2x - 4y + 3x² + 7y - 16x
3x² + 2x - 16x - 4y + 7y
3x² - 14x + 3y
the answer is D.
Answer:
The maximun height that the rocket will reach is 3150 ft.
Step-by-step explanation:
This problem requieres that we maximize the function. For this we need the function to be of the form:
We already have that covered, as the height of the rocket is represented by:
We start calculating the derivative of h(t), wich is:
We need to remember that the derivative of a function represents the slope of said function at a given point. The maximum value of the function will have a slope equal to zero.
So we find the value in wich the derivative equals zero:
This means that 15 seconds is the time at wich the rocket will reach it's maximum height.
We replace this value in the original equation to solve the problem:
With this we can conclude that the maximum height the rocket will reach is 3150 ft.
For this case, the first thing we must do is define a variable.
We have then:
x: number of pounds of turkey
We write now the inequality that models the problem.
We know that:
1) a roll costs $ 0.75 and turkey costs $ 1.75 a pound
2) The sandwich costs up to $ 6.00
Therefore, the inequality is given by:
Clearing the value of x we have:
Answer:
An inequality that shows how much turkey can be ordered on a roll for a sandwich to cost up to $ 6.00 is:
$36.12 is the better deal. The reason why is because if you divide $17.59 by 4 and then divide $36.12 by 9, you will find that the cost per shirt is cheaper for option two. Also if you multiply $17.59 by 2 you will find that for eight shirts it's $35.18, so just for a dollar more you get one more.