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3 years ago

The domain of the function is The range of the function is

Mathematics

1 answer:

Alika [10]3 years ago

3 0

Answer: domain: all nonzero real numbers

range: all nonzero real numbers

Step-by-step explanation:

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A line with a slope of 8 passes through the points (-1,1) and (0,k). What is the value of k?

Diano4ka-milaya [45]

Answer:

k = 9

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to 8

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 1, 1) and (x₂, y₂ ) = (0, k)

m = $\frac{k-1}{0+1}$ = k - 1 = 8 ( add 1 to both sides )

k = 9

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3 years ago

The time it takes you to go a certain distance varies inversely with the speed of travel. Suppose it takes you 4 hours to get to

fgiga [73]

$\bf \qquad \qquad \textit{inverse proportional variation}
\\\\
\textit{\underline{y} varies inversely with \underline{x}}\qquad \qquad y=\cfrac{k}{x}\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------$

$\bf \textit{time it takes varies inversely with the speed rate}\qquad \stackrel{time}{t}=\cfrac{k}{\stackrel{rate}{r}}
\\\\\\
\textit{we also know that }
\begin{cases}
t=\stackrel{hrs}{4}\\
r=\stackrel{mph}{50}
\end{cases}\implies 4=\cfrac{k}{50}\implies 200=k
\\\\\\
\boxed{t=\cfrac{200}{r}}
\\\\\\
\textit{if your rate r = 40, what is your distance \underline{t}?}\qquad t=\cfrac{200}{40}$

3 0

3 years ago

The table below shows an inequality and a number by which to multiply both sides.

Paraphin [41]

Answer:

10>-15

Step-by-step explanation:

4 0

3 years ago

Re-write the following expressions with the fewest terms possible: 12x-10-8x+99y+6

dimaraw [331]

12x - 10 - 8x + 99y + 6

With the fewest terms possible is

4x + 99y - 4

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6 0

3 years ago

Which of the following best describes the slope of the line below? A. Zero B. Negative C. Undefined D. Positive

lyudmila [28]

Answer:

C. Undefined

Step-by-step explanation:

Any vertical line is going to have an undefined slope. Plug in any two points from that line, and the formula will give you an undefined number.

Hope this helps!

4 0

3 years ago