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3 years ago

9

I need domain and range for this written in inequality notation please. this is a major grade for me so please i really need hel

p with this the screenshot of the graph is below

1 answer:

storchak [24]3 years ago

4 0

Answer:

Domain = x E R (means x is element of all real number)

Range = y ≤ 3

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I'll send a pic of the questions

Gnoma [55]

The initial expression is:

$-10+\frac{r}{5}=1$

So we can solve for r so:

$\begin{gathered} \frac{r}{5}=1+10 \\ r=11\cdot5 \\ r=55 \end{gathered}$

7 0

1 year ago

Consider the function V=g(x), where g(x) =x(6-2x)(8-2x), with x being the length of a cutout in cm and V being the volume of an

Andrej [43]

Answer:

The maximum volume of the open box is 24.26 cm³

Step-by-step explanation:

The volume of the box is given as $V=g(x)$ , where $g(x)=x(6-2x)(8-2x)$ and $0\le x\le3$ .

Expand the function to obtain:

$g(x)=4x^3-28x^2+48x$

Differentiate wrt x to obtain:

$g'(x)=12x^2-56x+48$

To find the point where the maximum value occurs, we solve

$g'(x)=0$

$\implies 12x^2-56x+48=0$

$\implies x=1.13,x=3.54$

Discard x=3.54 because it is not within the given domain.

Apply the second derivative test to confirm the maximum critical point.

$g''(x)=24x-56$ , $g''(1.13)=24(1.13)-56=-28.88\:$

This means the maximum volume occurs at $x=1.13$ .

Substitute $x=1.13$ into $g(x)=x(6-2x)(8-2x)$ to get the maximum volume.

$g(1.13)=1.13(6-2\times1.13)(8-2\times1.13)=24.26$

The maximum volume of the open box is 24.26 cm³

See attachment for graph.

6 0

3 years ago

Hardest math question ever

ohaa [14]

<h2>Part a)</h2>

You can name planes by one letter or using three points belonging to it that are <u>not</u> on the same line.

Another name for plane X could be:

Plane ABF, Plane BCF or Plane ACF. You may also get different names by reordering the three letters.

<h2>Part b)</h2>

Coplanar means 'on the same plane'.

The points on the same plane as point A are:

B, C and F.

<h2>Part c)</h2>

Collinear means 'on the same line'.

Other points on the same line as point C are:

A or B.

<h2>Part d)</h2>

The line that intersects ED is:

AC, it can be also named AB or BC.

5 0

1 year ago

Every time Kristina bakes a batch of brownies, she uses 1/8

mash [69]

Answer:

6 batches

Step-by-step explanation:

3/4 divided by 1/8 = 6/8 divided by 1/8 = 6 batches

3 0

3 years ago

Read 2 more answers

Jacob paid $987 for a laptop which was 60% off the original price. What was the

Ray Of Light [21]

Answer:

$2467.50

Step-by-step explanation:

987 = ( 1 - 0.6 )x

987 = 0.4x

x = 2467.5

3 0

2 years ago