Given the lengths of two sides of a triangle, find the range for the length of the third side. (Range means find between which t
1 answer:
Answer:
Step-by-step explanation:
Given
Sides: 11.5 and 23.6
Required
Determine the range of the third side
Let the third side with Y
<em>Two of the following conditions must be satisfied to calculate the range of the third side</em>
<em></em>
We'll solve one after other
1.
2.
3.
Inequalities with negative can't be used' So, we have
and
Rewrite inequality
and
Combine inequality
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Answer:
A. No solution
Step-by-step explanation:
The given equation is 4(2 x + 9) = 4(2 x +6)
We divide through by 4 to get:
2 x + 9 = 2 x +6
We now group similar terms to obtain:
This final statement is false.
Therefore the given equation has no solution.
Given:
The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation
To find:
The maximum amount of profit the company can make, to the nearest dollar.
Solution:
If a quadratic equation is , then the vertex is
If a>0, then vertex is the minimum point and if a<0, then the vertex is the maximum point.
We have,
Here, . Clearly, a<0. So, the vertex is the point of maxima.
Putting x=23.931 in the given equation, we get
The vertex is at (23.931,6568.138).
Therefore, the maximum profit is $6568.138 when x=23.931.