For this case we have that by definition, a function is of the form:
So, we have the following system of equations:
Equating the equations we have:
Adding 2x to both sides of the equation:
Subtracting 2 from both sides of the equation:
Dividing between -4 on both sides of the equation:
Thus, the value of the variable "x" is -0.5.
Answer:
-0.5
Answer:
) Compute the sample mean x and the sample standard deviation s.
Do NOT use a computer. You may only use +, –, ×, ÷, and on a calculator.
Show ALL work.
9
143.1
9
15.5 16.2 16.1 15.8 15.6 16.0 15.8 15.9 16.2 = = = ∑ + + + + + + + +
n
x
x
i
= 15.9.
x x 2 x x − x ( ) 2
x − x
15.5
16.2
16.1
15.8
15.6
16.0
15.8
15.9
16.2
240.25
262.44
259.21
249.64
243.36
256.00
249.64
252.81
262.44
OR
15.5
16.2
Step-by-step explanation:
Formula for the area of a face of a cube: A = length x width
Let's find the area of one face.
A = 5 x 5
A = 25
Now, let's multiply the area of one face by 6 because a cube has 6 faces.
25 x 6 = 150
A = 150 square centimeters
Hope this helps! :)
Answer:
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17 one point shots and 39 two point shots were made
Solution:
Given that,
At a basketball game, a team made 56 successful shots
They were a combination of 1- and 2-point shots
Let "x" be the number of 1 point shots
Then, 56 - x is the number of two point shots
The team scored 95 points in all
Therefore,
1(number of 1 point shots) + 2(number of two point shots) = 95
x + 2(56 - x) = 95
x + 112 - 2x = 95
x = 112 - 95
x = 17
Then, number of two point shots = 56 - x = 56 - 17 = 39
Thus 17 one point shots and 39 two point shots were made
