Diego's bank granted him
1 answer:
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Answer:
Step-by-step explanation:
Length = x
width = x - 7
height = x - 10
volume = 600 in^3
Volume = L * w * h
600 = x * (x - 7)*(x - 10)
600 = x * (x^2 - 17x + 70)
600 = x^3 - 17x^2 + 70x
x^3 - 17x^2 + 70x - 600 = 0
There is a genius somewhere that could solve this using algebra. The rest of us have 2 choices. We can graph it (see below) or we could use a program that solves it for us. I'll do both for you.
a = 1
b = - 17
c = 70
d = - 600
There is only 1 real solution: x = 15
L = 15
w = 8
h = 5
That has to be one of the ugliest graphs made. It does into the hundreds of thousands and it still looks like a straight line. Trust me. It's not.
f(x) =
In this exponential function , the base is
if base is less than 1 then it a decreasing function
We can verify it using a table
We plug in some x and values and find out f(x) to get point for the graph
x -----> f(x)
-1 -----> 2
0 ------> 1
1 -------> 0.5
The table is same as the points in first graph.
So first graph represents the graph of f(x) =
