Answer:
52/3
Pretty simple just multiply 26 to the 2 and put the 3 to the bottom.
The solution is that x = 26 and y = 9.
In order to find these, we need to note that since the two angles involving x's make a straight line, then they must equal 180 degrees. So we can add them together and set them equal to solve for x.
5x - 17 + 3x - 11 = 180 ----> combine like terms
8x - 28 = 180 ----> add 28 to both sides
8x = 208 -----> divide by 8
x = 26
Now that we have the value of x, we can find the value of the 3x - 11 term. That along with the right angle and the 2y + 5 angle combine to make another straight line. So we can solve by setting that equal to 180 as well.
3x - 11 + 90 + 2y + 5 = 180 ------> Combine like terms
3x + 2y + 84 = 180 -----> Put 26 in for x.
3(26) + 2y + 84 = 180 -----> Multiply
78 + 2y + 84 = 180 ------> Combine like terms again
2y + 162 = 180 ------> Subtract 162 from both sides
2y = 18 -----> Divide by 2
y = 9
You would have $115 for those 23 weeks you’ve saved!
The two points we are given will tell us the slope of the line, and the first point even tells us the y intercept.
slope = (y2 - y1) / (x2 - x1) = (1 - 4) / (1 - 0) = -3/1 = -3
Since the function goes through (0,4), our y intercept is 4.
Now we can fill in our function:
<span>y = _ x + _
</span><span>y = -3x + 4</span>
