10 – (8p + 3) = 9(2p - 5)
2 answers:
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Answer:
0 ≤ x < 1.12 and 34.18 < x ≤ 39.87
Step-by-step explanation:
Let
x ----> is the number of tires produced, in thousands
C(x) ---> the production cost, in thousands of dollars
we have
This is a vertical parabola open downward (the leading coefficient is negative)
The vertex represent a maximum
The graph in the attached figure
we know that
Looking at the graph
For the interval [0,1.12) ----->
The value of C(x) ---->
That means ----> The production cost is under $75,000
For the interval (34.18,39.87] ----->
The value of C(x) ---->
That means ----> The production cost is under $75,000
Remember that the variable x (number of tires) cannot be a negative number
therefore
If the company wants to keep its production costs under $75,000 a reasonable domain for the constraint x is
0 ≤ x < 1.12 and 34.18 < x ≤ 39.87
Answer:
Step-by-step explanation:
Observe the picture attached.
Find the value of "x" and "y" using the Pythagoren Theorem:
If you solve for "a":
Where "a" is the hypotenuse and "b" and "c" are the legs.
In this case, for "x" you know that:
Then, the value of "x" is:
For "y" you can see that:
Subsituting values and solving for h, you get:
