2/5 + 1/2
4+5 / 10 • look for the LCD of 5 and 2
which is 10 then 5 goes 2
times into 10 the multiply by 2
= 4. Then 2 goes 5 times into
10 then multiply by 1 = 5.
Therefore the sum of 2/5 + 1/2 =9/10
Given
- f(n) values for n=1,2,3,4
- possible candidates for the function
Solution:
Method: Evaluate some of the values, for each function. A function with ANY value not matching the given f(n) values will be rejected.
N=1, f(n)=4
f(1)=4-3(1-1)=4
f(1)=4+3^(1+1)=4+3^2=4+9=13 ≠ 4 [rejected]
f(1)=4(3^(n-1))=4(3^0)=4
f(1)=3(4^(n-1))=3(4^0)=3*1=3 [rejected]
N=2, f(n)=12
f(1)=4-3(2-1)=4-3(1)=1 ≠ 12 [rejected]
[rejected]
f(1)=4(3^(2-1)=4*3^1=4*3=12
[rejected]
Will need to check one more to be sure
N=3, f(n)=3
[rejected]
[rejected]
f(3)=4(3^(n-1))=4(3^(3-1))=4(3^2)=4*9=36 [Good]
[rejected]
Solution: f(n)=4(3^(n-1))
Solving the inequality given algebraically, the solution of the inequality for the value of m is:
<u>m < -4 OR m > 3</u>
<em><u>Given the following </u></em><em><u>inequality</u></em><em><u>,</u></em>
<em><u /></em>
or
4m + 3 > 15
Let's solve algebraically for the value of m in both inequality statements given.



Or
4m + 3 > 15
- Subtract 3 from each side
4m + 3 - 3 > 15 - 3
4m > 12

m > 3
Therefore, solving the inequality given algebraically, the solution of the inequality for the value of m is:
<u>m < -4 OR m > 3</u>
<u></u>
<u></u>
Learn more here:
brainly.com/question/24434501
Answer:
Yes :)
Step-by-step explanation: