C. x³-4x²-16x+24.
In order to solve this problem we have to use the product of the polynomials where each monomial of the first polynomial is multiplied by all the monomials that form the second polynomial. Afterwards, the similar monomials are added or subtracted.
Multiply the polynomials (x-6)(x²+2x-4)
Multiply eac monomial of the first polynomial by all the monimials of the second polynomial:
(x)(x²)+x(2x)-(x)(4) - (6)(x²) - (6)(2x) - (6)(-4)
x³+2x²-4x -6x²-12x+24
Ordering the similar monomials:
x³+(2x²-6x²)+(-4x - 12x)+24
Getting as result:
x³-4x²-16x+24
Maria started with 37 boxes.
Given:
7 boxes bought
half of the boxes were destroyed in the fire.
22 boxes left
Find the beginning number of boxes.
Let x be the beginning number of boxes.
(x + 7)/2 = 22
2((x+7)/2) = 2(22)
x + 7 = 44
x = 44 - 7
x = 37
To check:
x + 7 = 37 + 7 = 44
44 * 1/2 = 22
22 = 22
Answer:
Option 1: {-7,5,18,24,32}
Step-by-step explanation:
Observing the number line we can see that the solution is
x≤18 and x>22
So we will check the options one by one
For {-7,5,18,24,32}
The number set satisfies the solution translated from the number line.
For {-9,7,15,22,26}
As this number set includes 22 which is not included in the solution so this option is not correct.
For {16,17,22,23,24}
This number set also includes 22 so the option is not correct.
For {18,19,20,21,22}
This number set includes 19,20,21,22 which is not a part of the solution. Therefore, this option is also not correct ..
<em>So</em><em> </em><em>the</em><em> </em><em>right</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>4</em><em>2</em><em>.</em><em>5</em>
<em>look</em><em> </em><em>at</em><em> </em><em>the</em><em> </em><em>attached</em><em> </em><em>picture</em>
<em>Hope</em><em> </em><em>it</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>you</em>
<em>Good</em><em> </em><em>luck</em><em> </em><em>on</em><em> </em><em>your</em><em> </em><em>assignment</em>
3 boys + 8 girls = 11 students
3 boys/ 11 students = x boys /33 students
using cross products
3 * 33 = x*11
divide by 11
99/11 = x
x=9
There are 9 boys