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Minchanka [31]
3 years ago
9

What is the equation of the function that is graphed as line a?

Mathematics
1 answer:
Andrei [34K]3 years ago
4 0

Answer:

B

Step-by-step explanation:

We see that the line intersects the y-axis at -1.  As a result, we need to choose an equation with -1, either B or C.  We see that the different is the slope.  For choice B, the slope is \frac{1}{3}, meaning that every unit up equates to 3 blocks to the right.  Counting along the line, we see that this is correct.

You might be interested in
Write the equation that passes through the following points:<br><br> (5,0) and (−10,−5)
Vikentia [17]

Answer:

The answer is:

y =  \frac{1}{3} x -  \frac{5}{3}

Step-by-step explanation:

❃Incase you forgot what the linear equation formula is ☟

y = mx + b

❃Incase you also forgot, The is what the slope formula is ☟

m = \frac{y_2 - y_1 }{x_2 - x_1}

➊ First: We are going to be solving for the slope.

m = \frac{  - 5 - 0}{ - 10 - 5} = \frac{ - 5}{  - 15} =  \frac{1}{3}

➋Second: We find the y-intercept.

y = mx + b \\ 0 =  \frac{1}{3} (5) + b \\ 0 =  \frac{5}{3}  + b \\ \frac{  -   \frac{5}{3}  =  -  \frac{5}{3 }   \:  \:  \:  \:  \:  \:  \: \: \: \: \: \: }{  -  \frac{5}{3}  = b}

➌Third: Plug in.

y =  \frac{1}{3} x -  \frac{5}{3}

4 0
3 years ago
Choose the equation that best represents the equation of the graph of f(x) = 3^x +4.
Alchen [17]
The answer would be D
4 0
3 years ago
A source of information randomly generates symbols from a four letter alphabet {w, x, y, z }. The probability of each symbol is
koban [17]

The expected length of code for one encoded symbol is

\displaystyle\sum_{\alpha\in\{w,x,y,z\}}p_\alpha\ell_\alpha

where p_\alpha is the probability of picking the letter \alpha, and \ell_\alpha is the length of code needed to encode \alpha. p_\alpha is given to us, and we have

\begin{cases}\ell_w=1\\\ell_x=2\\\ell_y=\ell_z=3\end{cases}

so that we expect a contribution of

\dfrac12+\dfrac24+\dfrac{2\cdot3}8=\dfrac{11}8=1.375

bits to the code per encoded letter. For a string of length n, we would then expect E[L]=1.375n.

By definition of variance, we have

\mathrm{Var}[L]=E\left[(L-E[L])^2\right]=E[L^2]-E[L]^2

For a string consisting of one letter, we have

\displaystyle\sum_{\alpha\in\{w,x,y,z\}}p_\alpha{\ell_\alpha}^2=\dfrac12+\dfrac{2^2}4+\dfrac{2\cdot3^2}8=\dfrac{15}4

so that the variance for the length such a string is

\dfrac{15}4-\left(\dfrac{11}8\right)^2=\dfrac{119}{64}\approx1.859

"squared" bits per encoded letter. For a string of length n, we would get \mathrm{Var}[L]=1.859n.

5 0
3 years ago
Someone please help :(
riadik2000 [5.3K]

Answer:

y = -0.2x + 8

Step-by-step explanation:

To write a linear function, calculate the rate of change of the gallon of water leaving the tank and the starting level.

The function will describe the number of gallons over time or (time, gallons).

This means the function has data points (1, 7.8) and (9, 6.2).

Use the rate of change or slope formula to calculate it.

m = \frac{7.8 - 6.2}{1 - 9} =\frac{1.6}{-8} = -0.2

This means that for the formula y = mx+b then m = -0.2.

This also means that after losing 0.2 gallons the first hour it was at 7.8. So the starting value is 8 gallons.

The equation is y = -0.2 x + 8.

5 0
3 years ago
Anyone know the answer?
sattari [20]
The answer is c because k and m are the same so l and n are also the same


7 0
3 years ago
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