Given:
The parent function is:
The other function is:
To find:
The statement that describes a key feature of function g.
Solution:
We have,
Using these two functions, we get
Putting 
, we get
The y-intercept of the function g at (0,2). So, option A is correct and option B is incorrect.
We know that 
as 
and it will never intersect the line 
. It means the horizontal asymptote of the function g is
Therefore, the correct option is A.
You run 0.5 miles every 3 minutes => 1 mile every 6 minutes. Your friend runs 2 miles every 14 minutes => 1 mile every 7 minutes. You run a whole number of miles every number of minutes that is a multiple of 6. Your freind runs a whole number of miles every number of minutes that is a multiple of 7 Then the least possible number of miles that you both run to end at the same time is the least common factor of 7 and 6 minutes. This is 7 * 6 = 42 minutes. You will have run 42 min / (6 miles/min) = 7 miles, and your friend will have run 42 min / (7 miles/min) = 6 miles
Let's make the width 'x'.
And the length 'x+4'.
Perimeter is adding up ALL the sides.
Add: x + x + 4 + x + x + 4.
Simplify:
x + x + 4 + x + x + 4 = 4x + 8
Answer:
Step-by-step explanation:
- Let the speed of the boat be x
- Speed against the current in the river is x - 2
<u>Time in the river:</u>
<u>Time in the lake:</u>
<u>The difference:</u>
Solve for x to find the speed of the boat
<u>Multiply both sides by x(x - 2) to clear the fraction:</u>
- 6x = 15(x - 2) - x(x - 2)
- 6x = 15x - 30 - x² + 2x
- x² - 11x + 30 = 0
- (x - 5)(x - 6) =0
- x -5 = 0, x - 6 = 0
- x = 5 km/h, x = 6 km/h
It's c u do distribute the -4 to everything in the ( )'s then combine the like terms
