Blake gives piano lessons in the evenings. He earns $20 for each piano lesson and has between 0 and 6 lessons each evening. The amount he earns in an evening depends on the number of lessons he gives. What is the range of this relation?.

Answers

Answer 1

The range of the relation will be expressed as 0 ≤ g(x) ≤ 120

Let the number of lessons he gives be x

If he earns $20 for each piano lesson, the amount he will earn on x lessons will be $20x

Writing this as a function will give:

g(x) = 20x

where g(x) is the range of the relation.

If he has between 0 and 6 lessons each evening, the corresponding range at x = 0 and x = 6 is given as;

g(0) = 20(0) = 0g(6) = 20(6) = 120

Therefore the range of the relation will be expressed as 0 ≤ g(x) ≤ 120

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Answer 2

Answer: {0, 20, 40, 60, 80, 100, 120}

Step-by-step explanation: Remember we only use inequality signs for continuous relations with an infinite amount of values or data points or values or points. When we're given a set finite amount of data points we use brackets for this data because it is a discrete relation.

And for this problem we're looking for the range of the relation and recall the range is the dependent values or variables that depend on the domain or independent variables. The amount of money he earns depends on the amount of hours he works. Hence, the range is {0, 20, 40, 60, 80, 100, 120} the amount of possible money he can earn.


Related Questions

The image shows the fossilized remains of Glyptodon, an animal group that became extinct about 10,000 years ago, and a modern armadillo. Both animals are mammals that share similar physical characteristics, such as short legs, a long tail, and a shell composed of bony plates. Which is the best explanation for the similarity between Glyptodon and the armadillo? The armadillo and Glyptodon descended from unrelated animals. The armadillo and Glyptodon descended from unrelated animals. The armadillo and Glyptodon are the same species. The armadillo and Glyptodon are the same species. The armadillo and Glyptodon lived in different environments. The armadillo and Glyptodon lived in different environments. The armadillo and Glyptodon descended from a common ancestor. The armadillo and Glyptodon descended from a common ancestor.

Answers

Answer

The armadillo and Glyptodon descended from a common ancestor.

Step-by-step explanation:

Isabella made two types of cakes: chocolate and vanilla. She cut all of the

chocolate cakes into 7 slices each and all of the vanilla cakes into 9 slices

each. If Isabella ended up with the same total number of slices of each type

of cake, what is the minimum number of slices of each type?

Answers

Answer:

To get the same total number of slices of each type of cake, the answer must be the LCM (lowest common multiple) of 7 and 9.

Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70...

Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90...

As you can see so far, 63 is the lowest common multiple of both 7 and 9.

Thus, the answer is 63

Answer: 63 ( but give the person above me brainliest because they explained it better )

Step-by-step explanation:

If the cakes have the same amount of slices then we must find the lowest common multiple which is 63

So both cakes have 63 slices

how many steps will it take you to get to 100 if every even number you double and every odd number u take 1 away

Answers

Let’s go with 200 steps. Since 100 are even, 100 odd we can do something like this.

100 * 2 is 200. However since the other 100 is an odd place we will subtract 100 so our final answer is 100.

Logically, you would need 200 steps exactly to reach your goal.

( 100 if this is a trick question (‘: )

A water tank is being filled by two inlet pipes. Pipe A can fill the tank in 4 hours, while both pipes
together can fill the tank in 2 hours. How long does it take to fill the tank using only Pipe B?

Answers

2 Hours

this is because one pipe takes 4 hours, and if both pipes take 2 hours, that is cutting the time in half, meaning both pipes pour the same amount and take the same time.

hope this is helpful!

What is the solution to this inequality?


−15x>75



x<−5


x>−5


x≥−5


x≤−5

Answers

Answer:

x < -5 (the first option)

Step-by-step explanation:

I hope this helps!

The solution of the inequality will be;

⇒ x < - 5

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The inequality is,

⇒ - 15x > 75

Now,

Since, The inequality is,

⇒ - 15x > 75

Hence, The solution of the inequality is,

⇒ - 15x > 75

⇒ - x > 75/15

⇒ - x > 5

⇒ x < - 5

Thus, The solution of the inequality is,

⇒ x < - 5

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6- 1/3 = decimal maths

Answers

Answer:

To get 6 1/3 in decimal form, we basically convert the mixed number to a fraction and then we divide the numerator of the fraction by the denominator of the fraction. Here are the detailed math steps we use to convert 6 1/3 mixed number to decimal form: Step 1:Multiply the whole number by the denominator: 6 × 3 = 18

Step-by-step explanation:

The value of the expression 6 - 1/3 will be 17 / 3.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The numbers are given below.

