Answer:
2
Step-by-step explanation:
2 is the answer because the circle touches the line only 2 times.
Hope this helps.
The meaning of the horizontal asymptote for the given function is that;
The horizontal asymptote of y = 0 means that the person’s temperature will approach 98.6ºF as time elapses
We are told the increase in a person's body temperature above 98.6°F can be modeled by the function;
T(t) = 4t/(t² + 1)
Where;
t represents the time elapsed
Now, let us find a way to simplify the function so that t at the numerator is removed.
Thus, we will now have;
4t/(t² + 1) = 4/(t + (1/t))
To get the horizontal asymptote, we have to find the limit of the function as t approaches infinity.
Thus;
Lim t ➡ ∞ gives;
T(∞) = 4 × 1/(∞ + (1/∞))
T(∞) = 4 × 0
T(∞) = 0
This means that y = 0 is the horizontal asymptote of the function.
Thus, in conclusion The horizontal asymptote of y = 0 means that the person’s temperature will approach 98.6ºF as time elapses
Read more on horizontal asymptote at; brainly.com/question/8493280
Answer:
a.Z(-2,1)
b.Z(1,1)
c.Z(-3,2)
Step-by-step explanation:
z(-2,3)
Imagine this point on a graph.
Translate it down two units :
the x stays -2, by going down the y decreases 2 so 3-2=1
Z(-2,1)
Translate Right three units : I'm assuming that we use the answer from the first translation
Z(-2,1)
The y doesn't change this time the x increases 3 since we're moving to the right.
Z(1,1)
Translate up 1 and left 4:
Z(1,1)
by moving up one we have Z(1,2) then by moving 4 to the left we get Z(-3,2)
Hope this helps :)
Answer:
y=-x+10
Step-by-step explanation:
The formula is y=mx+b, where m is the slope and b is the y-intercept. To solve plugin the values for the corresponding variables. It has a slope of -1 and a y-intercept of 10.
Answer:
{ x : x = 2^n -1 , n ∈ N}
Where N is the set of natural numbers
Step-by-step explanation:
Mathematically, we can rewrite each term in the set as follows;
1 = 2^1 - 1
3 = 2^2 -1
7 = 2^3 -1
15 = 2^4-1
31 = 2^5-1
63 = 2^6 -1
so we can conclude that the nth term is 2^n -1
So writing this in set builder notation, we have;
{ x : x = 2^n -1 , n ∈ N}
Where N is the set of natural numbers
