Mathematics High School

Write an equation to describe the proportional relationship in this table. Explain your thinking and how you got your answer.

PLEASE HELP!! I DONT KNOW WHAT TO DO

Write An Equation To Describe The Proportional Relationship In This Table. Explain Your Thinking And

Answers

Answer 1

Focus on the values in red outside the table (on the left and right sides). As the output increases by 4, the input increases by 1. This leads to the slope being rise/run = 4/1 = 4. The slope is the number just to the left of the x variable. So that's how they ended up with the equation y = 4x.

You can think of it as y = 4x+0, and note how it's in the form y = mx+b

m = 4 = slope

b = 0 = y intercept

The y intercept is the value of y when x = 0.

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Now because x = 0 and y = 0 pair up together, we can find the slope a different way: Pick any row other than the first row. Divide the y value over its paired x value. So let's say we pick on row two and we'd get a slope of y/x = 4/1 = 4.

Or we could pick on row three and get y/x = 8/2 = 4.

Picking on the fourth row gets us the slope to be y/x = 12/3 = 4. We end up with the same slope value each time. Again, this trick only works if (x,y) = (0,0) is on the line. Otherwise, you'll need to use the first method or use the slope formula.

For equations like this, we consider them a direct proportion. As x increases, so does y. As x increases by 1, y increases by 4. This is the same throughout the table.

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A real world example of this could be that x represents the number of sodas you buy, and if each soda is $4, then y = 4x represents the total cost of buying x number of sodas.

For instance, if you bought x = 10 sodas, then y = 4*x = 4*10 = 40 dollars is what you spend overall.

Related Questions


Explain why the natural numbers represent a subset of the integers

Answers

Every natural numbers represent subset of the integers because integers consists of positive and negative numbers and natural numbers are positive numbers 1 to infinity.

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using the equation, what height was the rocket launched from? y=-16x^2+57x+32

Answers

9514 1404 393

Answer:

  32 feet

Step-by-step explanation:

0 seconds after launch, the rocket is still sitting on the tower. Its height is...

  y = -16(0^2) +57(0) +32

  y = 0 + 0 + 32 = 32

The rocket was launched from a tower 32 feet high.

If x = 8 units, y = 6 units, and h = 4 units, then what is the area of the parallelogram shown above? A. 24 square units B. 32 square units C. 28 square units D. 48 square units

Answers

Answer:

c

Step-by-step explanation:

Please help me ASAP!!!

Answers

Answer:

the third one (2,-18)

Step-by-step explanation:

A floor mat for gymnastics is a square with a side length of 14m. What is the area of the floor mat in square metres? Explain?

Answers

Answer:

196 square meters

Step-by-step explanation:

If the floor mat is square and one side is 14m then all sides are 14m. Given this you would find area by multiplying length by width.

L=14 W=14

14x14=196

There are 196 square meters

A coach records the ages of the players on two of her teams. Which statement about the ages of the students is true? A The range of ages is the same for both teams.The range of ages is the same for both teams. B The mode(s) of the ages is the same for both teams.The mode(s) of the ages is the same for both teams. C The mean age of the players on the volleyball team is less than the mean age of the players on the baseball team.The mean age of the players on the volleyball team is less than the mean age of the players on the baseball team. D The median age of the players on the volleyball team is greater than the median age of the players on the basketball team.

Answers

Answer:

Bro u need to put in the graph or the chart or something

Step-by-step explanation:

Help

Help

Help

Help. Help help help help help help help help

What is the measure of ∠A, the exterior angle of the triangle shown below? F. M∠A = 92°, because 180 – (50 + 38) = 92. G. M∠A = 272°, because 180 – (50 + 38) = 92 and 92 + 180 = 272. H.M∠A=78°,because 50–38=12and90–12=78. J. M∠A = 88°, because 50 + 38 = 88.

Answers

Answer: A is 88

Step-by-step explanation:

Sum of all angles is 180 degree.

Let the third interior angle be x.

38+50+x=180

88+x=180

x= 92

A and X are in linear pair.

