check the picture below.
notice, a function that is decreasing, namely have a negative slope, doesn't have to be negative.
What expression represents the area of the triangle?
2 answers:
<h2>Answer:</h2>
Option first is the answer.
Step-by-step explanation:
For finding the are of a right angle triangle, we use the base and the height of the triangle. The height is the right angle leg of the triangle. Hypotenuse is not considered here.
In the given diagram, the base or 'b' is = 10 units
And the height or 'h' is = 24 units
Area of a right triangle is given as :
So, in the given options the correct option is : Option first.
or
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The right answer is C
Let me to explain. From the graph we know that the vertex of this parabola is . This is a<em> maximum y-value.</em> We also know that the parabola <em>opens downward, </em>so the leading coefficient is negative. Given that the function is even and the leading coefficient is negative, it follows that the graph falls to the left and right. In a mathematical language this is:
<em> </em>
Answer:
<em>50 Chef's salads and 50 Caesar salads should be prepared in order to maximize profit.</em>
Step-by-step explanation:
Suppose, the number of Chef's salad is and the number of Caesar salad is
On a typical weekday, it sells between 40 and 60 Chefs salads and between 35 and 50 Caesar salads.
So, the two constraints are: and
The total number sold has never exceed 100 salads. So, another constraint will be:
According to the graph of the constraints, the vertices of the common shaded region are: and
<em>(Refer to the attached image for the graph)</em>
The lunch stand makes a $.75 profit on each Chef's salad and $1.20 profit on each Caesar salad. So, the profit function will be:
For (40, 35) ,
For (60, 35) ,
For (60, 40) ,
For (50, 50) , <u><em>(Maximum)</em></u>
For (40, 50) ,
Profit will be maximum when and
Thus, 50 Chef's salads and 50 Caesar salads should be prepared in order to maximize profit.
