How can you write an equation for a line from one point and the slope?
1 answer:
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Answer:
Maximum volume error = ±540 cm³
Relative error = 0.02
Percentage error = 2%
Step-by-step explanation:
Relative error : The ratio of volume error to the total volume.
Percentage error: The product of relative error and 100.
The volume of a cube is =
v =x³
Differentiate with respect to x
Here are x = 30 cm and dx= ±0.2 cm
∴ dv = 3×(30 cm)² (±0.2 cm)
=±540 cm³
The volume of the cube = 30³ cm ³ = 27,000 cm³
Then the relative error
= 0.02.
The percentage error
= (0.02×100)
=2%
Given:
The equation is:
To find:
The graph of the line that contains ordered pairs that are solutions of the given equation.
Solution:
We need to find the graph of the given equation.
We have,
At , we get
So, the x-intercept of the given equation is at point (0,4).
At , we get
So, the y-intercept of the given equation is at point (4,0).
From the given graphs it is clear that the line in option C has x-intercept at point (0,4) and y-intercept at point (4,0).
Therefore, the correct option is C.