Step-by-step explanation:
A function f(x) can be scaled by a factor of "a" and translated by (h,k) by the relation:
f(x) -> a f(x-h)+k
substitute f(x) by sqrt(x), then
sqrt(x) -> a*sqrt(x-h) + k
So the given equation is derived from f(x) = sqrt(x), hence a radical function.
Answer:
- 1) y = 13.5x + 1
- 2) y = 12x + 4
- 3) Sam won the race
Step-by-step explanation:
<h3>Part 1</h3>
Sam's car is 1 ft in front of the start line and its speed is 13.5 ft/s.
<u>The distance after x seconds is:</u>
<h3>Part 2</h3>
Alice's car the speed 12 ft/s and after 3 seconds is 40 ft in front of the start line.
<u>The distance after x seconds is:</u>
- y = 12(x - 3) + 40 = 12x - 36 + 40 = 12x + 4
<h3>Part 3</h3>
<u>After 15 seconds the distance from the start line is:</u>
- Sam ⇒ y = 13.5*15 + 1 = 203.5 ft
- Alice ⇒ y = 12*15 + 4 = 184 ft
As we see Sam is further from the start line than Alice
(2x+6)/10 = (x+6)/8
10(x+6) = 8(2x+6)
10x + 60 = 16x + 48
6x = 12
x = 2
so
AE = 2(2) +6
AE = 4 + 6
AE = 10
The pattern of the trend line from what we can see here shows the existence of a positive upward trend.
<h3>What is a positive upward trend?</h3>
We can see that the graph has fluctuations which have an upward trend over the years. This upward trend can be gotten from the straight line that was drawn on the graph.
It slants to the top. This shows us that the trend is positive and rising over the period of time that we have in the graph. In the graph, the upward trend can be seen from the fact that there has been a rise in the temperature of the city over the time period that was illustrated. The increase in temperature rose from 31.5 to 33 degrees period of time.
Hence we can conclude that The pattern of the trend line from what we can see here shows the existence of a positive upward trend.
Read more on trend lines here: brainly.com/question/27194207
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