3 years ago

Given the function f(x) = The quantity of 4x minus 2, divided by 3, which of the below expressions is correct?

Mathematics

1 answer:

Eddi Din [679]3 years ago

8 0

This doesn't make since where is the following questions

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What are 1356 times 17 this is math obviously

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23052

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In the diagram above, 24 = x+30 and L2 = 2x+15. Find the measure of 24. 24 = [?]°

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3 years ago

What's the full equation for this graph?

swat32

1.
Left side of a graph is a line that passes through points $A=(-1,-1)$ and $B=(1,4)$ so we can write its equation as:

$(y-y_A)=\dfrac{y_B-y_A}{x_B-x_A}(x-x_A)\\\\\\
\big(y-(-1)\big)=\dfrac{4-(-1)}{1-(-1)}\big(x-(-1)\big)\\\\\\
y+1=\dfrac{4+1}{1+1}(x+1)\\\\\\y+1=\dfrac{5}{2}(x+1)\\\\\\y+1=\dfrac{5}{2}x+\dfrac{5}{2}\\\\\\y=\dfrac{5}{2}x+\dfrac{5}{2}-1\\\\\\\boxed{y=\frac{5}{2}x+\frac{3}{2}}$

2.
Right side of a graph is a parabola with vertex $V=(3,-3)$ that passes through point $P=(1,1)$ . Its equation:

$y=a(x-x_V)^2+y_V\\\\y=a(x-3)^2+(-3)\\\\y=a(x-3)^2-3$

Substitute $x=1$ and $y=1$ to calculate parameter $a$

$1=a(1-3)^2-3\\\\1=a(-2)^2-3\\\\1=4a-3\\\\4a=4\quad|:4\\\\a=1$

and we have the equation of parabola:

$y=a(x-3)^2-3\\\\y=1\cdot(x-3)^2-3\\\\y=(x-3)^2-3\\\\y=x^2-2\cdot x\cdot3+3^2-3\\\\y=x^2-6x+9-3\\\\\boxed{y=x^2-6x+6}$

From 1. and 2. full equation for graph is:

$f(x)=\begin{cases}\dfrac{5}{2}x+\dfrac{3}{2}\qquad\text{for}\,\,\,x\ \textless \ 1\\\\x^2-6x+6\qquad\text{for}\,\,\,x\geq1\end{cases}$

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4 years ago

Can someone help me on this?? 10 points to whoever helps.

e-lub [12.9K]

Answer:

whats the question?

Step-by-step explanation:

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3 years ago