<h3>
Answer: y = (-1/2)x + 2</h3>
This is the same as y = -0.5x+2
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Explanation:
Refer to the diagram below.
The blue line is the graph of y = 2x+8, which is the left bank of the river.
For now, ignore the y = (-1/2)x+2 in the diagram and pretend we don't know that just yet. The red line is the bridge and it's some linear equation in the form y = mx+b. We're told the bridge is perpendicular to the river, so the bridge must also be perpendicular to the riverbank.
The blue line has slope m = 2. Apply the negative reciprocal to this to end up with -1/2. This is the perpendicular slope, and the slope of the red line. Note how the two slopes (2 and -1/2) multiply to -1. Any two perpendicular lines will have their slopes multiply to -1, as long as neither line is vertical or horizontal.
Since we want the bridge to pass through (0,2), this must mean the y intercept is b = 2.
So with m = -1/2 and b = 2, we go from y = mx+b to y = (-1/2)x + 2 which is the equation of the bridge shown in red.
This is the same as y = -0.5x + 2 since -1/2 = -0.5
Hello,
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Thanks for the incorrect formula!
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I have tested (fog)(x) ,(f*g)(x) and finally (f+g)(x)
f(x)=6x++++++++++++++++++++++++3
g(x)=x-7
(f+g)(x)=6x+3+x-7=7x-4
(f+g)(3)=7*3-4=17
Answer B
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Answer: a) 15 b)
Step-by-step explanation:
Let X be the number of days:
a)
For LESSONS:
Jordan does 10 / day ( 10*X)
Marco 5 / day ( 5*X)
Junyi 5 / day ( 5*X)
For TESTS:
Jordan does 5 / day ( 5*X)
Marco 10 / day ( 10*X)
Junyi 8 / day ( 8*X)
for each they need a total of 300
a) 
days for the lessons
b) 
days for the tests
so they need 15 days to finish both tasks
now if Junyi gets sick we just eliminate his contribution
a) 
days for the lessons
b) 
days for the tests
so in 20 days they will finish without him
If jordan works 10 hours a day, we just replace him with 10/24
a) 
days for the lessons
b) 
days for the tests
so at the end to complete both tasks they need 29.58 days
Supposing that the trail mix was 5/8 pound, and Lisa gave 1/8 pound, then to know what is left we only have to subtract those fractions:
5/8 - 1/8 = 4/8
that is because we only subtract the numerators (upper part) of the fractions due to the fact that the denominators are equal, now, 4/8 can also simplify to 1/2
therefore there are left 4/8 pound of trail mix or, what is the same, 1/2 pound of it
