Write a linear equation that has a slope of 1/2 and a y-intercept at the origin.
1 answer:
Answer:
y=1/2x
Step-by-step explanation:
Slope intercept form is the most commonly used linear equation:
It goes like this:
In this equation, m is the slope and b is the y-intercept.
Your line has a slope of 1/2. So, your m-value is 1/2.
y=1/2x+b
B, your y-intercept, is at the origin.
The origin is the point (0,0).
So b, is 0 (y-intercept is the y-value when x is 0)
y=1/2x+0
=
y=1/2x
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Answer:
Time required by Machine B to create a widget = 4 hours
Step-by-step explanation:
Time taken by Machine A ( ) = 3 hours
Time taken by Machine B ( )= x hours
Time taken by both machines by working together = 12 hours
The time required to both machines by working together to finish a task is given by the formula =
Put the values in above formula we get
⇒ T =
⇒ 12 =
⇒ 36 + 12 x = 3 x
⇒ x = - 4 hours
This is the time required by Machine B to create a widget.
Answer:
On a coordinate plane, a line goes through (0, 3) and (2, 4) and another line goes through (0, 3) and (0.75, 0).
This answer almost coincide with option C. I suppose there was a mistype.
Step-by-step explanation:
The system of equations is formed by:
–x + 2y = 6
4x + y = 3
In the picture attached, the solution set is shown.
The first equation goes through (0, 3) and (2, 4), as can be checked by:
–(0) + 2(3) = 6
–(2) + 2(4) = 6
The second goes through (0, 3) and (0.75, 0), as can be checked by:
4(0) + (3) = 3
4(0.75) + (0) = 3
