 over 15 times g plus negative 17 2 over 15 times g plus negative 7 negative 4 over 15 times g plus negative 7

Answers

Answer:

-4/15 - 17

negative 4 over 15 plus negative 17

Step-by-step explanation:

2/3g - 5 - 11/15g - (1/5g +12)

Your wording is extremely confusing but I tried :]

-4/15 - 17

is the correct answer (I think)

The required simplified value of the given expression is -4/15 - 17.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
2 over 3 times g minus 5 minus 11 over 15 times g minus the expression one over 5 times g plus 12 is given as

= 2/3g - 5 - 11/15g - (1/5g +12)

Adding the alike terms,
= 2/3g -11/15g -1/5g -5 -12
= [10 - 11 -3] /15 g - 17
= -4g/15 -17

Thus, the required simplified value of the given expression is -4/15 - 17.

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Write $5 and $8 in algebra expression

Answers

Answer:

5+8=x

step by step explanation

Allison's math teacher asked her to write an irrational and rational number. She wrote the following numbers √46 Rational and 5.25 Irrational. Explain if you agree with Allison's identification of rational and irrational numbers.
If you disagree, provide an example of an irrational and rational number.

Answers

I disagree with Allison. The reason for this is because the square root of 46 is not a perfect square, making the equation irrational. 5.25 is rational because it terminates.

An example of a rational number would be √81. This would be rational because this is a perfect square; 81 / 9 = 9, so √81 = 9.

An example of an irrational number would be “7.2534910552…”. This number would be irrational because there’s no repeating pattern within the decimal and it doesn’t terminate.

Congruent triangles
Please answer this question

Answers

A.Congruent triangles)

(3,-8) with a slope of -1

Answers

Answer:

See below

Step-by-step explanation:

Point slope form

y - - 8 = (-1)(x -3) re-arrange

y + 8 = -x+3

y = -x - 5

Which equation has the solution x= 9? Select each correct answer. 4 + 5x = 18 0 24 - 2x – 13 DE O +7=8 – 0 3x + 2 = 25 81 si - 3 = 6 3 = V 2x - 3= 15

Answers

Equations with solution x = 9 are:

81/x - 3 = 6

2x - 3 = 15

Explanation:

To determine the equation whose result ives x = 9, we need to solve each of the equation in the question

a) 4 + 5x = 18

5x = 18 - 4

5x = 14

x = 14/5

This is not x = 9 (option is wrong)

b) 24 - 2x = 13

24 - 2x + 2x = 13 + 2x

24 = 13 + 2x

24 - 13 = 2x

11 = 2x

x = 11/2

This is not x = 9 (option is wrong)

c) x/3 + 7 = 8

x/3 = 8 - 7

x/3 = 1

x = 3(1) = 3

This is not x = 9 (option is wrong)

d) 3x + 2 = 25

3x = 25 - 2

3x = 23

x = 23/3

This is not x = 9 (option is wrong)

e) 81/x - 3 = 6

81/x = 6 + 3

81/x = 9

81 = 9x

x = 81/9

x = 9

This equation has the sloution x = 9

f) 2x - 3 = 15

2x = 15 + 3

2x = 18

x = 18/2

x = 9

This equation has the sloution x = 9

Mrs. Gomez earns $19.50 per hour and gets a 5% raise. Use compatible numbers to estimate her new hourly rate.

Answers

The new hourly rate using compatible numbers is $21.

Given,

The earnings of Mrs. Gomez = $19.50 per hour

She gets a raise of 5%

We have to estimate her new hourly rate by using compatible numbers.

Compatible numbers:

Compatibility in mathematics refers to the mental ease with which a number can be added, subtracted, multiplied, or divided. Compatibility refers to the proximity of the compatible numbers to the real numbers, which facilitates estimation of the solution and simplifies problem-solving.

So,

Compatible number of 19.50 is 20.

The amount raised = 20 × 5/100 = 5/5 = $1

Now, the new hourly rate = 20 + 1 = $21.

That is, the new hourly rate using compatible numbers is $21.

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Create a quadratic inequality with the roots -5 and 2.

Answers

Answer:

y=x^2+3x-10

Step-by-step explanation:

.........

x = -4z - 19
y= 5x + z - 4
-5y - z = 25

Answers

Answer:

x = 1, y = -4, z = -5

Step-by-step explanation:

Solve the following system:

{x = -4 z - 19 | (equation 1)

{y = z + 5 x - 4 | (equation 2)

{-z - 5 y = 25 | (equation 3)

Express the system in standard form:

{x + 0 y + 4 z = -19 | (equation 1)

{-(5 x) + y - z = -4 | (equation 2)

{0 x - 5 y - z = 25 | (equation 3)

Swap equation 1 with equation 2: