Part A: As we have learned when given a pair of equations, we must always find a Point of Intersection....or, in other words...the solution of the lines given to us. As we know there can be one solution, in this case we view the graph; see where they intersect, and realize that the solution to these lines (Point of Intersection) is at (4,4).
Thus, your answer.
So their age can be no more than 22. And Martin is 6 years younger, which means you subtract.
22 ≥ x + x - 6
Not sure why such an old question is showing up on my feed...
Anyway, let
and
. Then we want to find the exact value of
.
Use the angle difference identity:
and right away we find
. By the Pythagorean theorem, we also find
. (Actually, this could potentially be negative, but let's assume all angles are in the first quadrant for convenience.)
Meanwhile, if
, then (by Pythagorean theorem)
, so
. And from this,
.
So,
If he ate 6/8 of the pizza, that means 2/8 is left.
2/8 simplify it, by dividing it by 2 and your answer is...
IT'S 1/4
Answer: The two equations are:
y = 5x + 40
y = 3x + 60
In each problem, you are given the cost per ride. That is the slope, it goes in front of the x.
Then, you are also given the entry fee. That is the y-intercept, it goes at the end of the equation.
Now, the equations are in slope intercept form. Y = MX + B
Graphing the equations will give an answer of (10, 90)
This means for both plans 10 rides will cost $90.