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Mumz [18]
3 years ago
5

If f(x) =

" alt="\frac{(3+x)}{(x-3)}" align="absmiddle" class="latex-formula">, what is f(a +2)?
Mathematics
1 answer:
kati45 [8]3 years ago
4 0

Answer:

f(a) = \frac{(a+5)}{(a-1)}

Step-by-step explanation:

Given : f(x) = \frac{(3+x)}{(x-3)}

In order to find f(a+2) we will substitute (a+2) for x in the given function, that is :

f(a) = \frac{(3+a+2)}{(a+2-3)}

f(a) = \frac{(a+5)}{(a-1)}

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During the first stages of an epidemic, the number of sick people increases exponentially with time. Suppose that at = 0 days th
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T = days passed

r = rate of growth

by 0 day, or t = 0, there are 2 folks sick,

\bf \qquad \textit{Amount for Exponential Growth}
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2=P(1+r)^0\implies 2=P\cdot 1\implies 2=P\qquad \boxed{A=2(1+r)^t}

 by the third day, t = 3, there are 40 folks sick,

\bf \qquad \textit{Amount for Exponential Growth}
\\\\
A=P(1 + r)^t\qquad 
\begin{cases}
A=\textit{accumulated amount}\to &40\\
P=\textit{initial amount}\to &2\\
r=rate\to r\%\to \frac{r}{100}\\
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40=2(1+r)^3\implies 20=(1+r)^3\implies \sqrt[3]{20}=1+r
\\\\\\
\sqrt[3]{20}-1=r\implies 1.7\approx r\qquad \boxed{A=2(2.7)^t}

how many folks are there sick by t = 6?   \bf \stackrel{that~many}{A=2(2.7)^6}
8 0
3 years ago
What is the solution to the system of equations shown in the graph?
Katen [24]
The solution is where both lines intersect. First find the x-coordinate which we will find by going to the left two units. That means x = -2. Now going up one unit, which gives us y = 1

(-2, 1)

8 0
3 years ago
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hodyreva [135]

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Additionally, we can calculate the perimeter of the circle, or the circumference, with the following formula:

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8 0
3 years ago
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3 years ago
Find the volume of the wedge cut from the first octant by the cylinder z=12-3y^2 and the plane x+y=2.
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Answer:

The wedge cut from the first octant ⟹ z ≥ 0 and y ≥ 0 ⟹ 12−3y^2 ≥ 0 ⟹ 0 ≤ y ≤ 2  

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V = ∫∫∫ dzdydx  

dz has changed from zero to 12−3y^2  

dy has changed from zero to 2-x  

dx has changed from zero to 2  

V = ∫∫∫ dzdydx = ∫∫ (12−3y^2) dydx = ∫ 12(2-x)-(2-x)^3 dx =  

24(2)-6(2)^2+(2-2)^4/4 -(2-0)^4/4 = 20

Step-by-step explanation:

8 0
3 years ago
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