Mathematics Middle School

The following table shows several ordered pairs of a function, m(x)

x m(x)
-1 -1.5
1 1.5
2 3
4 6

Graph m(x) on a coordinate plane to determine whether or not the function represents a direct variation. In complete sentences, describe your conclusion and reasoning. Include your graph in your answer.

Answers

Answer 1

Answer:

  m(x) = 1.5x . . . . direct variation

Step-by-step explanation:

You want to know if the function m(x) represents direct variation, given a table of values.

Direct variation

An equation for direct variation is ...

  y = kx

where k is a constant that can be found as the ratio of any (x, y) pair:

  k = y/x

  k = -1.5/-1 = 1.5/1 = 3/2 = 6/4 = 1.5

The ratios are constant, hence m(x) is direct variation with a constant of variation of 1.5.

Graph

The graph of direct variation is a straight line through the origin. The given points lie on such a line.

The Following Table Shows Several Ordered Pairs Of A Function, M(x)x M(x)-1 -1.51 1.52 34 6Graph M(x)

Related Questions

he number line shows the solution set of which inequality?
A horizontal number line is labeled from 51 to 52. There is a closed circle at 51.52, and the number line is shaded to the right of 51.52.

A. j/4.6 > 11.2
B. j/1.5 > 16.3
C. j/12.7 > 19.6
D. j/1.4 > 1.1

Answers

Answer: B hope is correct

what is the surface area

Answers

Answer:

75 cm^3

Step-by-step explanation:

The small prism is 3x smaller than the large prism (look at lengths given).

Thus, as the surface area of the small prism is 25 cm^3 the larger prism will be 3x as much surface area.

25 x 3 = 75

Therefore, the surface area will be 75 cm^3.

Answer: 225

Step-by-step explanation:

9 x 25 I believe I’m so sorry if it’s wrong but the s2 should be the long side

Solve the word problem below

Answers

Answer:

View the image above

Step-by-step explanation:

Distance = 60 miles per hour

Time = ?

Distance = 150

Time = 2/120 × 150 = 2.5

Solve the rest!

Have a nice day!!!

the distance would be: 150, the time would be: ?

Use equivalent fractions to order these fractions from least to greatest: 2 over 3 , 1 over 2, 4 over 12, 5 over 6 . Explain the steps you took to find your answer.

Answers

Answer:

so u take 4/12 and do it to 1/3 then try to do lest to greatest

Step-by-step expla

2/3 5/6 1/2 1/3 try

So the fractions will be 2/3, 1/2, 4/12, and 5/6. 4/12 would be the least because when simplified, it is 1/3. Then would be 1/2 followed by 2/3 because 2/3 is more than a half. And the greatest would be 5/6 because if all the fractions had a common denominator of 3 the 5/6 would have the greatest numerator (2.5)

What changes would you make to solve any problems you might have in your society?

Answers

I would change the way people view others, because if we all have the right view of each other we will understand that we all have different opinions and that is okay.
I would stop people from ruining the environment!

Could someone please help me

Answers

Answer: Answer:

Step-by-step explanation: Step-by-step explanation:

Marvin was in charge of ordering sodas for the class fundraiser. He made a circle graph to show the number of each size of soda. However, he accidently put his work in the graph showing the degree measures he used to make the chart instead of the number of sodas he needed and he threw away his original paper showing the number of each. Help him figure out how many of each size of soda he needs to order by answering the questions below. (Hint: There are 360 degrees total in a full circle.)

Answers

Answer:

for a: small=17% medium=38% large=33% extra large=13%

Step-by-step explanation:

Small17% medium=38% large=33%

Solve for x.

A) 30
B) 45
C) 60
D) 90

Answers

180-90=90
2x+x=90
3x=90
X=30
A
( A) the answer to this question is A

What are the coordinates of the image of (1, 3), where R(−3, 5) is the center of dilation with scale factor 0.5?

