What is the equation of a line that is parallel to 2x+3y=3 and passes through the point (3, −4) ?
1 answer:
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Answer: option a.
Explanation:
A <em>shrink</em> of a function is a <em>shrink</em> on the vertical direction. It means that for a certain value of x, the new function will have a lower value, in the intervals where the function is positive, or a higher value, in those intervals where the function is negative. This is, the image of the new function is shortened in the vertical direction.
That is the reason behind the rule:
- given f(x), the graph of the function a×f(x), when a > 1, represents a vertical stretch of f(x),
- given f(x), the graph of the function a×f(x), when a < 1, represents a vertical shrink of f(x).
So, we just must apply the rule: to find a shrink of an exponential growth function, multiply the original function by a scale factor less than 1.
Since it <em>is a shrink of</em> <em>an exponential growth function</em>, the base must be greater than 1. Among the options, the functions that meet that conditon are a and b:
Now, following the rule it is the function with the fraction (1/3) in front of the exponential part which represents a <em>shrink of an exponential function</em>.
Answer:
The time taken by Macro to cover 200 m at the speed of 45 meter per minute is 4.44 minutes
Step-by-step explanation:
Given as :
The speed at which Macro swim = s = 45 meter per minute
The total distance cover by Macro = d = 200 meter
Let The time taken by Macro to cover 200 m = t minutes
<u>Now, From formula </u>
Distance = Speed × time
Or, d = s × t
Or, t =
Or, t =
Or, t = 4.44 minutes
So, The time taken by Macro to cover 200 m = t = 4.44 minutes
Hence The time taken by Macro to cover 200 m at the speed of 45 meter per minute is 4.44 minutes . Answer