The general term for the sequence 
<h3><u>Solution:</u></h3>
Given sequence is -3, 6, -9, 12, -15
We have to find the general term of sequence
The terms in the sequence are found out by using the recursive definition:
Let us use this definition to find out the terms and check if it matches our given sequence
Thus the general term is given by
Answer:
Interval notation: 
Step-by-step explanation:
<u>First inequality:</u>
<u />
Therefore, this inequality restricts:
<u>Second inequality:</u>
Therefore, this inequality restricts:
Therefore, with both of these restrictions together, we have:
.
240 = 16x is about an equation but you can make it more complicated by adding unneeded parts for example 240 = 16x - 81 + ((15x) + 15) - (x^2 / 2) - 45 - 1.5.
Answer:
(x+y)²
Step-by-step explanation:
Given the expressions (x + y) and (x + y)².
We are to find the LCM of (x + y) and (x + y)²
Taking the factors as shown
(x+y ) || (x + y) (x + y)²
(x+y ) || 1 (x+y)
|| 1 1
Multiplying both factors to get the LCM
= (x+y)(x+y)
= (x+y)²
<em>Hence the LCM of (x + y) and (x + y)² is (x+y)²</em>
Answer:
1.) 1 1/3 or 4/3
2.) 6
3.) 8
Step-by-step explanation:
Function composition substitutes more than just values or constants. It substitutes functions inside another function. Solve each expression by starting inner most and working to outermost.
1.) f(g(0)) = 1 1/3
Let g(x)=3x+2 and f(x)= x-2/3.
Begin with g(0) = 3(0) + 2 = 2.
Substitute x = 2 into f(x).
f(2) = (2) - 2/3 = 1 1/3
2.) g(f(2)) = 6
Let g(x)=3x+2 and f(x)= x-2/3.
Begin with f(2) = 2 - 2/3 = 1 1/3.
Substitute x = 1 1/3 into g(x).
g(1 1/3) = 3( 1 1/3) + 2 = 3(4/3) + 2 = 4 + 2 = 6
3.) g(g((0))
Let g(x)=3x+2.
Begin with g(0) = 3(0) + 2 = 2.
Substitute x = 2 into g(x).
g(2) = 3(2) + 2 = 8
