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saveliy_v [14]
4 years ago
9

What is the length of a side of a cube with a volume of 216 in3? inches

Mathematics
1 answer:
yuradex [85]4 years ago
5 0
6 in is the length cause yhu have to multiply

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Given the functions f (x)=\x] and g(x)= 2 x + 31 – 4 a. Determine the
Arisa [49]

Functions can be transformed through translation, dilation, etc.

  • <em>The changes are horizontal translations and vertical compression.</em>
  • <em>The domain of f(x) is </em>(-\infty,\infty)<em>, while its range is </em>(0,\infty)<em />
  • <em>The domain of g(x) is </em>(-\infty,\infty)<em>, while its range is </em>(-4,\infty)<em />

We have:

f(x) = |x|

g(x) = 2|x - 3| - 4

<u>(a) The changes from f(x) to g(x)</u>

First, f(x) was translated to the left by 3 units.

The rule is:

(x,y) \to (x-3.y)

So, we have:

f'(x) = |x - 3|

Next, the function is compressed vertically by 2

The rule is:

(x,y) \to (x,2y)

So, we have:

f"(x) = 2|x - 3|

Lastly, the function is translated down by 4 units.

The rule is:

(x,y) \to (x, y - 4)

So, we have:

g(x) = 2|x - 3| - 4

<em>Hence, the changes are horizontal translations and vertical compression.</em>

<u>(b) Analyze f(x) and g(x)</u>

<u>f(x)</u>

It spans across the x-axis; so, its domain is (-\infty,\infty)

The y values start from 0 and opens upward; so, its range is (0,\infty)

It crosses the x and y axes at 0; so its intercepts are 0.

<u>g(x)</u>

It spans across the x-axis; so, its domain is (-\infty,\infty)

The y values start from -4 and opens upward; so, its range is (-4,\infty)

It crosses the x-axis at -1 and -5; so its y-intercepts are -1 and -5

It crosses the y-axis at 2; so its x-intercept is 2

Read more about function transformation at:

brainly.com/question/13810353

4 0
3 years ago
Round these decimals to 2 decimal places. <br> a) 4.148<br> b) 5.092<br> c) 0.458<br> d) 17.315
ivolga24 [154]
If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up (+1).


If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down (no change).

<span>a) 4.14<u>8</u> ≈ 4.15
b) 5.09<u>2</u> ≈ 5.09
c) 0.45<u>8</u> ≈ 0.46
d) 17.31<u>5</u></span> ≈ 17.32



8 0
3 years ago
Read 2 more answers
Help me answer this please!!! will mark brainliest
Anni [7]

Answer:WX=65

Step-by-step explanation:as both traiangles are homologous,

WX/XZ=VW/ ZY

WX= 52×10/8

5 0
3 years ago
the function p(t)p(t)p, left parenthesis, t, right parenthesis models the average high temperature, in degrees celsius, of paity
Mnenie [13.5K]

The solution set for the last equation represents the set of all days when the towns have the same average high temperature.

  • The hotness of matter or radiation is expressed by the physical quantity known as temperature. The average air temperature for a specific time period, often a day, a month, or a year, as measured by a thermometer that has been properly exposed.
  • P(t) is the average high temperature, in degrees Celsius, of Paityn's town on t days.

       \begin{aligned} P(t)&=22.5+7.5\cos\left(\dfrac{2\pi (t-28)}{365}\right)\\\\  \end{aligned}

  • V(t) is the average high temperature, in degrees Celsius, of Vince's town on t days.

        \\ V(t)&=30.5+1.5\cos\left(\dfrac{2\pi (t-90)}{365}\right)

  • So, P(t) = V(t) represents the set of all the days when both towns have the same average high temperature.

To learn more about temperature, visit :

brainly.com/question/15267055

#SPJ4

5 0
1 year ago
Is this a function?
Paul [167]

9514 1404 393

Answer:

  no

Step-by-step explanation:

For the graph to represent a function, no vertical line may intersect it in more than one place. This graph does not pass the "vertical line test" so does not represent a function.

6 0
3 years ago
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