6 and 1/3

Then the difference between the numbers 6 and 1/3 will be given by putting a minus sign between them. Then we have

⇒ 6 - 1/3

⇒ (18 - 1) / 3

⇒ 17 / 3

The value of the expression 6 - 1/3 will be 17 / 3.

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help me with this plss

Answers

Answer:

31-13=18

Step-by-step explanation:

so its 18 pls give brainliest

Answer:

18

Step-by-step explanation:

Since Robyn bought 13 video games and got 31 at the end, if you take away 13 then you will get 18 meaning the answer is 18

Maths Sum:

There's 2 ways you could go this, there's the algebraic way of doing it (that I don't recommend for this type of question and is a bit to advanced right for this question also) which is:

x + 13 = 31

  - 13   -13

x = 18

And there's the simple way of doing that I recmmend for this type of question which is:

31 - 13 = 18

round 0.006772 to 1 significant figure

Answers

Answer:

[tex]0.007[/tex]

Step-by-step explanation:

Round to the required significant figure:

[tex]0.007[/tex]


Tamara wants to rent a jet-ski. Tamara's deal is to pay $60 to rent the jet-ski, plus $12.50 per hour. If
Tamara has $135 how many hours can Tamara use the jet-ski?

Answers

Answer:

6 hours.

Step-by-step explanation:

deal: 135-(60+12.5h)=y

let h= # of hrs

135-60=75.

75/12.5=6 hours.

Please help I am stuck on this

Answers

Answer: B. y = 1/2x - 1

Explanation:
I know someone else already answered, but I wanted to explain why the answer is B.

Consider an equation of a line in slope-intercept form: y = mx + b

Since the line intersects the y-axis at -1, that’s the y intercept, or b. We know the slope of the line is positive because it slopes upward from left to right. From each whole number solution point, the line goes up one and two to the right. Slope, represented by m, is “rise” over “run”, or the change in y over the change in x. This makes the slope 1/2.

I hope this helps.

simplify the quotient. Write the answer in sn.

Answers

Answer:  2.25 x 10 -7   -7 is the exponent

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10  If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

What is the sum of ( x - 4) and (4x -1)?

Answers

Answer: 5x-5 or 5(x-1)

Step-by-step explanation:

1. take away parentheses, add because asking for "sum"

=x-4+4x-1

2. add

=5x-5

3. if u need to factor it:

5(x-1)

in the equation 3/4y+1/2=31/4 the fractional cofficient

Answers

Answer:

The coefficient is 32.

Step-by-step explanation:

I hope I have helped you if not tell me.

NO LINKS!!!!! Plz

Round 0.864595 to the ten-thousandths place.

Answers

Answer:

  0.8646

Step-by-step explanation:

The digit in the hundred-thousandths place is 9, so is greater than 4. That means the digit in the ten-thousandths place is increased by 1 when the number is rounded.

  0.864595 rounds to 0.8646

What is √101.6064 in to 1 decimal place and in standard form?​
NEED ASAP

Answers

Note that

10² = 100

0.08² = 0.0064

and

101.6064 = 100 + 1.6 + 0.0064

It also happens that

1.6 = 2 • 10 • 0.08

which means

101.6064 = 100 + 1.6 + 0.0064

101.6064 = 10² + 2 • 10 • 0.08 + 0.08²

101.6064 = (10 + 0.08)²

101.6064 = 10.08²

which means

√101.6064 = 10.08

which, to one decimal place, is approximately 10.1.

multiply the expression (1/3 m-n)^2​

Answers

Answer:

{(

Answer : 1/4 m^2 -mn + n^2

Can someone please take the time out of their day and help me with this question

Answers

[tex]\large\huge\green{\sf{Answer:-}}[/tex]

[tex] \red {\mathbb{ \underline { \tt By \: using \: Pythagoras \: theorm}}}[/tex]

[tex]h {}^{2} = p {}^{2} + b {}^{2} \\ x {}^{2} = (7 {}^{2} + 6 {}^{2} )ft {}^{2} \\ x {}^{2} = (49 +3 6)ft {}^{2} \\ x {}^{2} = 85 ft\\ x = \sqrt{85 } ft \\ [/tex]

the length of missing side= √85=9.2 ft

Solve for .
- 9x + 5 < 17
OR
13r + 25 < -1

Answers

For -9x + 5 it’s
x > −4/3
OR
For 13r + 25 <-1 it’s
R<-2


Based on the graph below, f(x) and g(x) where g(x) =f(x)+h are shown

Answers

Answer:

The value of h is 5

Step-by-step explanation:

Remember the if two lines are parallel and one is taller than the other and is asking for what that is the difference it is the y-intercept or what you call in this problem "h" since h is 5 digits above the answer is 5

What is the answer to 2(2x-5)

Answers

Answer: The answer is 4x - 10.

