What is the value of the rational expression below when x is equal to 3? 12-x/x-6

Mathematics

2 answers:

Igoryamba3 years ago

5 0

Answer:

<h2>The rational expression is equivalent to -3 when x is equal to 3.</h2>

Step-by-step explanation:

The rational expression is

$\frac{12-x}{x-6}$

For $x=3$ , we have

$\frac{12-3}{3-6}=\frac{9}{-3}=-3$

Therefore, the rational expression is equivalent to -3 when x is equal to 3.

natta225 [31]3 years ago

4 0

If you do 12-3 divided by 3-6 it equal 5 so 5 would be the awnser

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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.