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Answer:
the slope is and the y-intercept is
Step-by-step explanation:
if we can get it to form, then it's easy since the slope is and the y-intercept is
solve for
minus 2x from both sides
divide by -5 both sides
match
and
the slope is and the y-intercept is
The simplification of rational expressions is explained
<u>Solution:</u>
Rational expressions are fractions that have a polynomial in the numerator, denominator, or both.
Rational expressions contain variables, they can be simplified in the same way that numerical fractions are simplified.
<em><u>Steps to simplify rational expressions:</u></em>
Let us see it with an example:
1) Look for factors that are common to the numerator & denominator
2) 3x is a common factor to the numerator & denominator. Note that it is clear that x ≠0
3) Cancel the common factor
4) If possible, look for other factors that are common to the numerator and denominator
5) After cancelling, you are left with
6) The final simplified rational expression is valid for all values of "x" except 0 and 1
We have to follow the same procedure for any rational expression.
Answer:
j(t)=600*1.09ᵗ⁻¹
Step-by-step explanation:
In 2014, there were 600 jobs.
The next year, the number is expected to grow by 9%.
Since the growth rate is a percentage, this is an example of a geometric sequence.
The nth term of a Geometric Progression is given as:
Uₙ=arⁿ⁻¹
In the first year, population =600
r=(100+9)%=1.09
Therefore the function j(t) that gives the expected number of jobs from the year 2014 is given as:
Uₙ=arⁿ⁻¹
j(t)=600*1.09ᵗ⁻¹ where t=1,2,3...
The value of t=1 is for the year 2014.