Ok so we have movie ticket sales and we have 6x+9y=1,500. So for types of graphs, we have linear, exponential, quadratic, and those are the basic types of graphs. Now looking at the equation, we can quickly see that the answer is linear because, looking at the constant, 1500 and the other numbers, we can see the graph will be increasing linear. Hope this helped, feel free to ask questions if you have any!
The meaning of the horizontal asymptote is that the increase in a person's body temperature is a constant value when long time passes.
You can obtain that value by calculating the limit of the function when t → ∞:
4t
T(t) = ------------- => Lim T(t) when t → +∞ = 0.
t^2 + 1
That means that at long term the Temperature tends to remain at 98.6°F.
Answer:
Function B has a greater rate of change
Step-by-step explanation:
to find the rate of change or slope
Function A
(0,2) (3,5)
m =(y2-y1)/(x2-x1)
= (5-2)/(3-0)
= 3/3
m=1
Function B
m =(y2-y1)/(x2-x1)
= (9-6)/(6-4)
= 3/2
= 1.5
Function B has a greater rate of change
Answer: 37 units
Step-by-step explanation:
This also works as the height of the triangle.
This also works as the base of the triangle.
Let's call pink ''a'', and blue ''b''. The side we're looking for ''c'' is the hypothenuse.
To find the values of a and b, use the area formula of a square and solve for a side. In this case, since we're going to need the squared values, this step can be omitted.
![s=\sqrt[]{A}](https://tex.z-dn.net/?f=s%3D%5Csqrt%5B%5D%7BA%7D)
Let's work with Blue.
![s=\sqrt[]{144units^2} \\s=12units](https://tex.z-dn.net/?f=s%3D%5Csqrt%5B%5D%7B144units%5E2%7D%20%5C%5Cs%3D12units)
Now Pink.
![s=\sqrt[]{1225units^2}\\s=35units](https://tex.z-dn.net/?f=s%3D%5Csqrt%5B%5D%7B1225units%5E2%7D%5C%5Cs%3D35units)
So we have a triangle with a base of 35 units and a height of 12 units.
Now let's use the pythagoream's theorem to solve.
![c^2=a^2+b^2\\c=\sqrt[]{a^2+b^2} \\c=\sqrt[]{(12units)^2+(35units)^2}\\c=\sqrt[]{144units^2+1225units^2}\\ c=\sqrt[]{1369units^2}\\ c=37units](https://tex.z-dn.net/?f=c%5E2%3Da%5E2%2Bb%5E2%5C%5Cc%3D%5Csqrt%5B%5D%7Ba%5E2%2Bb%5E2%7D%20%5C%5Cc%3D%5Csqrt%5B%5D%7B%2812units%29%5E2%2B%2835units%29%5E2%7D%5C%5Cc%3D%5Csqrt%5B%5D%7B144units%5E2%2B1225units%5E2%7D%5C%5C%20c%3D%5Csqrt%5B%5D%7B1369units%5E2%7D%5C%5C%20c%3D37units)
H = Heads, T = tails
1st Coin 2nd Coin Final Outcome, ÷ 4 possible outcomes
H (H,H) 1/4, or 25%
H
T (H,T) 1/4, or 25%
H (T,H) 1/4, or 25%
T
T (T,T) 1/4, or 25%
If order does not matter:
T,T: 25%
TH or HT: 50%
HH: 25%
