We can set up an equation: x * (x + 5) = 564, where x is the length of the rectangle we are trying to solve. Using the quadratic formula to solve this, we eventually come up with approximately 21.38 as a value for x. We can verify this by typing 21.38 * (21.38 + 5) into a calculator and seeing that it approximately equals 564.
Answer:
Height: 3/2 inches
Length: 12 inches
Width: 4 inches
Step-by-step explanation:
Let x is the side length of the square
The height of the box by cutting squares off :x
- The new length of the cardboard = 15 -2x (because we cut from 4 corners)
- The new width of the cardboard = 7 -2x (because we cut from 4 corners)
The new volume of it is:
V = (15 -2x) (7 -2x) x
<=> V = 
To maximum volume, we use the first derivative of the volume
<=> 
<=> 
<=> 2x -3 = 0 or 6x -35 = 0
<=> x = 3/2 or x = 35/6
To determine which value of x gives a maximum, we evaluate
= 24x -88
= 24(3/2) -88 = -52
= 24(35/6) -88 = 52
We choose x = 3/2 to have the maximum volume because the value of x that gives a negative value is maximum.
So the dimensions (in inches) of the box is:
Height: 3/2 inches
Length: 15-2(3/2) = 12 inches
Width: 7 - 2(3/2) = 4 inches
A- 1gb=3$ 30$+(3*gb used)= total
B- 30$+(3*10)= 60$
Answer:
Step-by-step explanation: when you first open the graphing tool you have to click relationship and choose custom. put in gwen’s equations (y=100+10x) then go to relationship and choose custom again and put in tristan’s equation (y=12.5)
also click on the settings button at the bottom of the graph and put the x axis to -100 min and 100 max and for y axis put -1000 min and 1000 max or you could choose your own numbers but thats just what i put
The total number of pencils is 2,160. When estimating to the nearest hundredth one gets 2,200, which is an underestimate.
The advantage of underestimating is that your answer is more accurate than an overestimate.
