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Assignment: Function Equations Investigation

kakasveta [241]

Function 1:

For the given table

$\begin{array}{cc}x&f(x)\\-2&-2\\-1&1\\0&4\\1&7\end{array}$

you can plot the graph of the function (see first attached diagram). This function is linear and has equation f(x)=3x+4.

Function 2:

For the given function f(x)=-2x+3 you can create a table

$\begin{array}{cc}x&f(x)\\-2&7\\-1&5\\0&3\\1&1\end{array}$

and plot the graph (see second attached diagram).

Function 3:

For the given graph of the function, you can find the function:

$\dfrac{x-0}{6-0}=\dfrac{y-(-3)}{0-(-3)},\\ \\\dfrac{x}{6}=\dfrac{y+3}{3},\\ \\2(y+3)=x,\\ \\y=\dfrac{1}{2}x-3.$

Thus, the equation of the function 3 is $f(x)=\dfrac{1}{2}x-3.$

The table will take a look

$\begin{array}{cc}x&f(x)\\-2&-4\\-1&-3.5\\0&-3\\1&-2.5\end{array}$

3 0

4 years ago

What is the y- intercept

Sergio [31]

Answer:

6 because that is where the paarabola crosses the y line

Step-by-step explanation:

3 0

3 years ago

A graphing calculator is recommended. A grain silo consists of a cylindrical main section and a hemispherical roof. If the total

eimsori [14]

Answer:

11.28 ft

Step-by-step explanation:

The volume of a cylinder can be written as;

Volume V1 = πr^2 h

The volume of an hemisphere can be written as;

Volume V2 = (2/3)πr^3

The total volume of the silo is;

V = V1 + V2

V = πr^2 h + (2/3)πr^3

Given;

Volume of silo V= 15000 ft^3

Height of cylinder part h = 30 ft

Substituting the values;

V = πr^2 h + (2/3)πr^3

15000 = 30πr^2 + (2/3)πr^3

15000/π = 30r^2 + (2/3)r^3

2r^3 + 90r^2 - (15000×3/π) = 0

Solving the equation, we have;

r = 11.28 ft or -15.61 ft or -40.67 ft

Since the radius cannot be negative;

Radius r = 11.28 ft

3 0

3 years ago

Jan buys 5 yards of blue fabric then she buys 2 feet of red fabric and 4 feet of green fabric how many inches of fabric does Jan

Anna11 [10]

21 because you turn the 5 yards in to feet which is 15, then you add 15+4+2=21

6 0

3 years ago

Read 2 more answers

The Office of Student Services at UNC would like to estimate the proportion of UNC's 28,500 students who are foreign students. I

ANEK [815]

Answer:

For the sampling distribution of the sample proportion for a sample of size 50, the mean is 0.061 and the standard deviation is 0.034.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$