Step-by-step explanation:
A)
The length of the box is 30 − 2x inches.
The width of the box is 30 − 2x inches.
The height of the box is x inches.
So the volume is:
V = x (30 − 2x)²
B)
V(3) = 3 (30 − 6)² = 1728
V(4) = 4 (30 − 8)² = 1936
V(5) = 5 (30 − 10)² = 2000
V(6) = 6 (30 − 12)² = 1944
V(7) = 7 (30 − 14)² = 1792
As x increases, the volume of the box increases to a maximum and then decreases.
C)
The ends of the domain occur when V = 0.
0 = x (30 − 2x)²
x = 0 or 15
So the domain is (0, 15).
Hey there!
Tom's age to Mary's is 3:4; an equivalent ratio is 15:x (x symbolizes Mary's age).
To solve for this, we need to divide our proportions. By that, I mean divide Tom's older age by his younger age. If we do so, we should get a scale factor that we can multiply Mary's younger age by.
15 / 3 = 5
This means that the scale factor of the ages is 5.
x / 4 = 5 (Solving for Mary's unknown age.)
To solve for x, multiply both sides by 4.
x/4 * 4 = x
5 * 4 = 20
x = 20
Mary's age is 20.
I hope this helps!
Fr we need the measurements to do the work bro
Box:
Length = 6 feet
Width = 5 feet
Hight = 1.2 foot
Volume of the box = LxWxH
Box volume = 6x5x1.2 = 36 cubic feet
The Box holds 36 cubic feet of sand.
While Jodi bought 20 cubic feet of sand
Which means that Jodi is short by:
36 - 20 = 16 cubic feet.
Answer:

Step-by-step explanation:
<em>The options are not given; however, the question can still be answered.</em>
Given
Direct Proportion:
In 20 minutes, y = 250 bottles
Required
Determine the graph
<em>In the first 20 minutes, y = 250</em>
<em>In the next 20 minutes, y = 250 + 250 = 500</em>
<em>In the next 20 minutes, y = 500 + 250 = 750</em>
<em />
This gives a arithmetic sequence:
250, 500, 750, ........
Next, is to determine the equation of the sequence using;

In this case;




Substitute these values in the above formula;

Open Bracket

Collect Like Terms


Hence; the graph that shows the given description is the graph with equation 