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Mademuasel [1]
3 years ago
6

Which graph shows a proportional relationship?

Mathematics
2 answers:
Tasya [4]3 years ago
8 0

Answer: The first one is the proportion


Step-by-step explanation: the reason is because it starts at the orgin.


Verdich [7]3 years ago
6 0
Answer: The only graph that shows a proportional relationship is the line that crosses the origin point (0,0).

Explanation

The other graphs are linear functions but not not proportional relationships.

The general form of a proportional relationship is y = kx, where k is the proportionality constant. So, for x = 0 you will always obtain y = 0.

The general form of a linear relationshio is y = kx + b, being b the y-intercept, so if the y-intercept is not 0, it is not a proportional relationship. That is what happens with the other three graphs.
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Solve the word problem. Mario has 18 coins in his drawer. Five of the coins are nickels, and the rest are pennies. What is the t
Ilia_Sergeevich [38]

B.38 because if 5 of the 18 are nickels which equal 5 you have 13 coins left and you have 25 cents. Now the rest are pennies that equal one cent so you just add 13 to 25 and you get 38 cents
5 0
3 years ago
A line segment of length k is divided into 3 equal parts what is the distance between midpoints of the first and third segments
anastassius [24]

Line segment of length k is divided into 3 equal parts.

so first segment is 0-k/3 and third segment is 2/3k-k

so mid-pt of 1st = k/6 and 3rd = 5/6k

so the distance in between = 5/6k-k/6 = 4/6k = 2/3k

4 0
2 years ago
The measure of angle ABD is (0.15x+65) and the measure of angle CBD is(0.1x+28) . Find the value of x.
Andrej [43]

Answer:

x = 348

Step-by-step explanation:

The measure of angle ABD is (0.15x+65) and the measure of angle CBD is(0.1x+28) . Find the value of x.

0.15x + 65 + 0.1x + 28 = 180

0.25x + 93 = 180

0.25x = 180 - 93

0.25x = 87

x = 87/0.25

x = 348

3 0
2 years ago
Can you find the area please?
lilavasa [31]

Answer:

44

Step-by-step explanation:

you do 5x7  35 and 6x3 then divided by 2 is 9 and you add them up and you get 44.

Alternate solution. 5x3 divded 2 =7.5 plus 6x3 divided by 2 = 9 plus 7x ? = 27.5!

4 0
3 years ago
Read 2 more answers
Prove that the statement (ab)^n=a^n * b^n is true using mathematical induction.
mamaluj [8]

Answer:

see below

Step-by-step explanation:

      (ab)^n=a^n * b^n

We need to show that it is true for n=1

assuming that it is true for n = k;

(ab)^n=a^n * b^n

( ab) ^1 = a^1 * b^1

ab = a * b

ab = ab

Then we need to show that it is true for n = ( k+1)

or (ab)^(k+1)=a^( k+1) * b^( k+1)

Starting with

  (ab)^k=a^k * b^k    given

Multiply each side by ab

ab *  (ab)^k= ab *a^k * b^k

   ( ab) ^ ( k+1) = a^ ( k+1) b^ (k+1)

Therefore, the rule is true for every natural number n

5 0
3 years ago
Read 2 more answers
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