$\text{Let}\\\\k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\\\=========================$

$\text{We have}\ y=\dfrac{1}{5}x+10\to m_1=\dfrac{1}{5}\\\\\text{Therefore}\ m_2=-\dfrac{1}{\frac{1}{5}}=-5.\\\\\text{Put the value of a slope and the coordinates of the point (-3, 5)}\\\text{to the equation}\ y=mx+b:\\\\5=-5(-3)+b\\5=15+b\qquad\text{subtract 15 from both sides}\\-10=b\to b=-10\\\\\text{Finally:}\\\\y=-5x-10$

7 0

3 years ago

Talib is trying to find the inverse of the function to the right. His work appears beneath it. Is his work correct? Explain your

Rasek [7]

To find the inverse of a function, we make the independent variable the subject of the formula.

Thus, the inverse of the given function is evaluated as follows.
$f(x)=-8x+4 \\ y=-8x+4 \\ -8x=y-4 \\ x= \frac{y-4}{-8} \\ f^{-1}(x)=\frac{x-4}{-8}$

From the work show, it can be seen that Talib's work is correct.

4 0

4 years ago

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Which of the following is the algebraic expression that best describes the sequence 3,6,9,12 ?

Novay_Z [31]

I don't see any choices so I am going to give you what I think the answer would be. The rule would be 3x. That would be you could plug any number in and they would give you the sequence. Example:
x = 1
x times 3 = 3.
We could even find future things like:
x = 10
x times 10 = 30.
If we were doing it based on the algebraic expression it would be "multiplication" because we are multiplying. Hope this helped. :)

6 0

3 years ago

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