Mathematics College

Does the table below represent a proportional relationship?

A. Yes, because all the ratios of y to x are equal to 2.

B. Yes, because all the ratios of y to x are equal to 3.

C. No, because all the ratios of y to x are not equal.

D. No, because all the numbers are positive.

Does The Table Below Represent A Proportional Relationship? A. Yes, Because All The Ratios Of Y To X

Answers

Answer 1

The table represents a proportional relationship because all the ratios of y to x are equal to 3. (option B)

What is a proportional relationship?

Two variables exhibit a proportional relationship if the constant of proportionality remains constant for all the given values in the table.

The equation that is used to represent a proportional relationship is:

y = kx

Where:

k = constant of proportionality

Value of k when x is 1:

3 = k

Value of k when x is 2:

6 = 2k

k = 6 / 2

k = 3

Value of k when x is 3:

9 = 3k

k = 9 / 3

k = 3

Value of k when x is 4:

12 = 4k

k = 12 / 4

k = 3

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Related Questions

Which equation is part of the same fact family as 5 x 4 =20?

Answers

4x5=20 Hope this helps have a good rest of your day

Hello how to work out this question

Answers

Answer:

angle x is 69. angle y is 69 as well

Step-by-step explanation:

Which of the expressions below are equal to x2+2x−15? Select all that apply. A) x2+x−8+x−7 B) (x−3)(x+5) C) x(x+2+15) D) x2+x+x2+x−15

Answers

Answer:

A and B

Step-by-step explanation:

x2 + 2x − 15

A) x2 + x − 8 + x − 7

B) (x − 3)(x + 5)

Find the volume of the rectangular prism.

Answers

Answer:

1 1/2*3 1/2*5= 5 cm^3

Find the area of the shaded region.
40 ft
16 ft
14 ft
10 ft

Answers

Answer:

Area = 780 ft²

Step-by-step explanation:

Area of the shaded region = area of rectangle A + area of rectangle B

Area of rectangle A = L*W

L = 40 ft

W = 16 ft

Area of rectangle A = 40*16 = 640 ft²

Area of rectangle B = L*W

L = 10 ft

W = 14 ft

Area of rectangle B = 10*14 = 140 ft²

Area of the shaded region = 640 + 140 = 780 ft²

Which expression is equivalent to log 12 x^ 4 sqrt x^ 3 -2 (x+1)^ 5 ?

Answers

The equivalent expression of log₁₂(x⁴√x³) - 2(x+1)⁵ is 11/2log₁₂(x) - 2(x+1)⁵

How to determine the equivalent expression

From the question, we have the following parameters that can be used in our computation:

log 12 x^ 4 sqrt x^ 3 -2 (x+1)^ 5 ?

Express properly

So, we have the following representation

log₁₂(x⁴√x³) - 2(x+1)⁵

Evaluate the exponent

log₁₂(√x¹¹) - 2(x+1)⁵

Apply the power rule of logarithm

This gives

11/2log₁₂(x) - 2(x+1)⁵

Hence, the equivalent expression is 11/2log₁₂(x) - 2(x+1)⁵

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A factory that makes nails uses 675 inches of metal to make 450 nails. At this rate, how many inches of metal is needed to make 1 nail?

Answers

Answer:1.5 inches

Step-by-step explanation:

What is the volume of a cone with a radius of 5 inches and a helght of 12 inches ? (Use 3.14 for pi)

Answers

Answer:

Same Class lol

Step-by-step explanation:

hello i neeed help with my math question 5

Answers

Answer:

Add a file to it.

Step-by-step explanation:

We can't see anything.

Find the measure of arc DC ?

Answers

The measurement of DC is 155

Solve
3x 2 2x 5 1 x
—— —— ——
4 3 6

Answers

Answer:

6x/4×10x/3× x/6

5x^3/6

What is the solution to the system of linear equations?

Answers

Answer:

C. (0, 2)

Step-by-step explanation:

The solution to the systems of linear equations is the coordinates of the point (x, y) where both lines of the equations intercept each other on the graph given.

Thus, the lines intercept at the point where when x = 0, y = 2.

Therefore, the solution = (0, 2).

HELPPPPPP

Based on the graph below, what are the solutions to the equation f(x) = g(x)? (5 points)

graph of function f of x equals 3 times x minus 1. Graph of function g of x equals x cubed minus 3 times x squared minus 4 times x plus 12



x = −2.4, 1.4, 3.9

x = −2.4, 0.25, 1.4

x = −2, 2, 3

x = −2, 1, 3

Answers

Answer:

x = −2.4, 1.4, 3.9

Step-by-step explanation:

i literally just took the test so ik for sure its right:)

whats -8 + 1????????

Answers

Answer:

-7

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

"what is the median of the following values 9,9,2,8,11,6,4"

Answers

The median is 8 because it is right in the middle

Answer: 8

Step-by-step explanation:

Arrange the data in ascending order, and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.

Rearrange 9, 9, 2, 8, 11, 6, 4 in ascending order:

2, 4, 6, 8, 9, 9, 11

The number eight appears to be in the very middle, therefore it is the median.

what is the value of y when
-5= y-7 over 9

Answers

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Simplify –3V/24 + 5/32 - 7/54 + 8 50.

Answers

-1/8 v + 7367/864 is the answer

HURRY ASAP PLEASE!!! WORTH 20 POINTS! YOU WILL ALSO GET BRAINLYEST!

Kristy wants to know what the probability is that a card drawn randomly from a deck will be a club. Her sample space includes all 52 cards in a standard deck. Which of these outcomes compose the event?​

Answers

Answer:

someone deleted ur ans from y question can you please write it again

thank you.

