Answer: The equation is y = 0.25/(x - 4) + 3
Step-by-step explanation:
If we have a function y = f(x)
A compression means that we multiply the function by a factor smaller than 1.
Then the vertical compression by a factor of 0.25 is:
y = 0.25*f(x)
a translation by A units to the right, means that we need to valuate the function in x - A.
So now we have:
y = 0.25*f(x - 4)
A translation in the y-axis means that we need to add a constant to the equation, then if we tralate it by 3 units up, we have:
y = 0.25*f(x - A) + 3
Then, if f(x) = 1/x
Our new equation is:
y = 0.25/(x - 4) + 3
Since in y=8, the slope is 0 (because there is no x) and b is 8 in y=mx+b, we know that the perpendicular line is x=(something) because the perpendicular lines of y=<number> are x=<number> due to that y=<number> equations are strictly horizontal while x=<number> equations are strictly vertical. Since we know that x=<number> has to pass through (7, 8), x =7
1 kilo=1000 meters.
The race is 5,000 meters total.
5000 divided by 1 station every 400 miles.
5000/400=12.5
12.5 water stations!
<em />I dont know if you're supposed to round but there you go!
Lets set the two numbers as 'a' and 'b'
Now let us set up some equations based on the information:
- sum of two numbers 49 --> a + b = 49
- difference of the two numbers is 15 --> a -b =15
Equations
a + b = 49 -- equation 1
a - b = 15 -- equation 2
Solve:
(equation 1) + (equation 2)
2a = 64
a = 32 -- equation 3
(equation 3)'s value of a into (equation 2)
32 - b = 15
b = 17
The products of 'a' and 'b' is 544
Hope that helps!
You are correct. here it is step by step.
[7-(2-5(2)+7)] +2
[7-(2-10+7)]+2
[7-(-1)]+2
8+2
10
