I NEED HELPPPP 2( 2.5 - | -6|) need the answer ASAPPPPP

Mathematics

1 answer:

Sloan [31]1 year ago

4 0

The equivalent value of the expression is -7

<h3>Modulus of a function</h3>

The modulus of an expression of value is equal to the positive of such function or value.

Given the expression

2(2.5 - |-6|)

Since the value of -6 is a modulus, the expression will become;

2(2.5 - |-6|) = 2(2.5) - 2(6)

2(2.5 - |-6|) = 5 - 12

2(2.5 - |-6|) = -7

Hence the equivalent value of the expression is -7

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

kati45 [8]

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.