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arlik [135]
3 years ago
7

If someone could help me out with this, I would greatly appreciate it!!

Mathematics
1 answer:
kati45 [8]3 years ago
7 0

We are given that revenue of Tacos is given by the mathematical expression -7x^{2}+32x+240.

(A) The constant term in this revenue function is 240 and it represents the revenue when price per Taco is $4. That is, 240 dollars is the revenue without making any incremental increase in the price.

(B) Let us factor the given revenue expression.

-7x^{2}+32x+240=-7x^{2}+60x-28x+240\\-7x^{2}+32x+240=x(-7x+60)+4(-7x+60)\\-7x^{2}+32x+240=(-7x+60)(x+4)\\

Therefore, correct option for part (B) is the third option.

(C) The factor (-7x+60) represents the number of Tacos sold per day after increasing the price x times. Factor (4+x) represents the new price after making x increments of 1 dollar.

(D) Writing the polynomial in factored form gives us the expression for new price as well as the expression for number of Tacos sold per day after making x increments of 1 dollar to the price.

(E) The table is attached.

Since revenue is maximum when price is 6 dollars. Therefore, optimal price is 6 dollars.


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HELP!!!!!!!!!!!!!!!!!!!!!!!!!! Can U Answer All These.
mash [69]

<u>QUESTION 1</u>

In figure A, the area of the bigger square is 625\:units^2. This means that the length of this square is the hypotenuse of the right angle triangle formed, which is 25\:units.

The area of the two smaller squares are 576\:units^2 and 49\:units^2.


The length of these two squares form the two shorter legs of the right angle triangle, which are 24 and 7 units respectively.


Therefore we can write the equation, 576+49=625.


This implies that, 24^2+7^2=25^2


We can see that the sum of the squares of the two shorter legs equals the square of the longer side which is the hypotenuse and this what the Pythagoras theorem says.


But in fig. B,

5^2+4^2\ne 6^2


Therefore the correct answer is Fig A.


<u>QUESTION 2</u>

See diagram.

We introduce the two lines as shown in the diagram.

From Pythagoras' Theorem,

|AB|^2=|AC|^2+|BC|^2


But |AC|=|7-3|=4 units.


and

|BC|=|8-2|=6 units.

This implies that,

|AB|^2=4^2+6^2


|AB|^2=16+36


|AB|^2=52


|AB|=\sqrt{52}


|AB|=2\sqrt{13}


|AB|=7.2 to the nearest tenth.



<u>QUESTION 3</u>

The numbers 3,4 and 5 form a Pythagorean triplet because 3^2+4^2=5^2.


If these numbers represent the side lengths of a triangular fence, then the triangular fence must be a right angle triangle.

The correct answer is B

Yes,because  3^2+4^2=5^2.


<u>QUESTION 4</u>

See graph.

We want to find the image of the triangle with vertices A(-5,-4), B(-2,-4), and C(-5,-1) after a reflection in the x-axis.

The mapping for this transformation is

P(x,y)\rightarrow P'(x,-y).


We just have to negate the y-coordinates.

A(-4,-5)\rightarrow A'(-4,5).


B(-4,-1)\rightarrow B'(-4,1).


C(-5,-1)\rightarrow C'(-5,1).








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