Answer:
:)
Step-by-step explanation:
ta da, hope this is what you're looking for
Answer:
See below ~
Step-by-step explanation:
<u>Drawing the rectangle</u> (Refer attachment)
<u>Horizontal sides</u>
- There are two x-values present : 1 and 6
- Find the difference
- 6 - 1 = 5
- The horizontal sides of the rectangle are <u>5</u> units long
<u>Vertical sides</u>
- Two y-values are present : 4 and 5
- Find the difference
- 5 - 4 = 1
- The vertical sides of the rectangle are <u>1</u> unit long
<u>Perimeter</u>
- 2(Horizontal side + Vertical side)
- 2(5 + 1)
- 2(6)
- 12
- The perimeter of the rectangle is <u>12</u> units
<span>Equation at the end of step 1 :</span><span> (((x3)•y)-(((3x2•y6)•x)•y))-6y = 0
</span><span>Step 2 :</span><span>Step 3 :</span>Pulling out like terms :
<span> 3.1 </span> Pull out like factors :
<span> -3x3y7 + x3y - 6y</span> = <span> -y • (3x3y6 - x3 + 6)</span>
Trying to factor a multi variable polynomial :
<span> 3.2 </span> Factoring <span> 3x3y6 - x3 + 6</span>
Try to factor this multi-variable trinomial using trial and error<span>
</span>Factorization fails
<span>Equation at the end of step 3 :</span><span> -y • (3x3y6 - x3 + 6) = 0
</span><span>Step 4 :</span>Theory - Roots of a product :
<span> 4.1 </span> A product of several terms equals zero.<span>
</span>When a product of two or more terms equals zero, then at least one of the terms must be zero.<span>
</span>We shall now solve each term = 0 separately<span>
</span>In other words, we are going to solve as many equations as there are terms in the product<span>
</span>Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation :
<span> 4.2 </span> Solve : -y = 0<span>
</span>Multiply both sides of the equation by (-1) : y = 0
Answer:
The population will reach 34,200 in February of 2146.
Step-by-step explanation:
Population in t years after 2012 is given by:
In what month and year will the population reach 34,200?
We have to find t for which P(t) = 34200. So
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots 
such that 
, given by the following formulas:
In this question:
So 
Then
We only take the positive value.
134 years after 2012.
.14 of an year is 0.14*365 = 51.1. The 51st day of a year happens in February.
So the population will reach 34,200 in February of 2146.
Answer:
P(not E)= 0.57
Step-by-step explanation:
P(not E)= 1-0.43
P(not E)= 0.57
