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tatiyna
3 years ago
6

Select the equation in which the graph of the line has a negative slope, and the y-intercept equals 50.

Mathematics
2 answers:
Aleks04 [339]3 years ago
8 0
Convert each one to the  form y = mx + b   where m=slope and b = y-intercept.

(a) 5y = 10x - 40

y = 2x -  8         m= 2 (positive slope) and  y-intercept = -8 so its not (a)
zepelin [54]3 years ago
8 0

Answer:

The answer that represent a negative slope and a y-intercept 50 is letter C.

Step-by-step explanation:

The answers are represented like a general equation Ax + By + C = 0, so you need to clear "y" to find slope-intercept form of a line y=mx+b, where m is the slope and b is the intercept, so if you clear:

a) y = (10x - 40)/5 .... in this ecuation the slope is positive and the ininterception 40 negative.

b) y = (5x +12)/10 .... in this ecuation the slope is positive and the interception 12 positive.

d) y= (x-10)/2 .... in this ecuation the slope is positive and the interception 10 negative.

c) y = 50 - 5x, in this ecuation the slope is negative, and the interception 50 positive, so this is the correct answer.

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Answer:

The rug should be 15 ft wide and 28 ft long.

Step-by-step explanation:

I have attached a figure that represents the situation.

The the rug is l by h, the width of the strip of floor is w.

We are told that Cynthia can only afford 420 square feet of carpeting; therefore, it must be that

l*h=420 <em>(this says the area of the rug must be 420 square feet)</em>

From the figure we see that

l= 32-2w

h=19-2w

Therefore,

l*h=420\\\\(32-2w)(19-2w)=420

We expand this equation and get:

4w^2-102w+608=420\\\\4w^2-102w+188=0

using the quadratic equation we get two solutions:

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since the second solution, namely w=23.5, is larger than one of the dimensions of the room (is greater than 19 ft) it cannot be the width of the strip; therefore, we take w=2 to be our solution.

Now we find the dimensions of the rug:

l=32-2(2)=28\\\\h=19-2(2)=15

The rug is 15 ft wide and 28 ft long.

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consider the function represented by the equation 16b = 4r - 12. write the equation in function notation, where b is the indepen
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