Answer:
The equation that models the situation is 
Step-by-step explanation:
Exponential equation:
An exponential equation has the following format:
In which A(0) is the starting value and r is the growth rate, as a decimal.
Starting value of 13 and a growth rate of 0.78%.
This means that 
Write an equation to model the situation.
The equation that models the situation is
Answer:
Yes
The common difference is .6
Step-by-step explanation:
Take the second term and subtract the first term
-2.2 - (-2.8)
-2.2+ 2.8 = .6
Take the third term and subtract the second
-1.6 - (-2.2)
1.6 +2.2
The common difference is .6
Answer:
Triangular Prism Volume : 560 ft³, Rectangular Prism Volume: 1,400 ft³, and Total Volume of the Composite Figure: 1,960 ft³
Step-by-step explanation:
Triangular Prism Volume Formula: 1/2(L)(W)(H)
1/2(10)(14)(8)
= 560 ft³
Rectangular Prism Volume: L x W x H
10 x 14 x 10
= 1,400 ft³
1,400 ft³ + 560 ft³
= Total Volume of the Composite Figure: 1,960 ft³
18/2 = 9 Miles per hour for running
60/3 = 20 Miles per hour for biking
You have 3 unknowns: a, b, and c. That means you have to have 3 equations to solve for the values of them. 3 unknowns needs 3 different equations. We will use the first 3 points in the table and thank God that one of them has an x value of 0. We will replace the x and y in the general form of the quadratic with the x and y from the table, 3 times, to find each variable. Watch how it works. We will start with (0, 15).
. That gives us right away that c = 15. We will do the same thing again with the second value in the table along with the fact that c = 15 to get an equation in a and b.
which simplifies to
4a+2b=.5. Now do the same for the third set of coordinates from the table.
which simplifies down to
16a+4b=2. Solve those simultaneously. Multiply the first bolded equation by -4 and then add that one to the second bolded one.
gives us
-16a-8b=-2. Add that to the second bolded equation and the a terms cancel out giving us -4b=0 so b = 0. Subbing that back in we solve for a: 16a+4(0)=2 and 16a = 2. Therefore, a = 1/8. The quadratic then is
