Answer:
cm
Step-by-step explanation:
The volume of the box is:
V = height * length * width
V = x*(66 - 2*x)*(90 - 2*x)
V = (66*x - 2*x^2)*(90 - 2*x)
V = 5940*x - 132*x^2 - 180*x^2 + 4*x^3
V = 4*x^3 - 312*x^2 + 5940*x
where x is the length of the sides of the squares, in cm.
The mathematical problem is :
Maximize: V = 4*x^3 - 312*x^2 + 5940*x
subject to:
x > 0
2*x < 66 <=> x < 33
In the maximum, the first derivative of V, dV/dx, is equal to zero
dV/dx = 12*x^2 - 624*x + 5940
From quadratic formula
But 
, then is not the correct answer.
Equation 1 ==> y = -4x + 2
Equation 2 ==> y = x - 3
Substitude equation 2 into 1
x - 3 = -4x + 2
-5 = -5x
x = 1
Substitude x into equation 2
y = 1 - 3
y = -2
Coordinates is (1, -2)
Answer is D.
Answer:
- 5 times
- $22.75
Step-by-step explanation:
1. Let n represent the number of times you can ride. To keep the cost within your budget, you must have ...
2.75n ≤ 15.00
n ≤ 5.45
You can ride 5 times. You don't have enough money to ride 6 times.
__
2. You can choose the correct answer using estimation of the costs. (You only need to work out the numbers in detail if an estimate doesn't get you close enough.)
3 all-day passes are a little more than $20 each, so cost a little more than $60.
2 rides on the Mountain Coaster are another $9, so your total cost will exceed $69. That means you will get less than $31 in change from $100. The only answer choice in that range is $22.75.
If you add up the costs of the passes and rides, you find they come to $77.25, so your change from $100 will be $22.75.
Answer:
a function, it passes the vertical line test
Step-by-step explanation:
In this question, some of the data is missing so its a complete question and the solution can be defined as follows:
By given question, calculating equations are:
Putting the equation (c) value in the equation (a) to calculate value:
Putting equation (c) and (d) value into equation (b):
Putting m value into equation (c) and equation (d) to calculate its value:
Calculating the s value:
Calculating the r value:
So, the final value of "m, s, and r" are "900, 1800, and 5800".
Learn more:
brainly.com/question/2929577
