Answer:
The width is 20 inches, the length is 32 inches and the height is 15 inches.
Step-by-step explanation:
Let x inches be the width of the box. If the length of the box is 12 inches greater than its width, then the length of the box is x+12 inches. If the height of the box is 5 inches less than its width, then the height of the box is x-5 inches.
The volume of box is
Therefore,
Solve this equation:
The integer solutions of this equation can be among the divisors of -9600. The divisors of 9600 are:
We can check all these divisors and see that x=20 is a solution, then using synthetic division
Since the quadratic factor has discriminant we can state that the only solution is x=20 inches. The width is 20 inches, the length is 32 inches and the height is 15 inches.
This is an exponential decay question use the exponential regression function in a graphing calculator to find the approximate graph.
Step-by-step explanation:
-5*b>-35
-5b>-35
which means that
-5b is greater that -35
The answer in slope intercept form is y = 6x-11
If you want the answer in standard form, then it would be 6x-y =11
notes:
* Slope intercept form is y = mx+b
* Standard form is Ax+By = C
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Explanation:
The given slope is m = 6
The line goes through (x,y) = (3,7)
Plug those three values into the equation below. Isolate b
y = mx+b
7 = 6*3+b
7 = 18+b
7-18 = 18+b-18 ... subtract 18 from both sides
-11 = b
b = -11
So because m = 6 and b = -11, this means y = mx+b turns into y = 6x-11
The answer in slope intercept form is y = 6x-11
To convert to standard form Ax+By = C, we just have to get all the x and y terms together on the same side. I'm going to move the y term to the right side and move the 11 to the left side
y = 6x-11
y+11 = 6x-11+11
y+11 = 6x
y+11-y = 6x-y
11 = 6x-y
6x-y = 11
The answer in standard form is
6x-y = 11
which is a different way to write the same line