Part 1: should be C. Because the question said 1.2 added to a number.
Part 2:16.8
Answer: 118750000
Step-by-step explanation:
Population Then: 9.7 × 10^7 = 97000000
Each Year: 8.7 × 10^5 = 870000
After 25 Years People Added: 8.7 × 10^5 × 25 = 21750000
Population Now: 97000000 + 21750000 = 118750000
The standard eqn of a parabola in vertex form is y-k = a(x-h)^2, where (h,k) is the vertex. There are a good number of steps involved. I don't think it wise not to "show work." I cannot answer this question without going through all those steps.
However, there's an easier way to find the vertex. Identify the coefficients a, b and c:
a= -4, b= -3 and c = 1
Then the x-coord. of the vertex is x = -b / (2a). Subst. -3 for b and -4 for a and simplify. x = ??
Then find the y-coord. of the vertex by subbing your result, above, into the original equation.
Write the vertex as (h,k).
Once you have this vertex, you can find the equation in vertex form as follows:
Start with the general form y-k = a(x-h)^2, where (h,k) is the vertex.
You've already found the vertex (h,k). Subst. h and k into the general form, above. Then only the coefficient "a" remains undefined.
Answer:
Option A is the answer
Step-by-step explanation:
Toski is building a room having length = 18 feet
Width of the room = 14 feet
Scale has been given as 1 inch = 2 feet
∵ 2 feet = 1 inch
∴ 1 feet =
feet
∴ 18 feet length of the room =
inches
Similarly 14 feet width of the room =
inch
Now we count the small blocks in the given options.
Option A has 9 blocks or 9 inches as the length of the room and 7 blocks or 7 inches as the width of the room.
Option A is the answer.