The base area of a square-based prism is 25 ft squared. One of the lateral faces of the prism is 30 ft squared. What is the surf
1 answer:
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Answer:
a) 41
b) -31
c) 25/3
Step-by-step explanation:
The instructions explain what a function is pretty clearly.
Basically, whatever is in the parentheses next to the , you plug in to the expression that is the function.
ex:
Okay, onto the problems:
a)
First, plug in 14, since that is given:
and solve.
So, 41 is the answer to a.
b) Do the same thing you did in problem a. Plug in the number inside the parentheses and solve.
-31 is the answer to b.
c) For this problem, you have to do a bit of algebra.
First, take the base function f(x):
Then, set f(x) = 24:
and solve by isolating x.
25/3 is the answer to c.
Let A be a 3×2 matrix, L its left inverse, and R its right inverse. L and R are then matrices such that LA = I₂ (the 2×2 identity matrix) and AR = I₃ (the 3×3 identity matrix). Clearly L must be 2×3 and R must be 3×2 in order for the matrix products to be defined.
To find L and R, we start by introducing a square matrix on the the left sides of either equation above. In particular, we uniformly multiply both sides by the transpose of A, then solve for the inverse.
For the left inverse, we have
We do the same thing for the right inverse, but take care with how we multiply both sides of AR = I₃.