Two less than four times a number is 6
1 answer:
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Answer:
10 ounces
Step-by-step explanation:
We are given that revenue of Tacos is given by the mathematical expression .
(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.
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.
Answer:
Shortest distance from A to C = 102.9005 m.
Step-by-step explanation:
It is given that, ABCD is a rectangular park.
The length of the park is 80 m.
The breadth of the park is 50 m.
The diameter of the circle = 15 m.
We have to calculate the shortest distance from A to C across the park.
The distance AC = = 94.339 m.
As one has to pass only through the lines shown, he cannot pass through the circle.
So, we have to subtract the diameter of 15 m from AC
=> 94.339 m - 15 m = 79.339 m.
One must pass through either half of the circumference of the circle.
Since, diameter of circle = 15 m, its radius(r) = = 7.5 m.
The circumference of the circle = 2×π×r = 47.123 m.
Half of the circumference = = 23.5615 m.
Distance from A to C passing through circumference = 79.339 m + 23.5615 m = 102.9005 m.
As we have to calculate the shortest distance from A to C, one cannot pass from A to C either through B or D,
since the distance ABC or ADC = 50+80 = 130 m.
Therefore, shortest distance from A to C = 102.9005 m.