Explanation: The explanation is in the image. The explanation is showing using the distributive property to multiply 2 by 2x - 5.

Answer:

4x-5

Step-by-step explanation:

what is the answer, A, B, D, or E? Please Let me know????

Answers

Answer:

B and D

Step-by-step explanation:

B -> -1.4z multipled by 40 is - 56z, 0.7 multipled by 40 is 28, thus giving us - 56z + 28.

D -> When we expand (8z - 4)(-7) we will get -56z + 28 as 8z multipled by - 7 is - 56z (remember positive times negative equals negative) and - 4 multipled by - 7 is 28 (negative times negative equals positive)

If f (x)= 3x - 5 and g(x) = x^2, find (f•g)(3).

Answers

Answer:

do it got a picture

on the edge2020

Step-by-step explanation:

subtracting 24 is the inverse of

Answers

Answer:

The inverse of subtracting 24 is adding 24.

Step-by-step explanation:

The inverse of subtraction is addition.

Solve the inequality . Graph solution . 1/5 > d+ 4/5

Answers

Answer:

B

Step-by-step explanation:

Answer:

b. d>-3/5

Step-by-step explanation:

L.C.M=5

5×1/5>5×d+4/5×5

1>5d+4

1-4>5d

-3>5d

-3/5>5d/5

-3/5>d

A music store is having a clearance sale. All items are discounted by 15%. What is the sale price of a radio that regularly costs $20?

Answers

Answer:

17$

Step-by-step explanation:

Answer:

$17

Step-by-step explanation:

Since the discount is 15%, and 100% would be the full price, 100 - 15 = 85. You are paying 85% of the price. 20 * .85 = 17.

The cafeteria made 19 mushroom pizzas and 57 pepperoni pizzas.What percentage of the pizzas were mushroom?

Answers

Answer:

the answer is 14.04

...............

25 % of pizzas were mushroom pizzas.

What is percentage?

Percentage is a measurement to find value of given number out of hundred.

Given that,

Number of mushroom pizzas = 19,

And number of pepperoni pizzas = 57.

Total number of pizzas = 19 + 57 = 76.

To find the number of percentage of pizzas of mushroom,

Use percentage property,

= (Number of mushroom pizzas / total pizzas) x 100

= (19 / 76) x 100

= 100/ 4

= 25 %

The required percentage of mushroom pizzas = 25 %.

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Factor the expression completely: x3 - 48x

Answers

Answer: The answer is X(X^2 - 48).

Item 3 Martin is a chef and a caterer. When catering an event, he plans the amount of food to be prepared based on the number of people he needs to serve. The equation y = 7x represents the number of ounces of chicken required to serve x people. The equation y = 5x represents the number of ounces of fish required to serve x people. What is true of the comparison of the two graphs?

Answers

Answer:

The line representing the number of ounces of chicken required to serve x people is steeper than the line representing the number of ounces of fish required to serve x people.

Step-by-step explanation:

I took the test

Comparing the two graphs, we can conclude that: the graph representing the number of ounces of chicken required to serve x people has a steeper slope than the graph representing the number of ounces of fish that will serve x people

Recall:

The linear equation of a proportional graph is represented as y = mx, where m is the slope or gradient.The larger the value of the slope, the steeper the slope of the graph.

Given the following:

Graph representing the number of ounces of chicken required to serve x people: y = 7x

The slope is 7.

Graph representing the number of ounces of fish required to serve x people: y = 5x.

The slope is 5.

Therefore, comparing the two graphs, we can conclude that: the graph representing the number of ounces of chicken required to serve x people has a steeper slope than the graph representing the number of ounces of fish that will serve x people

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5/12 of the pupils in yr9 say their favourite colour is red. There are 180 pupils in yr9. How many students said red is their favourite colour?

Answers

Answer:

75 students

Step-by-step explanation:

180*5/12=75

The following graph shows a proportional relationship.
What is the constant of proportionality between yyy and xxx in the graph?

Answers

Answer:

The constant of proportionality is thus 1

Step-by-step explanation:

Note that the green line passes through (6, 6) and has a y-intercept of 0.  Thus, the equation of the line is y = (6/6)x + 0, or y = x, or y = 1x.

The constant of proportionality is thus 1, which is also the slope of this line.

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