PLS ANSWER QUICK

Answers

Answer:

the coordinates of the image D are (-1, 4)

Step-by-step explanation:

To find the coordinates of the image D, we need to apply the dilation transformation centered at R(-3, 5). Let the scale factor be k.

The x-coordinate of D will be shifted k times the distance between 1 and -3, which is 4 units, from the x-coordinate of R, which is -3. So we have:

0.5 = -3 + k(4)

Solving for k, we get:

k = 1.375

Similarly, the y-coordinate of D will be shifted k times the distance between 3 and 5, which is 2 units, from the y-coordinate of R, which is 5. So we have

R: (x, y) = (-3, 5)

D: (x, y) = (-3 + 1.375(1 - (-3)), 5 + 1.375(3 - 5))

D: (x, y) = (-1, 4)

Therefore, the coordinates of the image D are (-1, 4), which is option D.

(-1,4) are the coordinates of the image

Help asap!!! Easy math!!! Offering brainiest!!!

Answers

Answer:

64

27

6

15

Step-by-step explanation:

64 is a cube and is even,

27 is a cube and not even,

6 is not a cube and is even,

and finally 15 is a not a cube and is not even,

I think the even part is 64 ‍♂️

A startup software company’s total investment for the first two years is $24,894. Write and solve an equation to find the investment for the second year if the first year’s investment is $12,955.

Answers

Answer:x=9689

Step-by-step explanation:based on given conitions,formulate:13205+x=22894

Answer:

12,955 + x = 24,894

x = 11,939

Mrs. Irons places the names of each of her four children in a hat at one time. She randomly draws a name, places it back in the hat, and draws again. The results are shown in the table below.

What is the experimental probability of selecting the name Alex?

Answers

Answer:

As a Fraction : 4/10

As a Decimal : 0.4

Honors Refresher Quiz #8 1. If a figure is dilated by a scale factor of 12, the area of the figure will change by a factor of​

Answers

Answer:144

Step-by-step explanation:

When area is dilated you have to multiply the dialation factor by itself, in this case (12 x 12)

Answer to the question is 144

50 POINTS PLS HELP AND BRAINLIEST

Answers

32 because you divide 3 buses from 96 and you get that answer

How can we use the distributive property to find an expression equivalent to 4(5−3x)
? Place the steps in order.

Answers

Answer:

Multiply 4 by  5 and 4 by 3x

Step-by-step explanation:

4 ( 5 -3x ) =

4 x 5   +   (4)(-3x)

Answer:

4(5-3x)

4(5) -4(3x)

20-12x

HELPPPPPPPP
If f(x) = 2x - 5, then f(4) is _____.

17
3
4
5
If f(a) = 3a – a2, which of the following are not true statements?

Select all that apply.

f(-5) = -40
f(4) = -4
f(-1) = 2
f(0) = 3
f(3) = 0

Answers

Answer:

1st is 3, 2nd i didnt learn this sorry

Step-by-step explanation:

F(4)=2(4)-5

f(4)=8-5

So, f(4) =3

Answer for #1 is 3
Question number 2 is a bit difficult I’m sorry.

Choose one point on the scatterplot. What does it represent?
What type of data is best for scatter plots? please don't give a short once sentence explanation

Answers

Answer:

decrease

Step-by-step explanation:

this graph is showing a decorative response to whatever content.

Rita gets paid $16 per hour for the first 8 hours she works each day. She earns 1 1/2 times her hourly pay rate for time she works over 8 hours each day. Rita′s work day for Monday is described in the list. worked from 8:00 a.m. to 12:00 p.m. took a 30-minute lunch break worked until 6:00 p.m. Rita does not get paid for her lunch break. How much money did Rita earn for the time she worked on Monday? Show or explain all of the steps you used to determine your answer.]

Answers

Answer: $158

Step-by-step explanation:

$16(8) + $24(1 ¼) = $128 + $30 = $158

Rita earned a Total of $196 for the time she worked on Monday.

