Answer:
Step-by-step explanation:
Hi there,
The graph indicated is showing a horizontal asymptote. In fact, it is showing both a horizontal and a <em>vertical </em>asymptote.
To tell which type it is, notice where the graph "shoots off" and almost forms an imaginary straight line in one direction. Using this logic, the horizontal asymptote will be exactly horizontal, parallel to x-axis, and vertical asymptote will be exactly vertical, parallel to y-axis.
With this graph, we notice the horizontal asymptote is at y=0, where the x-axis is. The vertical asymptote is bit more difficult to determine graphically, but can definitely say it is past x=-10. We could determine it if we had the function, but that is not necessary for this question.
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thanks,
It moves the graph 5 steps downwards on the y axis.
Answer:
look at explanation
Step-by-step explanation:
To solve all of these questions you just need to scale. While scaling you can divide or multiply.
1.
(divide by 4 to get unit rate)
unit rate = 
2. If it takes one hour to travel 40 miles, then we don't have to scale or anything. We know
, the answer is...
"It'll only take one hour to travel 40 miles. This is correct because the unit rate is
. "
3. Knowing that the constant speed of the plane is
, we can scale then add half of the unit rate to get our answer.
x 3 =
800 x 3 = 2400
then add half of unit rate which is
= 400
so, our answer is 
4.
<--- ( divided by 2)
( multiplied x 2.5) ---> 
To get an easier way to find the answer, if possible you can scale back farther than the 1 hour mark.
Elmer would take 2 and a half hours to ride 15 km.
5. The boys speed is
. All we need to do is divide by 2.
= 4
Answer:
8 x + 25y ≥100
x+y ≤ 14
Step-by-step explanation:
Hi, to answer this question we to write a system of inequalities.
First inequality:
The product of the earnings per hour working at culvers (8) and the number of hours worked there, plus the product of the earnings per hour mowing lawns (8) and the number of hours mowing must be greater or equal to $100.
Second inequality:
The amount of time he works at culvers (x) plus the amount of time he works mowing lawn (y) must be less or equal to 14 hours.
8 x + 25y ≥100
x+y ≤ 14
Where:
x = number of hours worked at Culvers
y= number of hours worked Mowing lawns
Answer:
For k = 6 or k = -6, the equation will have exactly one solution.
Step-by-step explanation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots
such that
, given by the following formulas:



If
, the equation has only one solution.
In this problem, we have that:

So




We will only have one solution if
. So





For k = 6 or k = -6, the equation will have exactly one solution.