All categories

3 years ago

F(x) = 2 x + 9; g(x) = f(-x)

Mathematics

1 answer:

Crank3 years ago

4 0

Answer:

Step-by-step explanation:

You might be interested in

Which function of x has the least value for the y-intercept?

makkiz [27]

It would be option 2 because -3 is the lowest value and y=Mx+b b is the y intercept

6 0

3 years ago

A culture started with 4000 bacteria after 8 hours it grew to 4400 bacteria. Predict how many bacteria will be present after 9 h

Leno4ka [110]

$\bf \qquad \textit{Amount for Exponential change}\\\\
A=P(1\pm r)^t\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{starting amount}\\
r=rate\to r\%\to \frac{r}{100}\\
t=\textit{elapsed period}\\
\end{cases}\\\\
-------------------------------\\\\$

$\bf A=P(1+r)^t\qquad 
\begin{cases}
\textit{hour 0, starting point}\\
t=0\qquad A=4000
\end{cases}\implies 182=ae^{k0}
\\\\\\
4000=P(1+r)^0\implies 4000=P
\\\\\\
thus\qquad A=4000(1+r)^t\\\\
-------------------------------\\\\$

$\bf A=P(1+r)^t\qquad 
\begin{cases}
\textit{8 hours later}\\
t=8\qquad A=4400
\end{cases}\implies 4400=4000(1+r)^8
\\\\\\
\cfrac{4400}{4000}=(1+r)^8\implies \cfrac{11}{10}=(1+r)^8\implies \sqrt[8]{\cfrac{11}{10}}=1+r
\\\\\\
\sqrt[8]{\cfrac{11}{10}}-1=r\implies 0.012\approx r\qquad thus\qquad \boxed{A=4000(1+0.012)^t}$

how many bacteria after 9 hours? well, 9hours later is just t = 9, plug that in, to get A

4 0

3 years ago

Read 2 more answers

How much would $120 invested at 86% interest compounded monthly to be worth after 21 years round to the nearest cent

8_murik_8 [283]

The formula is
A=p (1+r/k)^kt
A future value?
P present value 120
R interest rate 0.86
K compounded monthly 12
T time 21 year
A=120×(1+0.86÷12)^(12×21)
A=4,510,568,953.1372

8 0

4 years ago

The mathematics faculty at a college consists of 9 professors, 8 associate professors, 10 assistant professors, and 10 instructo

Reika [66]

Answer:

19/37

Step-by-step explanation:

The mathematics faculty at a college consists of 9 professors, 8 associate professors, 10 assistant professors, and 10 instructors. If one faculty member is randomly selected, find the probability of choosing a professor or an instructor

Total number of people in the faculty =

9 professors + 8 associate professors+ 10 assistant professors+ 10 instructors

= 37 people

Hence,

The probability of choosing a professor or an instructor

= P( Professor) + P( Instructor)

= 9/37 + 10/37

= 19/37

6 0

3 years ago

An animal gained 4 pounds steadily over 8 years. What is the unit rate of pounds per year?

marishachu [46]

Answer:

Step-by-step explanation:

4/8 = .5 pounds/year

8 0

3 years ago

Read 2 more answers