The number of wild flowers in a park triples every 5 months. The following expression represents the number of wild flowers in t
1 answer:
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- Zero Product Property: if a × b = 0, then either a or b = 0 or both a and b = 0.
(Make sure to set f(x) to zero)
So for this equation, I will be factoring by grouping. Firstly, what two terms have a product of -5x^2 and a sum of 4x? That would be 5x and -x. Replace 4x with 5x - x:
Next, factor 5x^2 + 5x and -x - 1 separately. Make sure that they have the same quantity on the inside:
Now you can rewrite the equation as:
Now apply zero product property to the factors to solve for x:
<u>The x-intercepts are (1/5 ,0) and (-1,0).</u>
Answer:
The inequality to show how many hours of television Julia can still watch this week can be given as:
⇒
where represents he number of hours of television that Julia can still watch this week
On solving for , we get
Thus, Julia can still watch no more than 3.5 hours of television this week.
Step-by-step explanation:
Given:
Julia is allowed to watch television no more than 5 hours a week.
She has already watched 1.5 hours
To write and solve an inequality to show how many hours of television Julia can still watch this week.
Solution:
Let the number of hours of television that Julia can still watch this week be =
Number of hours already watched = 1.5
Total number of hours of watching television this week would be given as:
⇒
It is given that Julia is allowed to watch no more than 5 hours of television in a week.
Thus, the inequality can be given as:
⇒
Solving for
Subtracting both sides by 1.5
Thus, Julia can still watch no more than 3.5 hours of television this week.