Answer:
Step-by-step explanation:
Use the sum-product pattern
Common factor from the two pairs
Rewrite in factored form
Answer:
2x²-2x-24
Step-by-step explanation:
Something has roots of 4 and -3 we can write
(x-4)(x+3)
We then attach a constant, a that will ensure that it passes through the correct point
a(x-4)(x+3)
now plug in the numbers and solve for a
a(3-4)(3+3)= -12
a(-1)(6)= -12
-6a= -12
a=2
So we have
2(x-4)(x+3)
and now it's just a matter of mulitplying/simplifying things
(x-4)(x+3)= x²-x-12
2(x²-x-12)= 2x²-2x-24
Answer:
- 8
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
here [ a, b ] = [ 3, 5 ]
From the table
f(b) = f(5) = - 26
f(a) = f(3) = - 10
Hence
average rate of change = 
= 
= - 8
Answer:
The sum of interior angles of a nonagon is 1260° with 140° for each angle in a regular nonagon
Answer:
480 ft^3
Step-by-step explanation:
We can calculate the volume of the sculpture with the data they give us in the statement.
The volume would be the multiplication between the length, width and height, that is:
v = l * w * h
we know that l = 12 ft; w = 5 ft; h = 8 f, replacing:
v = 12 * 5 * 8
v = 480
in other words, the volume of the sculpture is 480 cubic feet, therefore 480 color blocks are needed because its volume is 1 cubic foot.
