30 POINTS!!!!!!!!!!!!!!! PLEASE HELP!!!!!!!

Mathematics

2 answers:

VashaNatasha [74]3 years ago

8 0

I believe the answers are Armand should choose Bump it Up if more than 500 bumper stickers are ordered, and The initial fee charged by You Name It is greater than the initial fee charged by Bump It Up.

r-ruslan [8.4K]3 years ago

7 0

Answer:

<h3>Bump It Up charges more per bumper sticker than You Name It charges.</h3><h3>The initial fee charged by You Name It is greater than the initial fee charged by Bump It Up.</h3>

Step-by-step explanation:

The second and last statements are true about the function shown in the image.

The money charged per sticker refers to the ratio between both variables. So, the ratio for You Name It is:

$m_{you} =\frac{500-200}{5-0}=60$

The ratio for Bump It Up is:

$m_{bump} =\frac{500-100}{5-0}=80$

As you can see Bump It Up has a higher ratio, that is, it charges 20 bucks more per sticker than You Name It.

The benefit of picking Bump It Up is actually if Armand needs less than 500 stickers, because after 500 it's better to use You Name It.

On the other hand, the graph shows that the initial point of You Name It is 200, and the initial point of Bump It Up is 100. So, the initial fee charges by You Name It is higher than the initial fee charges by Bump It Up.

Therefore, the right answers are the second and the last statements.

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The coordinates of AB are A(-5, -1) and B(-2, -6). If AC : CB = 3 : 7, what are the coordinates of point C?

bixtya [17]

$\text{Let the coordinates of AB are }A(-5,-1), \text{ and }B(-2, -6)\\
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\text{let the coordinate of th point C be (x, y), such that}\\
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AC:CB=3:7\\
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\text{By the section formula, we know that if P(x,y) lies on a line segment AB}\\
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$P=\left ( \frac{mx_2+nx_1}{m+n}, \ \frac{my_2+ny_1}{m+n} \right ).\\
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\text{So using this formula, we get for the given problem}\\
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C=\left ( \frac{3(-2)+7(-5)}{3+7}, \ \frac{3(-6)+7(-1)}{3+7} \right )\\
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