Graph the equation y+3=2(x+3)?
1 answer:
Answer:
see attached
Step-by-step explanation:
You recognize the equation of the line as being given in point-slope form:
y -k = m(x -h) . . . . . . . line with slope m through point (h, k)
y +3 = 2(x +3) . . . . . . given equation
This tells you the point is (h, k) = (-3, -3), and the slope is m = 2.
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You can graph the equation by plotting the point (-3, -3) and drawing a line with a slope of 2. It will rise 2 units for each unit to the right.
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Answer:
8 vans
7 buses
Step-by-step explanation:
Let there be "b" buses
and "v" vans
Since 7 people is the capacity of vans, the total capacity is
7v
Also, since 25 people is the capacity of 1 bus, the total capacity is
25b
In total 231 people, so we can write our first equation as:
7v + 25b = 231
Now, we know there are 15 vehicles (bus + vans) in total, so we can write our 2nd equation as:
v + b = 15
Now, we solve for v and b. Let's solve the 2nd equation for v and substitute that into 1st and solve for b first:
v + b = 15
v = 15 - b
Now,
Hence, there are 7 buses
Since 15 vehicles in total, the number of vans is:
15 - 7 = 8 vans
So,
8 vans
7 buses