To determine how much money Rita earned for the time she worked on Monday, we need to calculate her earnings for each portion of the day separately.

1. From 8:00 a.m. to 12:00 p.m. (4 hours):

Rita worked for 4 hours within the first 8 hours, so she earns her regular rate of $16 per hour for this time:

Earnings = 4 hours * $16/hour = $64.

2. From 12:30 p.m. to 6:00 p.m. (5.5 hours):

Rita worked for 5.5 hours beyond the initial 8 hours, so she earns 1.5 times her regular rate for each of these hours:

Earnings = 5.5 hours * ($16/hour * 1.5) = $132.

Now, we can sum up Rita's earnings for both periods:

Total earnings = Earnings from the first period + Earnings from the second period

Total earnings = $64 + $132

Total earnings = $196.

Therefore, Rita earned a total of $196 for the time she worked on Monday.

For more questions on Total .

https://brainly.com/question/30612486

#SPJ8

Drag each expression to show whether it is equivalent to 36x+9
or 9(4x−1)
.

Answers


In order to find out what 36x + 9 is equivalent to,, we must factor out 9 from the expression. Once we do this you will find that this expression is equivalent to 9(4x + 1),, or option E.
Next we will look at the expression 9(4x-1). In order for us to find out the equivalent to this expression,, we must first multiply each term in the parenthesis by 9.
9 × 4x - 9
Now calculate the product
36x - 9
This means that the equivalent for this expression is
36x - 9,, or option A.
Lastly,, we will look at the final expression given which is 4(9x + 2). The first step for finding the equivalent of this expression is to multiply the numbers in the first parenthesis together.
(36x) + (4 × 2)
Now multiply the numbers in the second parenthesis together.
(36x) + 8
Remove the parenthesis
36x + 8
Now factor out 4 from the expression to get your final answer.
4(9x + 2)
This means that the last expression is equivalent to 4(9x + 2),, or option C.
Let me know if you have any further questions
C because the last expression is equivalent to 9(4x-1).

Four swimmers are training for a relay race. Each day they practice by swimming at least 1,600 yards total. The friends evenly divide the number of yards they swim.

Write and solve an inequality to determine how many yards each friend will swim. Show all your work.

Answers

Answer:1600/4=400

Step-by-step explanation:

What is likely to have a mass close to 3 kilograms
A. 5-year-old-child
B. A Bowling ball
C. A lemon
D. A lion

Answers

B. A Bowling ball

3 kilograms is approximately 7 pounds, the weight of most Bowling balls

B. A Bowling ball

Step-by-step explanation:

Options A and D are most likely to weigh more than 3kg and option C will most likely weigh less but option B can weigh up to 3kg

Could someone help me fast

Answers

Answer:

A movie is $2.5

A video game is $6

Step-by-step explanation:

Pre-Solving

We are given that Ann had rented 2 movies and 5 video games for a total of $35.

We also know that she also rented 8 movies and 3 video games for a total of $38.

We want to know how much a movie costs, and how much a video game costs.

If a movie costs x dollars, then a video game costs y dollars.

Solving

This means that costwise, 2 movies will cost 2x, and 5 video games will be 5y.

8 movies will cost 8x, and 3 video games will cost 3y.

So, we will have two equations:

2x + 5y = 35

8x + 3y = 38

We now have this system of equations, which we can solve.

Let's solve this by elimination.

To eliminate, we need to clear one of the variables, and solve for the other one.

To do this, we need to make sure that one variable has the same coefficient with opposite signs (e.g. -3x and 3x). We might need to multiply one equation by a number in order to achieve this.

We can multiply 2x + 5y = 35 by -4.

-4(2x + 5y) = -4(35)

-8x - 20y = -140

We can rewrite the equations:

-8x - 20y = -140

8x + 3y = 38

They can be added together. The result will be:

-17y = -102

Divide both sides by 017.

y = 6

We found y, but now we need to find x.

