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stealth61 [152]
3 years ago
15

Does this graph show a function? Explain how you know.​

Mathematics
1 answer:
GREYUIT [131]3 years ago
3 0

Answer:

the answer is C. No, it fails the vertical line test.

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You saved $300 to spend over the summer. You decide to budget $50 to spend each week.
Oduvanchick [21]

Answer:

<u>Part c) </u>

The Slope of the line is: m=-50 and represents the amount of money spent per week.

<u>Part d) </u>

The y-intercept is: c=300 and represents the maximum money we have that can be spend over the weeks (i.e. our maximum budget alowed).

Step-by-step explanation:

To solve this question we shall look at linear equations of the simplest form reading:

y = mx+c    Eqn(1).

where:

y: is our dependent variable that changes as a function of x

x: is our independent variable that 'controls' our equation of y

m: is the slope of the line

c: is our y-intercept assuming an x⇔y  relationship graph.

This means that as x changes so does y as a result.

<u>Given Information: </u>

Here we know that $300 is our Total budget and thus our maximum value (of money) we can spend, so with respect to Eqn (1) here:

c=300

The budget of $50 here denotes the slope of the line, thus how much money is spend per week, so with respect to Eqn (1) here:

m=50

So finally we have the following linear equation of:

y= - 50x + 300    Eqn(2).

Notice here our negative sign on the slope of the line. This is simply because as the weeks pass by, we spend money therefore our original total of $300 will be decreasing by $50 per week.

So with respect to Eqn(2), and different weeks thus various x values we have:

Week 1: x=1 we have y= -50 *1 + 300 = -50 +300 = 250 dollars.

Week 2: x=2 we have y= -50 *2 + 300 = -100 +300 = 200 dollars.

Thus having understood the above we can comment on the questions asked as follow:

<u>Part c) </u>

The Slope of the line is: m=-50 and represents the amount of money spent per week.

<u>Part d) </u>

The y-intercept is: c=300 and represents the maximum money we have that can be spend over the weeks (i.e. our maximum budget alowed).

4 0
3 years ago
What is the value of x in the diagram?
Mamont248 [21]

Answer:

x+55=2x-15 [being corresponding angle

55-15=2x-x

40=x

4 0
3 years ago
Read 2 more answers
Find the slope of every line that is parallel to the graph of the equation. Y= 1/2x+4
Ostrovityanka [42]
For a line to be parallel it has to have the same slope as the original line. so the slope is 1/2 
5 0
3 years ago
-5 5/6 + (-8 4/5)= what show the work
djverab [1.8K]

Answer:

-13 2/3

Step-by-step explanation:

-5 5/6               5x6= 30 4x5= 20

+                                20/30= 2/3

-8 4/5

-----------      -5 + -8 = -13

-13  2/3

hope this helps

6 0
3 years ago
If you can explain your answer that’d be great!! Thank you!
Rasek [7]

Answer:

A(t)=A_{0}e^{\frac{ln(\frac{1}{2})}{22}t}

Step-by-step explanation:

This half life exponential decay equation goes by the formula:

A(t)=A_{0}e^{kt}

Where

k=\frac{ln(\frac{1}{2})}{Half-Life}

Since half life is given as 22, we plug that into "Half-Life" in the formula for k and then plug in the formula for k into the exponential decay formula:

So,

k=\frac{ln(\frac{1}{2})}{Half-Life}\\k=\frac{ln(\frac{1}{2})}{22}

Now

A(t)=A_{0}e^{\frac{ln(\frac{1}{2})}{22}t}

third choice is correct.

8 0
3 years ago
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