1st one is the y Intercept is 5. get y by itself 12y=-6x+60 divide by 12.
2nd slope is -3
The way I figured this one out was saying that if it takes 2lbs to stretch it to 12 inches and 5lbs to stretch to 18 inches that means that 3 additional pounds = 6 inches. Therefore, each additional pound is 2 inches. We know already that with 2 lbs it was 12 inches in length and we can also say that 2 lbs = 4 inches. So subtract 4 from 12 and you end up with the answer of 8 inches.
Each football is sold for $9.95. To make one of these football costs $7.10.
There is a profit of $2.85. Divide 11,400 by 2.85 to see how many footballs would have to sell to break even.
11,400 / 2.85 = 4000.
4000 footballs would have to be sold to break even.
In this item, we equate the functions as stated.
f(x) = g(x)
3x - 23 = -4.5x + 7
Transpose all the terms with variables to one side of the equation and all the constants to the other side. This is shown below.
3x + 4.5x = 7 + 23
Combine like terms,
7.5x = 30
Divide both sides of the equation by 7.5.
(7.5x)/7.5 = 30/(7.5)
<em> x = 4</em>
Therefore, the solution to this item is that x = 4.
