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:
Let x = the amount that Seini earned
Then x + 25 = the amount that Gavin
The amount Gavin earned would also = 425 - x (your directions asked you to have 2 equations.)
Together they earned 425:
x + (x + 25) = 425
2x + 25 = 425
2x = 400
Now divide both sides by 2 to find x.
Use all of this data to satisfy the directions.
We get the expression 64√2 in the form 2ⁿ as 2⁶°⁵.
An expression is a way in which numbers are written.
It can be variables, constants or a combination of both.
We are given an expression:
64 √2
We know that:
64 = 2 × 2 × 2 × 2 × 2 × 2
64 = 2⁶
Also, we can write √2 as
√2 = 2⁰°⁵
We get that:
2⁶ × 2⁰°⁵
simplifying the expression, we get that:
= 2⁶⁺⁰°⁵
= 2⁶°⁵
Therefore, we get the expression 64√2 in the form 2ⁿ as 2⁶°⁵.
Learn more about expression here:
brainly.com/question/723406
#SPJ9
Answer:
w = x = 36
Step-by-step explanation:
In the largest triangle, the longest side is x
The shortest side = 18
In the smaller triangle the longest side is 6
The shortest side is 3
You can set up a ratio
x/18 = 6/3 Divide the right side by 3
x/18 = 2 Multiply both sides by 18
18 *x / 18 = 2 * 18
x = 36
Answer:
x > 2.8
Step-by-step explanation:
x < -x + 7(x - 2)
Expand using the Distributive Property
x < -x + 7x - 14
x < 6x - 14
Subtract x from both sides
0 < 6x - 14 - x
0 < 5x - 14
Add 14 for both sides
5x > 14
x > 14/5
x > 2.8
