Answer: d
The two smallest sides have to add up to the largest one
Answer:
B. SUBTRACTION PROPERTY OF EQUALITY
Step-by-step explanation:
Answer:
The answers are in solutions.
Step-by-step explanation:
- Four businessmen invested a sum of Rs. 250,000 in the ratio of 3:5:7:10 to start a new business.
(i) The amount invested by each businessman is;
<u>1^st businessman invested:</u>
<u />
Rs. 30,000
<u>2^nd businessman invested:</u>
<u />
<u />
= Rs. 50,000
<u>3^rd businessman invested:</u>
<u />
<u />
= Rs. 70,000
<u>4^th businessman invested:</u>
<u />
= Rs. 100,000
- If they gained Rs. 50,000
(ii) The profit each one of them got is;
<u>1^st businessman got:</u>
<u />
<u />
= Rs. 6,000
<u>2^nd businessman got:</u>
<u />
<u />
= Rs. 10,000
<u>3^rd businessman got:</u>
<u />
<u />
= Rs. 14,000
<u>4^th businessman got:</u>
= Rs. 20,000
Answer:
The antiderivative is
.
Step-by-step explanation:
Antiderivative F(x)
This is the integral of ![F^{\prime}(x)](https://tex.z-dn.net/?f=F%5E%7B%5Cprime%7D%28x%29)
So
F′(x) = f(x) = 6 + 24x^3 + 18x^5
Then:
![F(x) = \int (6 + 24x^3 + 18x^5) dx](https://tex.z-dn.net/?f=F%28x%29%20%3D%20%5Cint%20%286%20%2B%2024x%5E3%20%2B%2018x%5E5%29%20dx)
![F(x) = 6x + \frac{24x^4}{4} + \frac{18x^6}{6} + K](https://tex.z-dn.net/?f=F%28x%29%20%3D%206x%20%2B%20%5Cfrac%7B24x%5E4%7D%7B4%7D%20%2B%20%5Cfrac%7B18x%5E6%7D%7B6%7D%20%2B%20K)
![F(x) = 6x + 6x^4 + 3x^6 + K](https://tex.z-dn.net/?f=F%28x%29%20%3D%206x%20%2B%206x%5E4%20%2B%203x%5E6%20%2B%20K)
F(1)=0
when
. We use this to find K.
![F(x) = 6x + 6x^4 + 3x^6 + K](https://tex.z-dn.net/?f=F%28x%29%20%3D%206x%20%2B%206x%5E4%20%2B%203x%5E6%20%2B%20K)
![0 = 6 + 6 + 3 + K](https://tex.z-dn.net/?f=0%20%3D%206%20%2B%206%20%2B%203%20%2B%20K)
![K = -15](https://tex.z-dn.net/?f=K%20%3D%20-15)
Thus
The antiderivative is
.