Answer:
y=2x+2
Step-by-step explanation:
The equation will be y=2x+b. Note the slope is 2, since this line is parallel to y=2x+14.
Substitute (2,6) in it and we get 6=2(2)+b
6=4+b
b=2
So y=2x+2
Answer: 8 hours
Step-by-step explanation:
Let x be the time taken by each person to paint the fence.
Given: Tom and Becky can paint Jim's fence together in 12 hours.
Since all people paint at the same rate, then we have the following equation ;-

Thus, the time taken by each person to paint the fence alone = 24 hours
Now, the time taken by all three paint together:-

Hence, it would take 8 hours if all three paint together.
Answer:
x + 4y ≤ 15; y ≥ 0
Step-by-step explanation:
The graph doesn't do a very good job of modeling any of the given equations. However, the equations listed above seem the best fit.
The slope of the top (left) line is negative, so the equation will be of the form ...
x + 4y = something
When y=0, x=15, so the "something" is expected to be 15.
However, the line appears to go through points (6, 2) and (-2, 4). Both of these points are on the line x + 4y = 14.
The graph is shaded <em>below the line</em> so the values of x and y that are in the shaded area will add to <em>less than</em> 15 (or 14). Hence, the inequality will be ...
x + 4y ≤ something . . . . . part of the 3rd answer choice
The fact that the shading does not go below y=0 means the other limit is ...
y ≥ 0 . . . . . part of every answer choice.
1/2 because there are only two sides heads and tails. applies to each time you toss the coin
Answer:
1/3 of the students
Step-by-step explanation:
4/12 of the students wins the small prize
so, 8/12 of the students will not get a small prize
1/2 of 8/12 = 4/12 = 1/3
1/3 of the students will get the certificate.