Answer:
Step-by-step explanation:
4/30 ÷ 7/48
=4/30 * 48/7
=4/15*24/7
=96/105
Answer:
Step-by-step explanation:
refer to solution in the picture
So we'll do FOIL (first, outer, inner, last)
The equation is (4x+5)(2x+7)
First, 4x·2x=8x²
Outer, 4x·7=28x
Inner, 5·2x=10x
Last, 5·7=35
Add like terms and you get:
8x²+38x+35
Iiiiiiu ddddddoooooo nooooooittytt. Nooooooi
Answer:
Two lines only can intersect if the lines are not parallel.
And given a linear equation:
y = a*x + b
Where a is the slope and b is the y-intercept, the general equation for a parallel line to this one is:
y = a*x + c
with the condition:
b ≠ c
So we need to have the same slope and a different y-intercept.
Then when we compare the linear function that represents the number of animals adopted with the linear function that represents the hours volunteers work at the shelter, you need to look if both equations have a different slope or not.
Let's describe the two cases:
If the lines have the same slope, then you need to see the y-intercept.
If the y-intercept is different, then the lines never do intersect.
If the y-intercept is equal, then both equations describe the same line (as both have the same slope and the same y-intercept).
If the lines have different slope, then we can conclude that the lines are not parallel, and the lines will intersect at some point.
