To find all the different possible combinations, you multiply all the possibilities for each position.
1st - she as 20 different possible buttons
2nd - she would have 19 possible buttons
3rd-she would have 18 possible buttons
20 x 19 x 18=6840 possible ways to choose these buttons.
By the Pythagorean Theorem, the longest side of a right triangle squared is equal to the sum of the squared sides...
h^2=x^2+y^2, where h=hypontenuse, and x and y are the side lengths...
87^2=w^2+63^2
w^2=87^2-63^2
w^2=3600
w=√3600
w=60 in
So the base of the frame is 60 inches wide.
Y^2 + 4y - 32 = 0
y^2 - 4y + 8y - 32 = 0
y(y - 4) + 8(y - 4) = 0
(y + 8)(y - 4) = 0
y + 8 = 0 or y - 4 = 0
y = -8 or y = 4.
Answer:
The value of g[f(2)] = 13
Step-by-step explanation:
Given functions:
f(x) = x²
g(x) = 3x + 1
Find:
The value of g[f(2)]
Computation:
f(x) = x²
By putting x = 2 in f(x)
f(x) = x²
f(2) = 2²
f(2) = 2 × 2
f(2) = 4
So the value of f(2) = 4
Value of f(2) putting in g(x)
g(x) = 3x + 1
g(x) = 3x + 1
g[f(2)] = 3[f(2)] + 1
We know that f(2) = 4
So,
g[f(2)] = 3[f(2)] + 1
g[f(2)] = 3[4] + 1
g[f(2)] = 12 + 1
g[f(2)] = 13
The value of g[f(2)] = 13
