The two values are positive 9 and negative 9
Answer:
x = 3
Step-by-step explanation:
6x + 7 = 9x - 2
-3x = -9
x = 3
Answer:
- 10.5cm,20.8cm,23.3cm — yes
- 6cm, 22.9cm,20.1cm — no
Step-by-step explanation:
If the sides form a right triangle, the sum of the squares of the shorter two sides will equal the square of the longest side.
1. 10.5^2 + 20.8^2 = 23.3^2 . . . . . true algebraic statement; right triangle
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2. 6^2 +20.1^2 = 440.01 ≠ 22.9^2 = 524.41 . . . . . this is an obtuse triangle
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:
The population in the above situation is the total number of students under Mr. Wilson.
A sample is a part of the population that may best represent the population. There is no sample in the above situation because Mr. Wilson made all students pick 5 note cards. He will be able to determine the performance of each student based on their performance in picking 5 note cards and defining the terms in each card.