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

find the value c that will make 9x^2 +30x+c a perfect square trinomial

Answers

Answer:

[tex] c = 25[/tex]

Step-by-step explanation:

Given :-

A quadratic equation is given to us.The equation is 9x² + 30x + c .

And we need to find out the value of c for which the given trinomial is a perfect square. On looking at the given expression all the terms are having positive signs before them .So we can rewrite it on the basis of ,

Identity :-

[tex]\implies (a+b)^2=a^2+b^2+2ab[/tex]

Let's try to set the equation on this Identity .

The firsr term is 9x² . We can write it as ,

[tex]\implies 9x^2=(3x)^2[/tex]

Hence the middle term here should contain 3 and 2 as their factors. Let's Break the middle term .

[tex]\implies 30x = 2.3x.5 [/tex]

Therefore in order to make the whole expression as perfect square 5² must be replaced by c . The expression would become ,

[tex]\implies 9x^2+30x + 5^2 \\\\\implies (3x)^2+2.3x.5 +5^2\\\\\implies (3x+5)^2[/tex]

Hence the value of c should be 25 .

C = 25 you just multiply step by step exactly how it shows it on the problem/how u wrote it

Write each as a decimal. State whether the decimal is repeating or terminating (1-7)

Write each decimal as a fraction (8-14)

No. 4 and 7 are mixed fractions

Answers

Answer:

0.625

0.035

etc.

Step-by-step explanation:

You just have to type the fraction in the calculator

Help me please?!?!!? I’ll give brainly!

Answers

Answer:

its the third one (6-2) x 5

Step-by-step explanation:

(6-2) × 5

Step-by-step explanation:

It's for 5 TIMES the DIFFERENCE of 6 and 2. I hope this helps, have a good day!

The perimeter of rectangle living room is 40 m the living room is 10 m wide what is the length of the living room

Answers

Answer:

Width of the room = 5 meters

Step-by-step explanation:

the rectangular living room is calculated as length * width

The area is given to be equal to 40 sq. meters (area = 40 sq. meters)

Let the width = x meters

Length = X+3 meters

Area = Length * Width

40 = X * (X+3)

40 = X^2 + 3X

We solve this quadratic equation

So x = 5 or x= -8

Width  cannot be negative, so we reject x =-8

So x = 5 is the answer

Answer:

10

Step-by-step explanation:

i got it right

Ben has 1/2 cup of sugar he uses of the 1/5 sugar. What fraction of the sugar did Ben uses to make lemonade?

Answers

Answer:

3/10

Step-by-step explanation:

i

Answer:

3/10

Step-by-step explanation:

Multiply 1/2 by 5 to reach 5/10 and 1/5 by 2 to reach 2/10. Then subtract 2/10 from 5/10 to achieve the answer 3/10.

HELPPP PLEASEEEEE, BRIANLEST WILL BE GIVEN ON CORRECT!​

Answers

6/5=1,

11/7=2,

21/4=5,

32/7=5,

24/9=3

25/6=4

Hope this helps xoxo

-2a2-4a+16 cuando a=-2​

Answers

Answer:

0

Step-by-step explanation:

-2 * -2 = 4

4  * 2 = 8

4 * -2 = -8 + 16 = 8

8-8 = 0

Find the range of the following details

Answers

Mean- 6.22
Median- 5
Mode- 11 (appears 2 times)
Range- 14

Mr kirk has 6 boxes of 20 oranges how many does she have in total

Answers

Answer:

120

Step-by-step explanation:

6 x 20 = 120

Before a renovation, a movie theater had 112 seats. After the renovation, the theater has 168 seats. What is the approximate
percentage increase of the number of seats in the theater? If necessary, round to the nearest tenth of a percent
OA. 33.3%
ОВ.
50%
OC. 56%
OD. 20%

Answers

First off, you want to know the actual numerical increase there has been. That is 168-112, which is 56.

So find 56 in terms of percentage of 112. To do so, simply divide 56/112 to get 0.5. That is 50.0% in terms of percentage.

The answer is B.

plz help me 5th grade work

Answers

Answer:

228 chocolate chips

Step-by-step explanation:

I don't really know the methods you used because I didn't use them in 5th grade. But the answer is 228 chips.

38 + 38 + 38 + 38 + 38 + 38 = 228

Answer:

1. 6x30 = 180

  6x8 = 48

180+48 = 228

2. 38 x 6 = 228

The graph of a function f(x) passes through the following points:
(0,2), (1,0),(-1,0)
Which of the following could be f(x)?
O f(x) = - 2x2 + 2
O f(x) = 2x + 2
O f(x) = -27x + 2
O f(x) = - 2x + 2

Answers

Answer:

All of the them excluding f(x)=-27x+2

The required function is [tex]f(x)=-2x^2+2[/tex]. Hence, option a is correct.

Important information:

The graph of a function passes through the points (0,2), (1,0) and (-1,0).Quadratic function:

The graph has two x-intercepts (1,0) and (-1,0). It means it is a quadratic function and [tex](x-1)[/tex] and [tex](x+1)[/tex] are two factors.

[tex]f(x)=a(x-1)(x+1)[/tex]

[tex]f(x)=a(x^2-1)[/tex]         ...(i)

The graph passes through the point (0,2). Substitute [tex]x=0,f(x)=2[/tex] in the above function.

[tex]2=a(0^2-1)[/tex]

[tex]2=-a[/tex]

[tex]-2=a[/tex]

Substitute [tex]a=-2[/tex] in (i).

[tex]f(x)=-2(x^2-1)[/tex]

[tex]f(x)=-2x^2+2[/tex]

Therefore, the correct option is a.

Find out more about 'Quadratic function' here:

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