Tell you what I'll do: I'll show you the work, for two of them.
Then, knowing how to do it, you'll find the answers.
Deal ?
#1). n + (-13) = -12
Remove the parentheses
on the left side: n - 13 = -12
Add 13 to each side: n = 1
================================
#3). -15 + n = 3
Add 15 to each side: n = 18
OK. Look those over, understand how they're done, then TAKE IT !
256. Since each side is congruent, the length equals 8. 8 times 8 equals 64. Divide it by 2 to find the area of the triangle. 64 divided by 2 equals 32. Since there are 8 congruent triangles, 32 x 8 equals 256.
Solve for
x
x
by simplifying both sides of the equation, then isolating the variable.
Exact Form:
x
=
385
8
x
=
385
8
Decimal Form:
x
=
48.125
x
=
48.125
Mixed Number Form:
x
=
48
1
8
x
=
48
1
8
1. The data is not linear. There's not a constant difference between the f(x) values. (AKA there's not a fixed slope between the data points)
2. The data is exponential, because there's a consistent ratio in the f(x) values:
189/567 = 1/3
63/189 = 1/3
21/63 = 1/3
7/21 = 1/3
Each new y-value (aka f(x)-value) is 1/3 the previous value.
Also, f(0)=567.
If we put that together, we have f(x) = 567 (1/3)^x.