A+X=180

A+92=180

A=88

Question 2 options:
A pile of sand is in the shape of a cone. The diameter of the sand pile is 22 feet and the height is 12 feet.

The volume of the sand pile is approximately___ cubic feet.

Use 3.14 for pi. Do not round your answer.

Answers

7736.4uhshshszszehzeehe

Solve the algebraic expression , is it equivalent?

Answers

Answer:

No

Step-by-step explanation:

When  you distribute the -2 you get 6x -2x+2. When  you simplify it you get 4x+2 which is different than 4x-2.

Find the area of the given triangles. please and thank you

Answers

Answer:

6cm squared

Step-by-step explanation:

to find the area of a triangle, it is base x height divided by 2

4 x 3 = 12

12 divided by 2 = 6

If a Hasan can eat 1/3 of his Shawarma in 1/2 minutes, how many Sharama’s can he eat in 2 minutes?

Answers

Answer:

He can eat 4/3 or 1 1/3 of his shawarma

Step-by-step explanation:

The circle with center O has a circumference of 36 units. What is
the length of minor arc AC?
А.
A. 9 units
B. 12 unh's
C. 18 units
D. 36 units

Answers

I think the answer is D

Consider the diagram below. Which of the following represents the value of the missing side? Round to the nearest tenth.

Answers

answer 2.5 i have solved the problem three times in my geometry class and got the same answer all three times

Considering the diagram below the value which represent the missing side, round to the nearest below, tenth, is 2 units.

What is Pythagoras theorem?

Pythagoras theorem says that in a right angle triangle, the square of the hypotenuse side is equal to the sum of the square of the other two legs of right angle triangle.

The image of the given problem is attached below. In this diagram, the radius of the circle is 1.5 meter long.

The triangle ABC shown in the graph is right angle triangle as, the tangent of the circle is perpendicular with the radius of it at the point of contact.

Thus, by the Pythagoras theorem,

[tex](AB)^2+(BC)^2=(AC)^2\\(1.5)^2+(x)^2=(1.5+1)^2\\(x)^2=(2.5)^2-(1.5)^2\\x=\sqrt{6.25-2.25}\\x=\sqrt{4}\\x=2\rm\; units[/tex]

Thus, considering the diagram below the value which represent the missing side, round to the nearest below, tenth, is 2 units.

Learn more about the Pythagoras theorem here;

https://brainly.com/question/343682

#SPJ2

Find the area of the SHADED region.
Round to the nearest TENTH if necessary.

Answers

Answer:

112

Step-by-step explanation:

18×8= 144 for the area of the entire rectangle.

4×4= 16/2=8 for the area of the triangle.

8×4=32 because there are 4 triangles.

144-32=112 because you don't want the area of the triangles only the shaded area

Simplify:
[tex]\frac{6^{3}-7\cdot3^{4}-2^{5}\cdot9}{\left(1-2^{3}\right)^{3}+7^{3}}[/tex]

Answers

Answer:

Simplifed:

[tex]\frac{6^{3}-7\cdot3^{4}-2^{5}\cdot9}{\left(1-2^{3}\right)^{3}+7^{3}}[/tex]

[tex]\frac{6^{3}-7\cdot3^{4}-2^{5}\cdot9}{\left(1-2^{3}\right)^{3}+7^{3} } \\ \frac{216 - 567 -288 }{ { - 7}^{3} + {7}^{3} } \\ \frac{ - 639}{0} [/tex]

infinity

Can someone help me with this?

Answers

Answer:

G

Step-by-step explanation:

Please help solve correctly. NO links or files. Correct answers only if not report. I will even give an additional 10 if correct.

Answers

Answer:

144.51326 [tex]cm^{2}[/tex]

Step-by-step explanation:

A = 2πrh + 2π[tex]r^{2}[/tex]

d = 4

r = 4/2 = 2 cm

h = 9.5cm

A = 2π(2)(9.5) + 2π[tex](2)^{2}[/tex]  = 144.51326 [tex]cm^{2}[/tex]

Don't know if you need to round it or not

Ryan is installing new flooring in house. Ryan can install 196 square feet of flooring in 2 hours How much new flooring can Ryan install in 16 hours? Please let me know !

