Answer:
Region B
Step-by-step explanation:
The solution to the system is the point at which the two lines intersect, which would be in Region B.
Answer:
Solution given:
slope(m)=½
passing through point (x',y')=(0,3)
now
equation of a line is:
y-y'=m(x-x')
y-3=½(x-0)
y=½x+3
<u>D</u><u>.</u><u>y</u><u>=</u><u>½</u><u>x</u><u>+</u><u>3</u><u> </u><u>is</u><u> </u><u>a</u><u> </u><u>required</u><u> </u><u>equation</u><u> </u><u>of</u><u> </u><u>a</u><u> </u><u>line</u><u>.</u>
Answer:
c. 10/3 hours
Step-by-step explanation:
Let's make a table.
Names:| Times completed in:| Field Space Covered:| Rate the field was . covered:
Aaron | 5 hours | 1 field | 1/5 field space/hour
Rachel | x hours | 1 field | 1/x field space/hour
Together| 2 hours | 1 field | 1/2 field space/hour
The 1 field represents that they covered the whole field.
The rate is found by dividing field space covered by amount of hours it took for them to cover it.
There rates individually should add up to the "together" rate.

Clear fractions by multiplying both sides by
on both sides:


Subtract 2x on both sides:

Divide both sides by 3:

x represented the amount of time it took Rachel alone to cover 1 field.
10/3 hours is the answer.
Find the perimeter of the painting because that's what the frame will be:
2(5)+2(6)=P
10+12=P
22=P
Multiply 22 by 5 because the painting has a perimeter of 22 feet and each one foot will cost 5 dollars
22*5=110
The frame would cost $110
Answer: Choice A) $0.45
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Explanation:
Plug in d = 0 and you'll have A(d) = 0.45d+180 turn into A(0) = 180. This says that Terry is paid $180 even if he doesnt travel a single mile.
Now plug in d = 1. You should get A(1) = 180.45 as the result.
Subtract the results: 180.45 - 180 = 0.45
He has earned 45 cents or 0.45 dollars for traveling one mile
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A shortcut is to notice that the slope of the line is 0.45
It might help to view A(d) = 0.45d+180 as y = 0.45x+180. We see that the equation is in slope intercept form y = mx+b
m = slope = 0.45 tells us how much additional dollars Terry earns for each additional mile traveled
b = 180 = y intercept = starting amount of money Terry is paid, this amount does not change based on how many miles he travels.