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AnnZ [28]
3 years ago
10

How do you write the domain. ex: for a graph or table

Mathematics
1 answer:
Ymorist [56]3 years ago
6 0
The domain is the x-axis and the range is the y axis.

Example:
(-2,4) (6,7) (3,-8)

D:{-2,6,3}
R:{4,7,-8}
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Growth Models 19515. In 1968, the U.S. minimum wage was $1.60 per hour. In 1976, the minimum wagewas $2.30 per hour. Assume the
VikaD [51]

In general, the exponential growth function is given by the formula below

f(x)=a(1+r)^x

Where a and r are constants, and x is the number of time intervals.

In our case, n=0 for 1960; therefore, 1968 is n=8,

\begin{gathered} f(8)=a(1+r)^8 \\ \text{and} \\ f(8)=1.6 \\ \Rightarrow1.6=a(1+r)^8 \end{gathered}

And 1976 is n=16

\begin{gathered} f(16)=a(1+r)^{16} \\ \text{and} \\ f(16)=2.3 \\ \Rightarrow2.3=a(1+r)^{16} \end{gathered}

Solve the two equations simultaneously, as shown below

\begin{gathered} \frac{1.6}{(1+r)^8}=a \\ \Rightarrow2.3=\frac{1.6}{(1+r)^8}(1+r)^{16} \\ \Rightarrow2.3=1.6(1+r)^8 \\ \Rightarrow\frac{2.3}{1.6}=(1+r)^8 \\ \Rightarrow(\frac{2.3}{1.6})^{\frac{1}{8}}=(1+r)^{}^{} \\ \Rightarrow r=(\frac{2.3}{1.6})^{\frac{1}{8}}-1 \\ \Rightarrow r=0.0464078 \end{gathered}

Solving for a,

\begin{gathered} r=0.0464078 \\ \Rightarrow a=\frac{1.6}{(1+0.0464078)^8}=1.113043\ldots \end{gathered}

a) Thus, the equation is

\Rightarrow f(n)=1.113043\ldots(1+0.0464078\ldots)^n

b) 1960 is n=0; thus,

f(0)=1.113043\ldots(1+0.0464078\ldots)^0=1.113043\ldots

The answer to part b) is $1.113043... per hour

c)1996 is n=36

\begin{gathered} f(36)=1.113043\ldots(1+0.0464078\ldots)^{36} \\ \Rightarrow f(36)=5.6983\ldots \end{gathered}

The model prediction is above $5.15 by $0.55 approximately. The answer is 'below'

4 0
1 year ago
What is the volume of the following triangular prism?
valkas [14]

to get volume, you must multiply all the numbers so once you multiply all of them, you'd get 1944000

7 0
3 years ago
Let f(x) = cos(x) + 2x.<br> Where does f have critical points?
adell [148]

Answer:

<em>f</em> has no critical points.

Step-by-step explanation:

We are given:

f(x)=\cos(x)+2x

A function has critical points whenever its derivative equals 0 or is undefined.

Differentiate the function:

f'(x)=-\sin(x)+2

Since this will never be undefined, solve for its zeros:

0=-\sin(x)+2

Hence:

\displaystyle \sin(x)=2

Recall that the value of sine is always between -1 and 1.

Thus, no real solutions exist.

Therefore, <em>f</em> has no critical points.

6 0
3 years ago
How many pairs of whole numbers have a sum of 40
Ahat [919]
It is 20 
39+1
38+2
37+3
36+4
35+5
<span>Until you get to 20+20</span>
3 0
3 years ago
What is the square root of 3(125/5-8)
Lady_Fox [76]

square root(3) * ((125 / 5) - 8) =

29.44

that's the final answer.

if possible please give me a brainliest. tnx good day

4 0
3 years ago
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