Answer:
y = -1/4x - 2
Step-by-step explanation:
Step 1: The y-intercept is on the y-axis line. The y-intercept in this graph is -2.
Step 2: To find the slope. The line is going downwards so that helps us know that the slope is going to be negative. You want to get the bottom point to the top. So move upwards 1 time and move 4 times to the left.
Step 3: Now just put everything together.
Answer:
4 Hours
Step-by-step explanation:
Let's say that the rate of the machines 1/x, because every time they complete an order, it takes them x hours. To find x, we have to add the the rates of the individual machines, which would equal the rate of the machines working together. We know that there are four machines working together at the same rate, and it took them 32 hours.
So:
1/x + 1/x + 1/x + 1/x = 1/32
1/4x = 1/32
4x = 32
x = 8
Thus, the rate of the machines is 1/8.
Now we have to find the time of the order with only half of the machines working together. This time, we don't know the combined rate, so I'll substitute it for y.
1/8 + 1/8 = 1/y
1/4 = 1/y
y = 4
The time taken to complete it is 4 hours.
Some things to know
point slope form: for a line passing through (x1,y1) and the slope is m
y-y1=m(x-x1)
horizontal lines are y=constant
y=mx+b, m is slope and b is y intercept
the slope of the line that passes through the points (x1,y1) and (x2,y2) is
(y2-y1)/(x2-x1)
1.
y-2=2/3(x-(-3))
y-2=2/3(x+3)
2.
find slope
(-2-3)/(6-(-4))=(-5)/(6+4)=-5/10=-1/2
a point isi (-4,3) and slope is -1/2
y-3=-1/2(x-(-4))
y-3=-1/2(x+4)
3.
yintercept of 2 means (0,2) is a point
find slope between (0,2) and (12,4)
(4-2)/(12-0)=2/12=1/6
a point is (12,4)
y-4=1/6(x-12)
4.
horizontal is y=something
(x,y)
(-2,-9)
we have y=-9
y=-9 is the equaiton
5.
y=-2x+3
y=mx+b
-2 is slope
a point is (-6,2)
y-2=-2(x-(-6))
y-2=-2(x+6)
Answer:
1.3333 Repeated
Step-by-step explanation:
To find area you just do A= L*W so you just do the revirse W= 