Using the profit concept, we have that:
- The expression is: P(x) = -0.5x² + 40x - 300.
- A profit of $300 is found with x = 20 and x = 60.
<h3>What is the profit concept?</h3>
Profit is given by <u>revenue subtracted by costs</u>.
In this problem, we have that:
- The revenue is: R(x) = 90x - 0.5x².
- The costs are: C(x) = 50x + 300.
Hence the expression for the profit is given as follows:
P(x) = R(x) - C(x)
P(x) = 90x - 0.5x² - 50x - 300
P(x) = -0.5x² + 40x - 300.
A profit of $300 is found when P(x) = 300, hence:
300 = -0.5x² + 40x - 300
0.5x² - 40x + 600 = 0.
x² - 80x + 1200 = 0.
(x - 60)(x - 20) = 0.
Hence the values are:
More can be learned about the profit concept at brainly.com/question/4001746
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Answer: Neither
Step-by-step explanation:
It is not an angle of the quadrilateral, so it is not an interior angle.
It does not form a linear pair with any interior angle of the quadrilateral, so it is not an exterior angle.
Answer:
Angle T is congruent to Angle Z
Step-by-step explanation:
Since the 2 triangles are equal, that means that each pair of angles are also congruent. To know which angles are congruent, you check th order of how the triangles are named. Ex. Angle Q is congruent to Angle A, Angle P is congruent to Angle R, and Angle T is congruent to Angle Z.
Since O is circumscribed about quadrilateral DEFG, the value of x is equal to: D. 68°.
<h3>What is a supplementary angle?</h3>
A supplementary angle can be defined as two (2) angles or arc whose sum is always equal to 180 degrees. Mathematically, a supplementary angle can be calculated as follows:
Q + R = 180°.
In Geometry, the opposite angles of any cyclic quadrilateral that is inscribed inside a circle always form a supplementary angle. Thus, we would determine the value of x by using the mathematical expression above:
x + 112° = 180°
x = 180° - 112°
x = 68°
Read more on supplementary angle here: brainly.com/question/12542846
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Wow ! If I understand what's go0ing on here, then
we have to be careful, and THINK .
I was going to ask you "What does Ф mean ?", and then I realized,
Ф is a new operation that the teacher invented.
The first line on the board is the definition of Ф .
Ф means "<u>Add the two numbers and subtract 4</u>."
Now you have to use this new invention to find the value
of the second line:
Take care of the stuff inside the parentheses first: ( 4 Ф 2 )
<u>Add the two numbers and subtract 4
</u>4 + 2 - 4 = <u>2</u><u>
</u>That's the part inside the parentheses. It's <span><u>2</u> .</span><u>
</u>NOW, we have to do the new operation with the 2 inside,
and the 3 that's outside the parentheses:<u>
</u>3 Ф 2
<u>Add the two numbers and subtract 4</u>
3 + 2 - 4 =<u> 1</u>
And that's the final value of 3 Ф (4 Ф 2) . It's <u>1</u> .
Pretty sneaky.
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