Formula f(x)=a(x-h)^2+k (h,k) is vertex
Y=a (x-3)^2+1
Plug in y intercept
10=a (0-3)2+1
10=-3^2a+1
10=9a+1
9=9a
A=1
Y=(x-3)2 +1
Y=x2-6x+9+1
Y=x2-6x+10
Hope this is one of your answers
Rounded to the nearest tenth is 4
Answer:
Option D (r(t) = 3.50t +25
; r(8) = 53)
Step-by-step explanation:
The fixed cost to rent the kayak $25. This is the cost which remains fixed irrespective of the usage of the kayak. The variable cost of using the kayak is the cost which depends on the usage of the kayak. It is mentioned that the kayak is used for 4 hours and the company charges $3.5 for every half hour. The cost function is given by:
r(t) = 25 + 3.5t ; there r is the total cost of using the kayak and t is the number of half-hours the kayak is used.
4 hours means that there are 8 half-hours. Therefore, t=8. Put t=8 in r(t).
r(8) = 25 + 3.5*(8) = 25 + 28 = 53.
Therefore, Option D is the correct answer!!!
We can find out how much larger something in scientific notation is compared to something else in scientific notation is by dividing the 10 to the power of x of the respective quantities and then dividing the numbers in front of that value (in this case 7 and 13). After we have both of those quotients, we can multiply them to find the answer. 7/13 is approximately 1/2, and 10^10 / 10^8 is 100. 0.5 * 100 is 50, meaning that the answer is approximately 50.