Mathematics College

Some values of the linear function f are given in the table shown. What is the value of f(100)?

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Some Values Of The Linear Function F Are Given In The Table Shown. What Is The Value Of F(100)?

Answers

Answer 1

Answer:

f(100) = 160.

Step-by-step explanation:

Linear function:

The equation of a linear function has the following format:

[tex]y = mx + b[/tex]

In which m is the slope(how much f(x) changes when x changes by 1) and b is the y-intercept(value of f(x) when x = 0).

Finding the slope:

Suppose we have two points. The slope is the change in the output divided by the change in the input.

In this question, we have points (45,50) and (60,80).

Change in the output: 80 - 50 = 30

Change in the slope: 60 - 45 = 15

Slope: 30/15 = 2

So

[tex]y = 2x + b[/tex]

Point (45,50)

This means that when [tex]x = 45, y = 50[/tex]. We use this to find the value of b.

[tex]y = 2x + b[/tex]

[tex]50 = 2(45) + b[/tex]

[tex]b = -40[/tex]

So

[tex]y = 2x - 40[/tex]

With y = f(x)

What is the value of f(100)?

This is y when x = 100. So

[tex]f(100) = 2(100) - 40 = 200 - 40 = 160[/tex]

f(100) = 160.

Related Questions

Is this 40%? If not, what's the answer? Thanks!

Answers

Answer:

It is!

Hope this Helps!

Yes it is 40% each square is 20

you can use a calculator if you want. No links please help this is very important i will give you brain thing if its correct

Answers

Answer:

B

Step-by-step explanation:

You don't even have to do complicated the math as the numbers are complicated for a reason. Round 1.99 to 2 and 1.83 to 1. and the answer is 5.4, which is closest to answer B.

Use operations of decimal, fraction, and percent numbers to model the following scenarios. In your final answer, include only an equation or proportion modeling the scenario. Do not solve the problems.


A family dines in a popular franchise restaurant. At the end of the meal, they decide to leave their server a monetary tip that is equal to 20% of the total bill amount, $60.50. How much will the family leave their server as a tip?
A family dines in a popular franchise restaurant. They plan to use a coupon that will give them a discount of 15% off of their total dinner bill, not including applicable sales tax or their server’s tip. If the family’s dinner bill totaled $34.00 before tax and tip, how much money will they save by using the coupon?
A family dines in a popular franchise restaurant. They plan to use a coupon that will give them a discount of 10% off of their total dinner bill, not including applicable sales tax or their server’s tip. The bill totals $157.30 before tax and tip. What is the new total after the server applies the 10% off coupon?
A family of eight dines in a popular franchise restaurant. The restaurant has a policy of automatically including a standard tip to the final bill for parties larger than six people. The bill for the meal included a total of $58.25 in food and beverage sales, plus a standard tip of $10.49. What percent of the food and beverage sales does the restaurant consider to be a standard tip for parties larger than six?
A family dines in a popular franchise restaurant that has a policy of automatically including a 20% tip on all food and beverage sales before coupon discounts are applied. What is the family’s total bill amount if their food and beverages totaled $94.20 and they used a 15% off coupon? (HINT: Create more than one model.) DONT ANSWER THE QUESTION JUST PUT THE EQUATIONS

Answers

Answer:

A) t=0.2(60.5)

B) d=0.15(34)

C) t=0.9(157.3)

D) p=100(10.49/58.25)

E) t=0.85(94.2+0.2(94.2))

Step-by-step explanation:

A)

Let the tip be represented by t. The tip is 20% of $60.50:

t=0.2(60.5)

B)

Let the money they save be represented by d. Their discount is 15% of $34:

d=0.15(34)

C)

Let the new total be represented by t. Their discount is 10%, so they will only be paying 90% of $157.30t:

t=0.9(157.3)

D)

Let the percentage be represented by p. The tip is $10.49, to find this as a precent of the $58.25 bill, divide the tip by the bill and multiply by 100:

p=100(10.49/58.25)

E)

First find the total after the tip but before the coupon.

Their tip is 20% of $94.20, and their total before the coupon is $94.20 plus the tip: 94.2+0.2(94.2)

Now find their final total.

Let the final total be represented by t. The discount is 15%, so they will only be paying 85% of the total after tip:

t=0.85(94.2+0.2(94.2))

PLEASE HELP ASAPPP!!

Answers

Answer:

A.

D: x [tex]\geq[/tex] -7

R: y [tex]\geq[/tex] -9

B.

