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Mars2501 [29]
3 years ago
9

A line passes through the point (2,8) and has a slope of -5/2

Mathematics
2 answers:
Naya [18.7K]3 years ago
7 0
Y=-5/2+13

Graphing it out is probably the easiest way to learn
Lana71 [14]3 years ago
4 0
Here’s the explanation:

y=Mx +b

They gave us the slope (m) and a point.

Once you plug the point and solve you will find b.

8=-5/2(2)+b
b=8+5
b=13.

y= -5/2x+13

Graphing it will kill your time...
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How do the graphs of the functions f(x)=<img src="https://tex.z-dn.net/?f=%28%5Cfrac%7B3%7D%7B2%7D%29%5Ex" id="TexFormula1" titl
grin007 [14]

Step-by-step explanation:

f(x) = (3/2)ˣ

g(x) = (2/3)ˣ

These are examples of exponential equations:

y = a bˣ

If b > 1, the equation is exponential growth.

If 0 < b < 1, the equation is exponential decay.

So f(x) is an example of exponential growth, and g(x) is an example of exponential decay.

Also, 2/3 is the inverse of 3/2, so:

g(x) = (3/2)^(-x)

So more specifically, f(x) and g(x) are reflections of each other across the y-axis.

5 0
3 years ago
Tim Hortons is hiring and offers $200 every week plus $5 per hour. McDonalds offers $300 every week plus $2 per hour. State the
Ray Of Light [21]

Answer:

Assuming you want better payment each week, any number of hours above 33.333 or 33 hours and 20 minutes per week

Step-by-step explanation:

There are several ways we could do this.  We could say we want to have Tim Hortons be the better employer on the first week, or after so many weeks by adjusting the hours.  I am going to assume we are saying we want it to be a better employer on the first week, so the profit will be the amount made every week plus the money made per hour times the number of hours.

Let's say number of hours is H

So Tim Hortons winds up as 200 + 5H for one week and  Mcdonalds will be 300 + 2H.

If you set the two expressions equal to each other you will find where they intersect, which means at that number of hours they will give the same amount of money while any amount before one of the companies will give more and after that many hours the other will.  Let's go ahead and solve.

200 + 5H = 300 + 2H

3H = 100

H = 100/3

So H is about 33.333.  let's check.

200 + 5(33.333) = 366.665 which rounds to 366.67 dollars

300 + 2(33.333) = 366.666 which also rounds to 366.67 dollars

So at 33.333 hours both give 366.67 dollars.  Let's look at a value below it, say 32.

200 + 5(32) = 360

300 + 2(32) = 364

So you can see here Tim Hortons  pays less.  Now we will try 34 as a value above 33.333

200 + 5(32) = 370

300 + 2(32) = 368

Here Mcdonalds pays less.  This was to show that values below 33.333 make Tim Hortonspay less and values above 33.333 make Mcdonalds pay less.  In other words any value above 33.333 hours will have Tim Hortons be the better employer.  And this is per week

I want to repeat, you can expand this to be multiple weeks and see which of the two becomes better in that epriod of time.  This was, I think, the simplest way to answer though.  

So the conditions where Tim Horton pays more isif you work more than 33.333 hours per week.  This will make them pay more every single week.  

7 0
2 years ago
A rectangle has a perimeter of 30 and a length of 10. Find the width.
bonufazy [111]

Answer:

5

Step-by-step explanation:

8 0
2 years ago
A soccer team lost 30% of their games. If they played 20 games, how many did they win
lilavasa [31]

Answer:

14

Step-by-step explanation:

100% - 30%= 70% (the times they've won)

0.7x20=14

8 0
3 years ago
What is the solution set for the inequality -3x + 10 &gt; -5
bagirrra123 [75]
The answer to your question is A
6 0
2 years ago
Read 2 more answers
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