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DedPeter [7]
3 years ago
5

The graph of a linear function intersects with the x axis at a point with an abscissa of 4 and with the y axis at a point with a

n ordinate of 11. Write the formula of the function.

Mathematics
1 answer:
goldenfox [79]3 years ago
7 0
We know that

points are
x intercept
A (4,0)

y intercept
B (0,11)

step 1
find the equation of a line
m=(y2-y1)/(x2-x1)--------> m=(11-0)/(0-4)------> m=-11/4

with m and the point B (0,11)
y-y1=m*(x-x1)y-11=(-11/4)*(x-0)---------> y=-(11/4)x+11

the answer is 
the formula of the function is y=-(11/4)x+11

see the attached figure

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In one semester, doug and Laura spent a combined 250 hours in the tutoring lab. If doug spent 40 more hours in the lab then Laur
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Answer:

Step-by-step explanation:

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Since we don't know either person's number of hours, AND since we can only have 1 unknown in a single equation, we need to write Laura's hours in terms of Doug's, or Doug's hours in terms of Laura's.  We are told that Doug spent Laura's hours plus another 40 in the lab, so let's call Laura's hours "x".  That makes Doug's hours "x + 40".  Now we can write our general equation in terms of x:

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2x = 210 so

x = 105

Since Laura is x, she worked 105 hours in the lab and Doug worked 40 hours beyond what Laura worked.  Doug worked 145.  As long as those 2 numbers add up to 250, we did the job correctly.  105 + 145 = 250? I believe it does!!

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3 years ago
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The solution to the inequality 5x - 4 > 21 is represented by which number line?
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