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3 years ago

Simplify. Show your work. ( 6x-2 ) ^2 ( 0.5x )^4

Mathematics

1 answer:

mrs_skeptik [129]3 years ago

4 0

(6x-2)(6x-2) = 36x-12x-12x+4 = 36x+4

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What is the range for the following function? y=1/(x+2)+3

LUCKY_DIMON [66]

Answer:

$\large \boxed{\text{C) }\{y: y \in \mathbb{R}, y \ne 3\} }$

Step-by-step explanation:

The range is the spread of the y-values (minimum to maximum distance travelled).

The graph of your function is a hyperbola shifted two units left and three units up from the origin.

There is a vertical asymptote at x = -2, so y does not exist when x = -2. However,

$\displaystyle \lim_{x \rightarrow -{2}^{+}}f(x) = \lim_{x \rightarrow -{2}^{+}}\left (\dfrac{1}{x+2}+3 \right ) = 0 + 3 = 3\\\\\lim_{x \rightarrow -{2}^{-}}f(x) = \lim_{x \rightarrow -{2}^{-}}\left (\dfrac{1}{x+2}+3 \right ) = 0 + 3 = 3$

Since the limit from either side is the same,

$\displaystyle \lim_{x \rightarrow -{2}}f(x) = 3$

The graph below shows the asymptotes of your function.

Thus. y can take any value except 3.

In set builder notation, the range is

$\large \boxed{\mathbf{\{y: y \in \mathbb{R}, y \ne 3\} }}$

4 0

3 years ago

Pq=6x+25 and qr=16-3x; find pr

Viktor [21]

$Given:\\\overline{PQ}=6x+25\\\overline{QR}=16-3x\\\\Finding:\overline{PR}$

$If \; Q \; is \; a \; point \; in \; between \; the \; line \; segment \; \overline{PR}, \; \\ then \; the \; distance \; of \; line \; segment \; \overline{PR} \; \\ can \; be \; found \; by \; adding \; line \; segment \; \overline{PQ} \; and \; \overline{QR}.$

$Using \; the \; concept \; \overline{PQ}+\overline{QR}=\overline{PR} \;,\\ we \; need \; to \; set \; up \; an \; equation \; given \; below:$

$\overline{PR} =6x+25 +16-3x\\\\Step \; 1: Grouping \; Like \; Terms\\\overline{PR} =6x-3x+25 +16\\\\Step \; 2: Combining \; Like \; Terms\\\overline{PR} =3x+41$

Conclusion:

$\overline{PR} \; is \; represented \; the \; expression \; 3x +41$

3 0

3 years ago

Read 2 more answers

Hi there, please help:))

netineya [11]

Answer:

1/4

Step-by-step explanation: Slope is Rise over run you go up one and over four, so the slope is 1/4

7 0

3 years ago

Am I correct on 12?

lukranit [14]

Yes, HL would be correct.

This states that if two hypotenuses are congruent (they have the same one)

and if one pair of legs are congruent,

the figure is congruent.

I hope this helps!
~cupcake

7 0

4 years ago

What is an equation of the line that passes through the points (6, 4) and(6,−6)?

Tems11 [23]

Answer:

Step-by-step explanation:

6 0

2 years ago