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3 years ago

Write an equation in slope-intercept form of the line having the given slope and y-intercept.

Mathematics

1 answer:

pychu [463]3 years ago

7 0

Answer:

The answer to your question is y = 4/6x - 4

Step-by-step explanation:

Data

m = 4/6

P (0, -4)

slope-intercept form = ? y = mx + b where m is the slope and

b is the y-intercept

Formula

y - y1 = m(x - x1)

Substitution

y - (-4) = 4/6(x - 0)

Simplification

y + 4 = 4/6x

Result

y = 4/6x - 4

slope = 4/6 y-intercept = -4

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How do you find the pattern of 0,2,6,12,20???

professor190 [17]

0x1=0
1x2=2
2x3=6
3x4=12
4x5=20

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3 years ago

The graph of f (0) = -4 cos 0 is shown below. The range of this function is

Anika [276]

Answer:

-4 ≤ f ( $\theta$ ) ≤ 4

Step-by-step explanation:

The range of a function is the allowed y-values of the function.

We can simply look at the periodic function below and see that the y-value ranges from a negative 4 to a positive 4. It oscillates betwen -4 and 4. That is the range.

We can say -4 ≤ f ( $\theta$ ) ≤ 4

Last answer choice is right.

*** <u>NOTE:</u> it is a type, not "0", rather " $\theta$ "

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3 years ago

A delivery truck drove 203 mi in 3.5 h. After unloading and loading new cargo, it traveled on another 243 mi for 4.5 h.

sveticcg [70]

The answer is 55.75! Trust me I took a test on this and its the right one.

8 0

3 years ago

Read 2 more answers

What is the area?

balu736 [363]

Answer:

Solution given:

For rectangle

length [L]=BC=16in

breadth [b]=AB=4in

For traingle

length[l]=8in

breadth [b]=3in

total area =area of rectangle ABCD+2×area of triangle DEF

=L×b+2×1/2×[b×h]

=16×4+8×3=88in² is your answer

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3 years ago

How does the graph of f(x)=3lx+2l+4 relate to its parent function?

Sergeeva-Olga [200]

$\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\\\

\begin{array}{rllll} 
% left side templates
f(x)=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
y=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
f(x)=&{{ A}}\sqrt{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}}(\mathbb{R})^{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}} sin\left({{ B }}x+{{ C}} \right)+{{ D}}
\end{array}$

$\bf \begin{array}{llll}
% right side info
\bullet \textit{ stretches or shrinks horizontally by } {{ A}}\cdot {{ B}}\\\\
\bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}
\\\\
\bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\
\qquad if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\
\qquad if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\
\end{array}$

$\bf \begin{array}{llll}


\bullet \textit{ vertical shift by }{{ D}}\\
\qquad if\ {{ D}}\textit{ is negative, downwards}\\\\
\qquad if\ {{ D}}\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{{{ B}}}
\end{array}$

now, with that template above in mind, let's see this one

$\bf parent\implies f(x)=|x|
\\\\\\
\begin{array}{lllcclll}
f(x)=&3|&1x&+2|&+4\\
&\uparrow &\uparrow &\uparrow &\uparrow \\
&A&B&C&D
\end{array}$

A=3, B=1, shrunk by AB or 3 units, about 1/3
C=2, horizontal shift by C/B or 2/1 or just 2, to the left
D=4, vertical shift upwards of 4 units

check the picture below

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3 years ago