That expression can be written as this:
7x - 6 2/3+ 3x - 4 3/4. When you add like terms:
10x - 11 5/12.
So the answer is:
10x-11 5/12
For part a: you just need to find how far the vertex has been moved from the origin, or the point (0,0). As the vertex is at the point (2,-3), it has been translated right 2 horizontally and down 3 vertically.
For part b: you use the info found in part a to create the equation in the form of y=A(x-h)^2+k. In this case, A =1, so you can ignore it. The h value is the horizontal distance the vertex has been moved. Since it has been moved right 2, this part of the equation would be (x-2). I know it seems like it should be plus 2, but values in parentheses come out opposite. For the k value, find the vertical shift, which is down3, or -3.
Now that you have h and k, substitute them back into the equation.
Your final answer for part b is: y=(x-2)^2 -3.
56 feet.....................
Answer:
slope = 1.5 earnings/hour
y-intercept = 9 earnings
Step-by-step explanation:
slope = (27 - 18) / (12 - 6) = 9/6 = 1.5 earnings/hour
y-intercept = 9 earnings
If something is reduced by 12%, it must only be worth 88% of what it once was.
88% of P = 132.88
.88 * P = 132.88
P = £ 151