We can substitute 6 as y into 2x + 5y = 35 or 8x + 3y = 38 to find x.

Taking 2x + 5y = 35 for instance:

2x + 5(6) = 35

2x + 30 = 35

Subtract 30 from both sides.

2x = 5

Divide both sides by 2

x = 2.5

Recall that x = price of a movie, and y = price of a video game.

Therefore, a movie is 2.5 dollars, and a video game is 6 dollars.

a movie is $2.50

and a snack is $6

Solve the word problem below

Answers

Solution

The distance is going by 30 and then u divide that by 60

Explanation

150+30=180 distance

180/60=3 hours

U go like this till u get till 4.5 hours
If a can of paint can cover 600 square inches, how many cans of paint are needed to cover 1,880 square inches

80 points ★ plsss answer these worded problems !!

★ / mrs . green has 8.25 cups of flour for her cooking class. Hector uses 3.75 cups of flour to bake cookies . how much flour is left ?

★ / mr . trang bought 15.5 ft of rope to make a swing . after making the swing , 3.375 ft of rope are left . how much rope did mr . trang use in the swing ?

★ / a street sign is attached to a 92.75 in long pole . the pole is buried 24.25 inches below ground . whats the length of the pole above ground ?

★ / kim lip ( haha ) filled a pitcher with 259/12 [fraction] ounces of water . She
spilled 0.25 ounce when she placed the pitcher on the
table . how much water is left in the pitcher ?

★ / travis is swimming 3.25 feet below the surface of the
water . connor is swimming 5.75 feet below the surface
of the water. how far apart are travis and connor ?

Answers

Answer:

1: 4.5 cups of flour

2: 12.125 ft of rope

3: 68.5 inches above ground

4: 21.3333..... ounces of water

5: 2.5 ft below the surface

Step-by-step explanation:

1: 8.25-3.75=4.5

2: 15.5-3.375=12.125

3: 92.75-24.25=68.5

4: (259÷12)-.25=21.33333.....

5: 5.75-3.25=2.5

ANSWER? PLSSSSSSSSSSSSSSSSSSS

Answers

Answer: I might be wrong, but I think its just $53.50

The answer is $53.50

Can someone help?- I will mark brainliest !!

Answers

It is proportional by 2/3 because if you put y/x and simplify the fraction you get that each fraction is simplified to 2/3 which means they are proportional. I hope this helps. If not make a comment and ask.
2/3, you can tell by the y divided by x and simplify it

What's the median for these set of numbers and do it step by step explanation. 3,2,3,4,3,5,7,5,4

Answers

The answer is 3 it’s the one in the middle.
I hope this helps! The median is just the number exactly in the middle, but if u have 2 in the middle, you can substract them from each other, halve that number and add it to the smallest number that’s in the middle.

Saturn's moon, Titan, has a radius of 2575 kilometers, which is covered by a 600-kilometer atmosphere. How much of the moon's volume is atmospheric haze?

Answers

Answer:

approximately 4.57 × 10^10 km^3 of Titan's moon is atmospheric haze.

Step-by-step explanation:

The answer is about [tex]4.57[/tex] × [tex]10^1^0[/tex] [tex]km^3[/tex] of the titan moons atmospheric haze.

Step-by-step explanation:

I did the test and got it right

hope this helps :)

pls help again with these chapes

Answers

Pretty sure it’s 6162
6162 I believe that’s correct

Triangle ABC is a scale drawing of Triangle XYZ, as shown.

Based on the information shown in these triangles, which of the following is a true statement?
A) The length of side XZ is 11.5.
B) The length of side XZ is 28.
C) The measure of angle A is equal to the measure of angle Z.
D) The measure of angle A is not equal to any of the angle measures of Triangle XYZ.

Answers

A) false
B) false
C) true
D) false
false false true true, but the last one might be false
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