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

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.

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

We have:

$f(x) = |x|$

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

(a) The changes from f(x) to g(x)

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:

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

Hence, the changes are horizontal translations and vertical compression.

(b) Analyze f(x) and g(x)

f(x)

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.

g(x)

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. a) 4.148 b) 5.092 c) 0.458 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).

a) 4.148 ≈ 4.15
b) 5.092 ≈ 5.09
c) 0.458 ≈ 0.46
d) 17.315 ≈ 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