Step-by-step explanation:
5x + 2 + 3x = 8x + 2
3 + 17x + 8 = 17x + 11
19 + 6x + 2x = 8x + 19
14x + 7 + 4 = 14x + 11
9x - 3 - 7x + 4 = 2x + 1
12x + 3x - 6 - 7f = 15x - 7f - 6
14x + 7 - 3x = 11x + 7
13z + 6u + 8x + 19 - u = 13z + 5u + 8x + 19
3z + 6 + 4z + 9 + 8u = 7z + 8u + 15
2x + 8z + 13u + 6z + 4u = 2x + 14z + 17u
14y + 13x + 12y + 19x + 4 = 26y + 32x + 4
5x + 18 - 13y + 12x + 8y = 17x - 5y + 18
21v + 8 - 12v - 7 + 3t - t = 9v + 2t + 1
3t + v - t + 7v = 2t + 8v
-1 + 18x -3y + x + 9y = 19x + 6y - 1
4x + 5y + 5x + 10y = 9x + 15y
Answer:
C
Step-by-step explanation:
Step-by-step explanation:
The volume of a cylinder = πr²h
= 33 cubic inches
The volume of a cone = ¹/3 πr²h
If the cylinder and come share the same radius and height then ‘πr²h’ part of the formulas is the same for both;
It means the difference in proportionality is ¹/3 (because even π is the same across board). The volume of the cone is therefore;
¹/3 (33)
= 11
= 11 cubic inches
Hope this helps!
Answer:

Step-by-step explanation:
The logistic differential equation is as follows:

In this problem, we have that:
, which is the carring capacity of the population, that is, the maximum number of people allowed on the beach.
At 10 A.M., the number of people on the beach is 200 and is increasing at the rate of 400 per hour.
This means that
when
. With this, we can find r, that is, the growth rate,
So




So the differential equation is:


The proposal for the price for a number of shirts given by the four companies can be analyzed graphically, given that each price list gives a straight line, and the result presented using a piecewise function approach as follows:

<h3>What is a piecewise function?</h3>
A piecewise defined function is one that has other sub functions which are applied over different intervals of the domain.
The given table of values and equation are plotted on a graph using MS Excel
From the graph, and the table created, we have:
When the number of shirts on order is less than 40, the least expensive is Easy Calculation shirts
When the number of shirts are more than 40 but less than 80, the least expensive proposal is given by Shirtee
When the number of shirts to be ordered is more than 80, the company that gives the least expensive proposal is T-Shirts R Us
The selection table is presented as follows:

Learn more about piecewise defined functions here:
brainly.com/question/18499561
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Answer:
c = -12
Step-by-step explanation:
Quadratic Standard Form: ax² + bx + c
Step 1: Write equation
3x² + 6x = 12
Step 2: Subtract 12 on both sides
3x² + 6x - 12 = 0
Here, we have the standard form of the quadratic. We see that our c = -12