What’s equivalent to -6 + 2x ?

Use function notation to represent how much the volume of the box (in cubic inches) changes by if the cutout length increases fr

MakcuM [25]

Answer:

Increases 64 times

Step-by-step explanation:

The volume of the box can be calculated using formula

$V=l\cdot w\cdot h,$

where

V = volume,

l = length,

w = width,

h = height

If the length was 0.3 inches, then the volume was

$V_1=0.3\cdot w\cdot h=0.3wh$

When the length became 1.2 inches, then all dimensions became $1.2 :0.3 =4$ times greater, then the volume was

$V_2=1.2\cdot (4w)\cdot (4h)=19.2wh$

The volume increases

$\dfrac{V_2}{V_1}=\dfrac{1.92wh}{0.3wh}=64$ times

7 0

3 years ago

What is the value of a if a*a*a=a+a+a?

antiseptic1488 [7]

A^3=3a, a=
$a {3}^ = 3a \: \: a = \sqrt[3]{a}$

8 0

2 years ago

Read 2 more answers

Find the equation of the line with the coordinates of (-5,-2) and (5,3)

velikii [3]

Answer

x - 2y = -1.

Step-by-step explanation:

Slope = (3 - (-2)) / (5 - (-5))

= 5/10

= 1/2

Using the point-slope form of a straight line equation:

y - y1 = m(x - x1)

Here m = 1/2 and (x1, y1) = (5, 3):

y - 3 = 1/2(x - 5)

y - 3 = 1/2x - 5/2

y = 1/2x - 5/2 + 6/2

y = 1/2x + 1/2

Removing the fractions:

2y = x + 1

in standard form this is

x - 2y = -1

6 0

2 years ago

In Andrew’s Furniture Shop, he builds bookshelves and tables. Each type of furniture takes him about the same time to make. He f

olasank [31]

Given:
Cost to build a bookshelf = $20
Cost to build a table = $45
Amount available to spend = $600

Let x = number of bookshelves built.
Let y = number of tables built.

The total number of bookshelves and tables = 18.
Therefore
x + y = 18.
That is,
y = 18 - x (1)

The total amount available to build x bookshelves and y tables = $600. Therefore
20x + 45y = 600
That is (dividing through by 5),
4x + 9y = 120 (2)

Substitute (1) into (2).
4x + 9(18 - x) = 120
4x + 162 - 9x = 120
-5x = -42
x = 8.4
From (1),obtain
y = 18 - 8.4 = 9.6

Because we cannot have fractional bookshelves and tables, we shall test values of x=8, 9 and y=9,10 for profit

Note: The profit is $60 per bookshelf and $100 per table.
If x = 8, then y = 18-8 = 10.
The profit = 8*60 + 10*100 = $1480

If x = 9, then y = 18-9 = 9.
The profit = 9*60 + 9*100 = $1440

The choice of 8 bookshelves and 10 tables is more profitable.

Answer: 8 bookshelves and 10 tables.

5 0

3 years ago

Geometry PEOPLE HELP

White raven [17]

Answer: second option.

Step-by-step explanation:

Given the transformation $T:(x,y)$ → $(x-5,y+3)$

You must substitute the x-coordinate of the point A (which is $x=2$ ) and the y-coordinate of the point A (which is $y=-1$ ) into $(x-5,y+3)$ to find the x-coordinate and the y-coordinate of the image of the point A.

Therefore, you get that the image of A(2,-1) is the following:

$(x-5,y+3)=(2-5,-1+3)=(-3,2)$

You can observe that this matches with the second option.

6 0

2 years ago