D: x [tex]\geq[/tex] -3

R: All real numbers

C.

D: -10 < x < 10

R: -20 < y < 10


What is the median of this set of data?

Answers

39 is the median.
Explanation: put everything in order, than go to the middle number or the 2 numbers in the middle. If 2 number is in the middle, add both than divide by 2 to get your answer.

The difference between the squares of two numbers is aperiod twice the square of the first number increased by the square of the second number is 19. Find the numbers.

Answers

numbers are are x and y
x^2-y^2=5
3x^2+y^2=31
Add them
4x^2=36, the y^2 disappear
x^2=9
x=3 and -3
check both
x=3, y=2 or -2
x=-3, y=2 or -2
(3, 2) (3, -2) (-3, 2) (-3, -2)

Lowest common multiple for 3ab; 6b2; 7a3b

Answers

Answer:

L.C.M = 2 × 7 = 14

Step-by-step explanation:

3ab = 3 × a × b

6b² = 2 × 3 × b × b

7a³b = 7 × a × a × a × b

L.C.M = 2 × 7 = 14

Thus, Lowest common multiple for 3ab; 6b²; 7a³b is 14

-TheUnknownScientist

The answer is L.C.M = 2 x 7 = 14

PLEASE HELP FAST!!! **20 POINTS**

Answers

Answer: constant of proportionately is 0.66 repeating. (I think)

Simplify -3x^2- 5x^2(4x^3 – x^2)^2
A.)-80x^8 + 40x^7 - 5x^6 - 3x^2
B.)64x^7 - 8x^6– 48x^4
C.)-32x^8 + 8x^6

Answers

The answer is A :).

Convert 49° Celsius to degrees Fahrenheit using the following formula: F = {C+32 O A. 506.5°F OB. 196.2°F C. 94.6°F OD. 2237°F O E. 120.2°F​

Answers

Answer:

Step-by-step explanation:

F = 9/5C + 32

Putting value

9/5(49) + 32

88.2 + 32

= 120.2°F

Option E is the correct answer

The Celsius temperature 49 in Fahrenheit is 120 F.

To convert Celsius to Fahrenheit, you can use the formula:

F = (C × 9/5) + 32

Let's calculate the conversion using the given Celsius value:

C = Celsius temperature

F = (C × 9/5) + 32

F= (49 x 9/5)+ 32

F= 88.2 + 32

F = 120.2 F

Thus, Celsius temperature 49 in Fahrenheit is 120 F.

Learn more about Temperature Conversion here:

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Who ever answers gets to be brainlist anyways tell me how to mark you as brainlist?

Answers

Answer:

part W

you tap the person and it gives you that option

hope that helps I don't answer things for points I like to help and maybe

PLEASE HELP! Image below

Answers

Answer:

1.6

Step-by-step explanation:

So, first, write down the number of jokers in each deck of cards.

That would be: 0, 1, 2, 2, 3

Then, add up all those numbers.

0+1+2+2+3=8

Now, divide that sum by the number of decks or cards shown in the data set, which would be 5.

8/5=1.6

So, the mean of the data in the dot plot shown is 1.6.

:L)

Enter an equation that represents the data in the table.


x 3 5 8 10
y 15 25 40 50


An equation is y

Answers

Answer:

y=5x

Step-by-step explanation:

3 x 5

5 x 5 and so forth

I need help please ASAP

Answers

H. 200 miles in 4 hours

represents a constant rate of change of 50 miles per hour.

Answer:

H. 200 miles in 4 hours.

Step-by-step explanation:

200 miles in 4 hours.

In this situation, in 4 hours, the vehicle has driven a distance of 200 miles.

To determine the distance in one hour, divide the miles by the hour.

200 ÷ 4 = 50.

The vehicle drives at a constant rate of 50 miles per hour.

5
Select ALL the correct answers.
Select all the statements that are true for the following systems of equations.
System A
2x - 3y = 4
4x - y = 18
System B
3x - 4y= 5
y = 5x + 3
System C
2x - 3y = 4
12x - 3y = 54
Systems A and C have the same solution.
Systems A and B have different solutions.
ООООО
Systems B and C have the same solution.
System C simplifies to 2x - 3y = 4 and 4x - y = 18 by dividing the second equation by three.
All three systems have different solutions
Reset
Next

Answers

Answer:

I didnt get all of them but A and C are the same and A and B are different

Step-by-step explanation:

Which expression is equivalent to 1/4 + 3 - 1/3x + (-2)​

Answers

Answer:

5/4 + -x/3

Step-by-step explanation:

Operations on how to solve this problem:

1. Multiply the numbers.

2. Combine multiplied terms into a single fraction

3. Add the numbers

(To guide you to the answer, look at the file I uploaded)

Triangle LMN has the vertices shown on the coordinate grid.

