Answer:
The answer is option (C)=an-1+7
Step-by-step explanation:
A recursive rule is a formula that in which each term is expressed as a function of its preceding term(s), meaning in order to get to the nth term you have to express it in a form of the term that comes before it. In our case the a(n-1) term
So for the sequence -9, -2, 5, 12
The nth term is any number on the sequence and
- -2 is the a(n-1) term for -9
- 5 is the a(n-1) term for -2
- 12 is the a(n-1) term for 5
So we need to find out what we have to do to the preceding term to get the next.
To get -2 from -9 we have to add 7 to -9; -9+7=-2
To get 5 from -2 we have to add 7 to -2; -2+7=5
To get 12 from 5 we add 7 to 5; 7+5=12
So the recursive rule would be= a n-1+7
Answer:
A sample of 139 should be taken.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
That is z with a pvalue of
, so Z = 1.96.
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.
Population standard deviation of $3,000.
This means that 
How large a sample should be taken if the desired margin of error is $500?
A sample of n is needed.
n is found when M = 500. So



Dividing both sides by 500



Rounding up:
A sample of 139 should be taken.
2 positive unit tiles are needed to complete the factorization.
Given
The partial factorization of x^2 – 3x – 10 is modeled with algebra tiles.
<h3>Partial factorization;</h3>
Partial fractions are the fractions used for the decomposition of a rational expression.
When an algebraic expression is split into a sum of two or more rational expressions, then each part is called a partial fraction.
In the second line, we can see that first term 1 is labeled + x squared, second is labeled +<u> </u><u>2x</u><u> (two positive </u><u>tiles </u><u>above),</u> then the 5 tiles below + x squared are labeled negative x, and the 10 tiles below the + x tiles are labeled negative.
The negative values are represented as tiles labeled below (negative tiles) while positive values are tiles labeled above (positive tiles).
Therefore,
The factorization is;

Hence, 2 positive unit tiles are needed to complete the factorization.
To know more about Partial factorization click the link given below.
brainly.com/question/2057063
<h3>I’ll teach you how to solve 5x^3 - 3x^2 - 14x</h3>
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5x^3 - 3x^2 - 14x
Factor out the common term x:
x(5x^2 - 3x 14)
Factor 5x^2 - 3x 14:
Break the expression into groups:
(5x62+7x)+(-10x-14)
Factor out x from 5x^2+7x:
x(5x+7)
Factor out -2 from -10x-14:
-2(5x+7)
x(5x+7)-2(5x+7)
Factor out the common term 5x+7:
(5x+7)(x-2)
x(x+7)(x-2)
Your Answer Is x(x+7)(x-2)
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