2n+1=21
The value of n obtained from equation 2n+1=21 is 10.
Value of n to be determined in equation 2n+1=21.
Statements execute as mathematical expressions. In arithmetic mathematics deals with various statements, progressions, sequences etc.
Here,
⇒2n+1=21
2n=21-1
2n=20
n=20/2
n=10
Thus, the value of n in equation 2n+1=21 is 10.
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(x) 1 1 3 3
Output
(y) 4 2 12 6
Part A: Does the table represent y as a function of x? Justify your answer. (5 points)
Part B: The total cost f(x), in dollars, for renting a paddleboat for x hours is shown below:
f(x) = 20 + 10x
What is the value of f(120), and what does f(120) represent? (5 points
Part A:
We usually take the input variable as 'x' and the output variable as 'y'.
In the given table, we can see that 1 is the input value corresponding to 4 and 2 both.
i.e. one input value corresponds to two different output values that contradicts the definition of the function.
Thus the given table doesn't represent any function.
Part B: Given : The total cost f(x), in dollars, for renting a paddle-boat for x hours is shown below:
At x= 120 ,
It represents that the total cost for renting a paddle-boat for 120 hours is $1220.
the coordinates of its image?
The coordinates of the image of point (2 , -4) after reflection across
the x-axis is (2 , 4)
Step-by-step explanation:
Let us revise the reflection of a point
1. If point (x , y) reflected across the x-axis, then its image is (x , -y)
2. If point (x , y) reflected across the y-axis, then its image is (-x , y)
3. If point (x , y) reflected across the line y = x, then its image is (y , x)
4. If point (x , y) reflected across the line y = -x, then its image is (-y , -x)
∵ Point (2, -4) is reflected across the x-axis
∵ Point (x , y) reflected across the x-axis, then its image is (x , -y)
- Chang the sign of the y-coordinate of the point to find its image
∵ The y-coordinate of the point is -4
∴ The y-coordinate of the image is 4
∴ The image of the point (2 , -4) is (2 , 4) after reflection across the
x-axis
The coordinates of the image of point (2 , -4) after reflection across
the x-axis is (2 , 4)
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Answer: -13
Step-by-step explanation: -4 - 9 = -13