Answer:
We conclude that at x = 0 and x = -1, the value of f(x) = 2ˣ - 1 and g(x) = 1/2x is the same.
Therefore, the solution to f(x) = g(x) is:
Step-by-step explanation:
Given the table
x f(x) = 2ˣ - 1 g(x) = 1/2x
-2 -3/4 -1
-1 -1/2 -1/2
0 0 0
1 1 1/2
2 3 1
If we carefully observe, we can determine that
at x = 0, the value of f(x) = 2ˣ - 1 and g(x) = 1/2x is the same.
In other words,
at x = 0
Thus,
at x = 0
f(x) = g(x)
Also at x = -1, the value of f(x) = 2ˣ - 1 and g(x) = 1/2x is the same.
In other words,
at x = -1
Thus,
at x = -1
f(x) = g(x)
Summary:
Thus, we conclude that at x = 0 and x = -1, the value of f(x) = 2ˣ - 1 and g(x) = 1/2x is the same.
Therefore, the solution to f(x) = g(x) is:
Answer:
20x - 8
Step-by-step explanation:
using the distributive property to simplify (5x-2)4, you would multiply the outside term (4) by each inside term (5x-2).
for example:
4 × 5x = 20x
4 × -2 = -8
once you distribute the 4 into 5x-2, you are left with 20x - 8 which needs no further simplifying
Answer:
-123
Step-by-step explanation:
The remainder theorem says that when a polynomial is divided by a linear factor x - c (note the minus sign), the remainder is the value of the polynomial at x = c.
When a polynomial P(x) is divided by x - c, the remainder is P(c). In other words, to find the remainder, plug in c for x.
You're dividing by x + 4 which is the same thing as x - (-4) -- the role of c is being played by -4.
3(–4)^3 – (–4)^2 – 20(–4) + 5 = –123
The formula for the volume of a cube is V = a^3.
We know the volume is 125 cubic inches.
125 = a^3
Take the third square root
5 = a
The length of each edge is 5 inches
