it's C because the floor area is 120 square feet and the walls are 8 feet so if you multiply 120 × 8 you get 960.
Answer:
D
Step-by-step explanation:
Use the distributive property to multiply both x and 5 by -2:
-2(x + 5) = -2x - 10
Part A:
The plot for the function f(x) and g(x) is attached. The purple curve represents f(x) and the black line represents g(x).
Part B:
The graph of f(x) shows that f(x) is an exponential function.
The graph of g(x) shows that g(x) is a linear function.
Part C:
As x increases from left to right, the function f(x) increases very rapidly.
As x increases from left to right, the function f(x) increases at a constant rate.
Part D:
From the graph it can be seen than the valus of x for which the values of the function are equal are: x = -4 and x = 1.19.
Answer:
She can create a function for the total savings in terms of the time x by adding the two functions together. The new function should look like this:
T(x)=S(x)+a(x)
So now we can substitute the given functions:
T(x)=450+6(x-2)
But this function can be simplified for it to be easier for her to calculate her total amount of savings. We can do that by distributing the 6 into the parenthesis. This is, multiply the 6 by both the x and the -2, so we get:
T(x)=450+6x-12
and now we can combine like terms. We can subtract 12 from 450 so we get:
T(x)=6x+438
And that will be our final function.
Answer:
15
Step-by-step explanation:
Pat, Jo, Al, Dan
Pat, Al, Dan, Jo
Pat, Dan, Jo, Al
Pat, Jo, Dan, Al
Pat, Al, Jo, Dan
Pat, Dan, Al, Jo List all permutations beginning with Pat.
Jo, Al, Dan, Pat
Jo, Dan, Pat, Al
Jo, Pat, Al, Dan
Jo, Al, Pat, Dan
Jo, Dan, Al, Pat
Jo, Pat, Dan, Al List all permutations beginning with Jo.
Al, Dan, Pat, Jo
Al, Pat, Jo, Dan
Al, Jo, Dan, Pat
Al, Pat, Dan, Jo
Al, Dan Jo, Pat
Al, Jo, Pat, Dan List all permutations beginning with Al.
Dan, Pat, Jo, Al
Dan, Jo, Al, Pat
Dan, Al, Pat, Jo
Dan, Jo, Pat, Al
Dan, Pat, Al, Jo
Dan, Al, Jo, Pat List all permutation beginning with Dan.
There are 24 ways for Pat, Jo, Al, and Dan to finish in first, second, third, and fourth place in the contest.