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OlgaM077 [116]
3 years ago
14

Which equation describes a relationship that is directly proportional?

Mathematics
1 answer:
mixer [17]3 years ago
3 0

Answer:

(C) y = 3x

Step-by-step explanation:

Directly proportional relation is one in which the value of x and y gets increases or decreased in same proportion.

example of such relation can be y = kx

where k is the constant of proportionality which depicts by how much value of  y will change in response to change of x.

_______________________________________________

now in the option

A and B

y= 9 , y =1/5

value of y is constant and does not depend on other variable. it value will remain same.

for y = x+4

value of y increases with x but it does not increase proportionally.

let see an example for x =1 , y = 1+4 = 5

x =2 , y = 2+4 = 6

(1,5)  and (2,6) are not proportionally changing also this equation is not of form y = kx

thus, it is incorrect option.

_______________________________

(C) y = 3x

here equation is form y =kx .  in place of k there is 3

let see an example for x =1 , y = 3*1 = 3

x =2 , y = 3*2 = 6

(1,3)  and (2,6) are  proportionally changing (1/3 = 2/6) also this equation is  of form y = kx

thus, it is correct option.

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Answer:

\left \{ {{x+y=1} \atop {2x+2y=2}} \right.

Step-by-step explanation:

As long as the two equations represent the same straight line on the coordinate plane (they overlap), there will be infinite many intersections and infinite number of solutions.

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Answer:

2 x 2 x 2 x 3

Step-by-step explanation:

Find two numbers that multiply together to form 24:

2 x 12 = 24

Find two numbers that multiply together to form 12, a factor of 24. Replace 12 with these numbers:

2 x (2 x 6) = 2 x 12 = 24

Find two numbers that multiply together to form 6, a factor of 12. Replace 6 with these numbers:

2 x (2 x (2 x 3)) = 2 x (2x6) = 2 x 12 = 24

Two and three cannot be factored any further, therefore the prime factors of 24 are 2, 2, 2, and 3.

8 0
3 years ago
A marble jar contains 1 blue, 2 green, 3 red, and 5 yellow marbles. If a single marble is drawn at random from the jar, what is
AleksAgata [21]

Answer:

4/11

Step-by-step explanation:

1 blue, 2 green, 3 red, and 5 yellow marbles.= 11 marbles

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5 0
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Help me please show me step by step how to do this it is due soon
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Answer:

9x-2=5x+54

9x-5x=54+2

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180-124=56°

10y+6=56

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