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OverLord2011 [107]
3 years ago
7

A proportional relationship is shown in the table below: x 0 3 6 9 12 y 0 0.5 1.0 1.5 2.0 What is the slope of the line that rep

resents this relationship? \qquad Graph the line that represents this relationship.

Mathematics
1 answer:
ycow [4]3 years ago
4 0

Answer:

Take two point from the table, doesn't matter which ones, because this is linear. I will choose (0,0) and (3,.5).

Now follow the equation for slope: m = change in y / change in x.

\frac{y2-y1}{x2-x1}

\frac{.5-0}{3-0}

\frac{.5}{3}

\frac{1}{6}

The slope is 1/6. m=1/6

Its y-intercept is at 0. b=0

So the equation is y = 1/6x. The graph is attached.

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Step-by-step explanation:

g. (1/4 + 1/2) = 3/4

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Which situation is represented by the inequality? 7x + 50 > 4x + 100 ) Molly has $50 and Mary has $100. Molly saves $4 per we
a_sh-v [17]

This question was not written properly

Complete Question

Which situation is represented by the inequality? 7x + 50 > 4x + 100

a) Molly has $50 and Mary has $100. Molly saves $4 per week and Mary saves $7 per week. How long will it be before Molly has more money than Mary?

b) Molly has $50 and Mary has $100. Molly saves $7 per week and Mary saves $4 per week. How long will it be before Molly has more mon than mm Mary?

c) Molly has $50 and Mary has $100. Molly saves $4 per week and Mary saves $7 per week. How long will it be before Molly and Mary have the same amount of money?

d)Molly has $50 and Mary has $100. Molly saves $7 per week and Mary saves $4 per week. How long will it be before Molly and Mary have the same amount of money?​

Answer:

b) Molly has $50 and Mary has $100. Molly saves $7 per week and Mary saves $4 per week. How long will it be before Molly has more mon than mm Mary?

Step-by-step explanation:

In the above question, we are given an inequality equation

7x + 50 > 4x + 100

To find the best expression that represents this equation we would analyse the 4 options that we were given

a) Molly has $50 and Mary has $100. Molly saves $4 per week and Mary saves $7 per week. How long will it be before Molly has more money than Mary?

Let the number of weeks money is saved be represented by x

Hence,

Molly > Mary

4x + 50 > 7x + 100

Option a) is Incorrect

b) Molly has $50 and Mary has $100. Molly saves $7 per week and Mary saves $4 per week. How long will it be before Molly has more money than Mary?

Let the number of weeks money is saved be represented by x

We are asked how long will it be before Molly has MORE MONEY THAN Mary , the inequality sign >

Hence,

Molly > Mary

7x + 50 > 4x + 100

This option matches the sceneraio in the question. It is correct

c) Molly has $50 and Mary has $100. Molly saves $4 per week and Mary saves $7 per week. How long will it be before Molly and Mary have the same amount of money?

Let the number of weeks money is saved be represented by x

We are told the same amount of money , the inequality sign =

Hence,

Molly = Mary

4x + 50 = 7x + 100

This option does not match the sceneraio in the question. It is Incorrect

d).Molly has $50 and Mary has $100. Molly saves $7 per week and Mary saves $4 per week. How long will it be before Molly and Mary have the same amount of money?​

Let the number of weeks money is saved be represented by x

We are told the same amount of money , the inequality sign =

Hence,

Molly = Mary

7x + 50 = 4x + 100

This option does not match the sceneraio in the question. It is Incorrect

Therefore, only Option b) match the sceneraio in the above y.

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3 years ago
What is the expanded form of x(x+6)
tankabanditka [31]
X(x+6) = x*x+6*x = x^2+6x
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4 years ago
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Find the slope of the line that passes through the points (2, 4) and (6, 12)
Aleks [24]
The answer is 2.

The formula for slop is y2-y1/x2-x1
Using this formula we get 12-4/6-2 or 8/4 which simplifies to 2.

Hope this helps!
3 0
3 years ago
Read 2 more answers
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