Which of the binomials below is a factor of this trinomial ? X^2 -13+42
1 answer:
In this case we have the following trinomial:
By definition, the factorization is a technique that consists in the mathematical decomposition of an expression, in the form of a product. Having said that, we can factor the given trinomial in the following way:
We look for two numbers that when multiplied give as result 42, and when summed give as result -13.
The numbers that meet these two conditions are -6 and -7 by:
So, we have:
Answer:
The binomials associated with the given trinomial are and
.
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Answer:
The exponential Function is .
Farmer will have 200 sheep after <u>15 years</u>.
Step-by-step explanation:
Given:
Number of sheep bought = 20
Annual Rate of increase in sheep = 60%
We need to find that after how many years the farmer will have 200 sheep.
Let the number of years be 'h'
First we will find the Number of sheep increase in 1 year.
Number of sheep increase in 1 year is equal to Annual Rate of increase in sheep multiplied by Number of sheep bought and then divide by 100.
framing in equation form we get;
Number of sheep increase in 1 year =
Now we know that the number of years farmer will have 200 sheep can be calculated by Number of sheep bought plus Number of sheep increase in 1 year multiplied by number of years is equal to 200.
Framing in equation form we get;
The exponential Function is .
Subtracting both side by 20 using subtraction property we get;
Now Dividing both side by 12 using Division property we get;
Hence Farmer will have 200 sheep after <u>15 years</u>.