Answer:
(-1373)
Step-by-step explanation:
a = 1st term = -13
Common difference = d = 2nd term - 1st term
d = -33 - (-13) = -33 + 13
d = -20
n = 69
nth term = a + (n-1)d
69th term = (-13) + 68 * (-20)
= -13 - 1360
= - 1373
Answer:
159 bagels left
Step-by-step explanation:
add the 32 and 37 then subtract the answer from 32 and 37 from 228 and your answer is 159
That funky circle in the middle is the composition of the function. It asks you to take a function as an input and to yield an output that's another function. It's one of the five function operations, along with adding, subtracting, multiplying, and dividing.
When you compose, you might find the notation w(u(x)) easier to understand. It's saying evaluate u then evaluate w.
For our functions, the compositions are:
u(w(x)) = u(2x²) = -(2x²) - 2 = -2x² - 2
w(u(x)) = w(-x - 2) = 2(-x - 2)² = 2(x² + 4x + 4) = =2x²+ 8x +8
Now we evaluate each composition at 4.
u(w(4)) = -2(4²) - 2 = -2(16) - 2 = -32 -2 = -34
w(u(4)) = -2(2²) +8(2) + 8 = -2(4) + 16 + 8 = -8 + 16 + 8 = 16.
Thus, u(w(4)) = -34 and w(u(4)) = 16.
Answer:
Your work is correct as far as it goes. Now eliminate the terms that are zero.
Step-by-step explanation:
Multiplying anything by zero gives zero. Adding zero is like adding nothing. Zero is called the "additive identity element" because ...
a + 0 = a
Adding zero doesn't change anything. You can (and should) drop the zero if your goal is to simplify the expression.
Answer:
3
Step-by-step explanation:
area = l^2 = 9
so,l = 
= 3
