Correct question is;
The function f(x) = 6x + 8 represents the distance run by a cheetah in miles. The function g(x) = x − 2 represents the time the cheetah ran in hours. Solve (f/g)(3), and interpret the answer.
Answer:
26 is the cheetahs rate in miles per hour.
Step-by-step explanation:
We are given;
f(x) = 6x + 8
g(x) = x − 2
Thus;
f/g = f(x)/g(x)
> (6x + 8)/(x − 2)
Since we are looking for (f/g)(3), then we have;
> (6(3) + 8)/((3) − 2) = 26
Since f(x) is distance and g(x) is time, then, we know that distance/time = speed. Thus, the interpretation is 26 mph which is the speed of the cheetah.
When ever you have percentages, it should be helpful to bear in mind you can express them as multipliers. In this case, it will be helpful.
So, if we let:
a = test score
b = target score
then, using the information given:
a = 1.1b + 1
a = 1.15b - 3
and we get simultaneous equations.
'1.1' and '1.15' are the multipliers that I got using the percentages. Multiplying a value by 1.1 is the equivalent of increasing the value by 10%. If you multiplied it by 0.1 (which is the same as dividing by 10), you would get just 10% of the value.
Back to the simultaneous equations, we can just solve them now:
There are a number of ways to do this but I will use my preferred method:
Rearrange to express in terms of b:
a = 1.1b + 1
then b = (a - 1)/1.1
a = 1.15b - 3
then b = (a + 3)/1.15
Since they are both equal to b, they are of the same value so we can set them equal to each other and solve for a:
(a - 1)/1.1 = (a + 3)/1.15
1.15 * (a - 1) = 1.1 * (a + 3)
1.15a - 1.15 = 1.1a + 3.3
0.05a = 4.45
a = 89
The functions supplied appear to be the same? Regardless:
We have the equation y = 5x.
Therefore the gradient of this graph will be 5, so for every 1 increase in the y axis, there will be 5 in the x.
It will appear as a straight line passing through the origin and the point (1, 5).
Answer:
If,
But 3^x ≠ 21875,if x is a whole number.
<h2>HOPE U UNDERSTOOD</h2><h3>THANKS★</h3><h3>Any doubts?COMMENT PLEASE</h3>
That's true.
That will make the thing a third of its original size.