Answers

Answer:

1568

Step-by-step explanation:

196/2=98

98*16=1586

Ryan can install 1568 square feet of flooring in 16 hours

Hope this helps!

Help please I’ll mark you brainliest!!

Answers

Answer:

35 ft

Step-by-step explanation:

Sorry this took me so long, I am 99% sure it is right though

I hope this helps :)


here’s the
question to my last
post :)

anyways

Answers

1 Pint 4 Fluid Ounces!

18.6 in

Which is the best approximation for the measure of angle

EGF?

32.8°

40.2

OOO

49.8°

57.2

Answers

Answer:

The answer is "[tex]40.2^{\circ}[/tex]"

Step-by-step explanation:

Please find the graph file.

Let

[tex]\angle EGF = x\\\\\sin x = \frac{12}{18.6}\\\\\sin x = 0.6452 \\\\x = \sin^{-1} (0.64516129) \\\\x = 40.1777695^{\circ} \approx 40.2^{\circ}[/tex]

What is the standard form of a trinomial?

Answers

Answer:

ax2 + bx + c

Step-by-step explanation:

the 2 is the square

A cylindrical soup can has a diameter of 3.8 in. and is 5.4 in. tall. Find the volume of the can.

Answers

Answer:

the volume of the can is 61.21 cubic inches

Step-by-step explanation:

Given that

The diameter is 3.8 inches so the radius would be = 3.8 ÷ 2 = 1.9 inches

And, the height of the cylindrical soup is 5.4 inches

We need to find out the volume of the can

As we know that

The volume of the can is

[tex]Volume = \pi r^2h\\\\Volume = 3.14 \times 1.9^2 \times 5.4[/tex]

Volume = 61.21 cubic inches

Hence, the volume of the can is 61.21 cubic inches

what is 4 1/2 plus 6 2/5

Answers

Answer:

10.9

Step-by-step explanation:

4 1/2 plus 6 2/5=10.9

Answer: 10.9

Step-by-step explanation:

You choose two different movies on a list at random. Out of 10 movies on the list, 6 are action movies. The first movie you choose is an action movie. What is the probability that the second movie is also an action movie? Write your answer as a fraction in simplest form.

Answers

Answer:

5/9  

Step-by-step explanation:  

You have 10 movies in total. You take 1 out of 6 action movies. Now you have 5 action movies left, so that means the probability is 5/9. It's 5/9 because you chose 1 action movie out of 10 movies in total, so that means there are 9 movies in total left.

Please answer ☻
Convert the following number to a percentage find the value that belongs in the box.
333 = __%

Answers

Answer:

3 (or 3.33)

Step-by-step explanation:

333 as a percent is 3.33

this rounds down to 3, so 3 is your answer

i need help asap please

Answers

Answer:

1. 1570

2. can't see properly

3. can't see properly

4. 392.5

5. 615.4

6. 6049

7. not clear can't see

8. 1589

9.:1570

PLEASE HELP ME WITH GEOMETRY!!!!

Answers

Answer:

R 29

Step-by-step explanation:

tan x = 7.7/14 = 2.8.8

AC opposite

BC adjacent

AB hypotenuse

Answer:

R

Step-by-step explanation:

S and P would be too high

ABR makes the most sense

because x = 7.7/14 = 2.8.8

select the compound inequality shown on the graph.

Answers

it's C i don't really have an explanation but notice me if you need one

Solve these equations: tan^2x-3tanx+2=0

Answers

Let u be the value of tan(x) and that the equation above may also be written as,
u² - 3u + 2 = 0
The equation can be factored as follows,
(u - 1)(u - 2) = 0
u - 1 = 0 ; u = 1 and u - 2 = 0 ; u = 2
Thus, tangent(x) = 1 and tangent(x) = 2. The values of x are 45° and 63.43°.
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