The sum is 4x³ + 3x² + 2x – 6.
Solution:
The correct question is given below.
(4x³ – 2x² + 3x – 1) + (5x² – x – 5). What is the sum?
<u>To find the sum of the polynomial:</u>
Sum of (4x³ – 2x² + 3x – 1) and (5x² – x – 5)
= (4x³ – 2x² + 3x – 1) + (5x² – x – 5)
Remove the parentheses.
= 4x³ – 2x² + 3x – 1 + 5x² – x – 5
Group like terms together.
= 4x³ – 2x² + 5x² + 3x – x – 1 – 5
Add the similar elements. i.e the element with same power.
= 4x³ + 3x² + 2x – 1 – 5
Subtract the constant terms.
= 4x³ + 3x² + 2x – 6
The sum is 4x³ + 3x² + 2x – 6.
Answer
IS 2/4
Step-by-step explanation:
1/3 = 4/12 1/4 = 3/12 4/12+3/12= 6/12 = 2/4
Answer:
well angle d equals 107 so the difference would be 62
Step-by-step explanation:
Answer:
In the two different ways we have solved the given equation as ![x=\frac{1}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B2%7D)
Step-by-step explanation:
Given expression is ![\frac{2}{3}(3x+6)=4x+3](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%283x%2B6%29%3D4x%2B3)
To simplify the given expression in two ways:
First way:
Given ![\frac{2}{3}(3x+6)=4x+3](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%283x%2B6%29%3D4x%2B3)
![\frac{2}{3}(3x+6)=4x+3](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%283x%2B6%29%3D4x%2B3)
![\frac{6x+12}{3}=4x+3](https://tex.z-dn.net/?f=%5Cfrac%7B6x%2B12%7D%7B3%7D%3D4x%2B3)
Multiplying 3 on both sides
![3\times (\frac{6x+12}{3})=3\times (4x+3)](https://tex.z-dn.net/?f=3%5Ctimes%20%28%5Cfrac%7B6x%2B12%7D%7B3%7D%29%3D3%5Ctimes%20%284x%2B3%29)
![6x+12=12x+9](https://tex.z-dn.net/?f=6x%2B12%3D12x%2B9)
(adding the like terms)
![-6x+3=0](https://tex.z-dn.net/?f=-6x%2B3%3D0)
![3(-2x+1)=0](https://tex.z-dn.net/?f=3%28-2x%2B1%29%3D0)
Dividing by 3 on both sides
![3(-2x+1)\times \frac{1}3}=0\times \frac{1}3}](https://tex.z-dn.net/?f=3%28-2x%2B1%29%5Ctimes%20%5Cfrac%7B1%7D3%7D%3D0%5Ctimes%20%5Cfrac%7B1%7D3%7D)
![(-2x+1)=0](https://tex.z-dn.net/?f=%28-2x%2B1%29%3D0)
![-(2x-1)=0](https://tex.z-dn.net/?f=-%282x-1%29%3D0)
![2x-1=0](https://tex.z-dn.net/?f=2x-1%3D0)
![x=\frac{1}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B2%7D)
Therefore the given expression is solved that ![x=\frac{1}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B2%7D)
Another way:
Given ![\frac{2}{3}(3x+6)=4x+3](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%283x%2B6%29%3D4x%2B3)
![\frac{2}{3}(3x+6)=4x+3](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%283x%2B6%29%3D4x%2B3)
![2(\frac{3x}{3}+\frac{6}{3})=4x+3](https://tex.z-dn.net/?f=2%28%5Cfrac%7B3x%7D%7B3%7D%2B%5Cfrac%7B6%7D%7B3%7D%29%3D4x%2B3)
![2(x+2)=4x+3](https://tex.z-dn.net/?f=2%28x%2B2%29%3D4x%2B3)
![2x+4=4x+3](https://tex.z-dn.net/?f=2x%2B4%3D4x%2B3)
(adding the like terms)
![2x-1=0](https://tex.z-dn.net/?f=2x-1%3D0)
![x=\frac{1}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B2%7D)
Therefore the given expression is solved that ![x=\frac{1}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B2%7D)
In the two different ways we have solved the given equation as ![x=\frac{1}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B2%7D)
Answer:
Concept: Mathematical Modeling
- 163 donuts for 60
- She mad 55 in profit: 55/163= .33 per donut
- P(n)= 163(n)
- Note: You didn't provide the options