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Alex
3 years ago
8

How do i solve -4(9-7x)-(1-x)=4(x-6)

Mathematics
1 answer:
olga2289 [7]3 years ago
6 0

Answer:

x = 13/25

Step-by-step explanation:

- 4 (9 - 7x) - (1 - x) = 4 (x - 6)

- 36 + 28x - 1 + x = 4x - 24

28x + x - 4x = - 24 + 36 + 1

25x = 13

x = 13/25

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3 years ago
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.


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