Answer:
The 38th term of 459,450,441,.. will be:
Step-by-step explanation:
Given the sequence
An arithmetic sequence has a constant difference 'd' and is defined by
computing the differences of all the adjacent terms
so
The first element of the sequence is
so the nth term will be
Putting n=38 to find the 38th term
Therefore, the 38th term of 459,450,441,.. will be:
9514 1404 393
Answer:
- x ≤ 4
- x > 10
- x ≤ -7
Step-by-step explanation:
We're guessing you want to solve for x in each case. You do this in basically the same way you would solve an equation.
1. 3x +2 ≤ 14
3x ≤ 12 . . . . . subtract 2
x ≤ 4 . . . . . . . divide by 3
__
2. -5 +2x > 15
2x > 20 . . . . . . add 5
x > 10 . . . . . . . . divide by 2
__
3. -2x +4 ≥ 18
4 ≥ 18 +2x . . . . . add 2x
-14 ≥ 2x . . . . . . . subtract 18
-7 ≥ x . . . . . . . . . divide by 2
_____
<em>Additional comment</em>
The statement above that the same methods for solving apply to both equations and inequalities has an exception. The exception is that some operations reverse the order of numbers, so make the inequality symbol reverse. The usual operations we're concerned with are <em>multiplication and division by a negative number</em>: -2 < -1; 2 > 1, for example. There are other such operations, but they tend to be used more rarely for inequalities.
You will note that we avoided division by -2 in the solution of the third inequality by adding 2x to both sides, effectively giving the variable term a positive coefficient. You will notice that also changes its relation to the inequality symbol, just as if we had left the term where it was and reversed the symbol: -2x ≥ 14 ⇔ -14 ≥ 2x ⇔ x ≤ -7 ⇔ -7 ≥ x
Answer:
lkfklfkkfjfjdfklfklfklfkfdkfdkldf
Step-by-step explanation:
Function 2 has a greater y-intercept
<h3>Graphs</h3>
Graphs can be used to represent functions, equations, tables and relations
<h3>Equations</h3>
The equation of function 1 is given as:
To calculate the y-intercept, we set t to 0.
So, we have:
For the table of function 2, the y-intercept is 5.25
By comparison:
5.25 is greater than 5
Hence, function 2 has a greater y-intercept
Read more about graphs and functions at:
brainly.com/question/3939432