What is the length of LM?

I’ll give BRAINLIEST

Answers

9514 1404 393

Answer:

  d. √74 units

Step-by-step explanation:

The distance formula is useful for finding the length of a line segment.

  d = √((x2 -x1)^2 +(y2 -y1)^2)

Filling in the point coordinates L(-5, -3) and M(0, 4), we find the length of LM to be ...

  LM = √((0-(-5))^2 +(4 -(-3))^2) = √(25 +49)

  LM = √74 . . . units

Helpppppp pleaseee this is timed. NO LINKS OR I WILL REPORT YOU please help I will mark you brainliest. Also please give an explanation please pretty please

Answers

Answer:

whats the question??

Step-by-step explanation:

what is the probability ​

Answers

Answer:

Probability in Maths:-

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in Maths to predict how likely events are to happen.

Formula for Probability:-

The probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of favourable outcomes and the total number of outcomes.

Probability of event to happen P(E) = Number of favourable outcomes/Total Number of outcomes

Probability refers to a possibility that deals with the occurrence of random events also can be state as all the events occurring need to be 1.

What is the Probability in Maths?

Probability means possibility. This is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.It has been introduced in Maths to predict how likely events are to happen.

Formula for Probability:-

This can be defined as the possibility of an event to happen is equal to the ratio of the number of favourable outcomes and the total number of outcomes.

Here Probability of event to happen can be written as;

P(E) = Number of favourable outcomes/Total Number of outcomes

Learn more about probability here;

https://brainly.com/question/9326835

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Graph the line has a slope of 1/4 and includes the point (-2,0)

Answers

You can use the equation y = 1/4x + 1/2 to graph it.

The graph should look like this:

FOUR balls are selected from a bag containing 15 red and 5 blue balls. What is the probability that:
(a) exactly 3 are red if the balls are replaced each time?
(b) exactly 3 are red if the balls are not replaced?

Answers

The answer would be it’s exactly 3 are red if the balls are not replaced so B

HELP ME PLEASEEEEEEEEEEE

Answers

Divide by 8 both sides to isolate k and u get k = 7

Answer:

7

Step-by-step explanation:

7 times 8 =56

The family is having grilled steak for dinner. Ian gets a 7-ounce steak. He eats 1/2 of it. How many ounces of steak does he eat?

Answers

Answer:

3.5 ounces

Step-by-step explanation:

HELP ME PLEASEEEEEEEEEEEEEEEE

Answers

Answer:

76

Step-by-step explanation:

Find unit rate round to nearest hundredth if necessary.

Brainliest

Please don’t put any files I cannot download them. Therefore I cannot accept files please and thank you.

Answers

Answer:

Step-by-step explanation:

0.57 . im guessing

453-44:6*7/2-678
Heeeeeeelp

Answers

Answer:

[tex]\frac{-752}{3}[/tex]

Step-by-step explanation:

32% of what number is 8

Answers

Answer:

25

Step-by-step explanation:

x= the number

(32/100)*x=8

x=8*(100/32)

x=25

What would the answer be for this equation? 3a^3b^2x2a^2b^5

Answers

9514 1404 393

Answer:

6a^5b^7

Step-by-step explanation:

The applicable rule of exponents is ...

  (a^b)(a^c) = a^(b+c)

__

It looks like you want to simplify ...

  [tex]3a^3b^2\times 2a^2b^5=(3\cdot2)a^{3+2}b^{2+5}=\boxed{6a^5b^7}[/tex]

Answer:

6a^5b^7

Step-by-step explanation:

The applicable rule of exponents is ...

 (a^b)(a^c) = a^(b+c)

 

Algebra 2 PLEASE HELP
If a population grows by 90%, what is the multiplier?
If the answer is a decimal, round to the nearest thousandth

Answers

Answer:

1.9 is the multiplier.

Step-by-step explanation:

I picked a random number (6) and times it by .90. Then, I added my result to 6. I then divided six by my result to get the multiplier.

23. The probability that the vehicle is a motorcycle and not blue.
A. P(MNB)
B. P(BUM)
C. P(B)
D. P(BNM)

Answers

We need to see the full picture or question before being able to answer.
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