Answer:
midpoint shows in one place while bisector covers most area
Answer:
(x+3)(x-2)(2x)(x+2)
Step-by-step explanation:
First, start by factoring (x²+x-6).
Find 2 numbers that multiply to -6 and add to get 1. This will be 3 and -2.
So, (x²+x-6) will factor into (x+3)(x-2)
Then, factor (2x²+4x).
You can factor out 2x because both terms can be divided by that.
You will be left with 2x(x+2), which cannot be factored anymore.
Combine all the factors to get (x+3)(x-2)(2x)(x+2).
To solve this, it is helpful to set up an equation that reductions and additions of the games. The equation would be:
27 = 1/2v + 3
In this equation, v = the original number of video games. The 1/2 signifies Casey selling his games, and the + 3 shows Casey buying three more.
If we subtract 3 from both sides, we see that 1/2v = 24. Finally, we can multiply each side by 2 to isolate the variable, v, and we get v = 48.
Therefore our final answer is 48 video games.
Hope this is helpful!
The exact length of the curve given the following system of inequalities is ≈ 1637.
<h3>What is a system of inequalities?</h3>
A system of inequalities refers to a set of two or more inequalities with one or more variables. This kind of system is used when a problem needs a range of solutions a there is over one constraint.
<h3>What is the length of the curve with the above system of inequalities?</h3>
Step One - Let's restate the equations
We have:
x = 5 + 9t²
y = 4 + 6t³
Where
0 ≤ t ≤ 3
Step 2 - Differentiate them
The first derivative of dx/dt
= d/dt [9t² + 5)
= 9 * (d/dt) (t²) + (d/dt) (5)
= 9.2t + 0
= 18t
Also differentiate (dy/dt)
= d/dt [6t² + 4]
= 6 * (d/dt) [t³] + (d/dt) [4]
= 6.3 t² + 0
= 18t²
To find the length of the arc:
L = 
We can thus deduce that:
= 
= ![\int_{0}^{4}[18t \sqrt{1 + {18t^{2} ]](https://tex.z-dn.net/?f=%5Cint_%7B0%7D%5E%7B4%7D%5B18t%20%5Csqrt%7B1%20%2B%20%7B18t%5E%7B2%7D%20%5D)
Compute the definite integral and factor out the constraints and we have:
dt = 4912/3
≈ 1,637.3
Hence the exact length of the curve is
≈ 1637
Learn more about the system of inequalities at:
brainly.com/question/9774970
#SPJ1
Answer:
What is the question. Please provide a question.