Answer:
Step-by-step explanation:
Answer:
g(x) = (x + 2)(x − 1)(x − 2)
I picked the first one, because why not. :)
<u>End behavior.</u> This is a positive function; there are no negatives next to any of the xs. There are 3 xs, so it's a cubic; a positive cubic has a down-up end behavior.
<u>Y-intercept.</u> We can either graph this on the calculator/online or work it out algebraically. Multiply together the constants: +2 * -1 = -2, -2 * -2 = 4. So the y-intercept is at y = 4. (0,4). I've also attached the graph.
<u>Zeros / x-intercept.</u> This is really simple: set g(x) equal to 0, separate these three parenthesis (x+2) (x-1) and (x-2) into three equations by the Zero Product Property.
x+2 = 0
x = -2
x-1 = 0
x = 1
x-2 = 0
x = 2
So the function has three zeros at (-2,0) (1,0) and (2,0).
Answer:
The answer would be 0.625
<span>Q1. Emily has $100 extra to spend on supplies for her T-shirt-making business. She wants to buy ink, I, which costs $4 a bottle, and new brushes, b, which are $15 each.
Solution:
In the current situation, the total amount is $100 and the cost of an ink bottle is $4.Whereas, the cost of each brush is $15.She cannot spend more than $100.
</span>Therefore,
The equation which best describes the situation is:
4i + 15b ≤ 100
Q.<span>2 Jon owns a clothing store where he designs pairs of shorts, s, and T-shirts, t. He sells shorts for $14 and T-shirts for $6 each. Jon can work 12 hours a day, at most. It takes him 15 minutes to design a T-shirt and an hour to design a pair of shorts. He must design at least 12 items each day, but he cannot design more than 20 items in one day. Write 5 inequalities that represent the explicit and assumed constraints in the problem.
Solution:
</span>He sells shorts for $14 and T-shirts for $6 each
14s + 6t
It takes him 15 minutes to design a T-shirt and an hour to design a pair of shorts.
0.15t + 1s ≤ 12
He must design at least 12 items each day
s + t ≥ 12
he cannot design more than 20 items in one day.
s + t ≤20
