Hello!
To find the domain of the function h(x), we need to find the values of x where it is undefined.
We can begin by factoring the denominator of the rational function, h(x).
h(x) = 1/(3x² - 15x) (factor 3x from the binomial)
h(x) = 1/3x(x - 5)
After factoring the denominator, apply the zero product property.
3x = 0 (divide both sides by 3)
x = 0
x - 5 = 0 (add 5 to both sides)
x = 5
The values of 0 and 5 cause h(x) to be undefined. The function h(x) comes from negative infinity to zero, where there is an asymptote. Also, from zero to five, there is also an asymptote. Finally, the function h(x) also goes to infinity from five.
So therefore, the domain of the function h(x) is: (-∞, 0) ∪ (0, 5) ∪ (5, ∞).
In the sequence, the numbers are going down by -3. So the nth term must start with -3n. To get from -3 to 4 you must add 7. This makes the nth term -3n+7.
Answer:
A - They Have Too Much Caramel
Step-by-step explanation:
Ari likes 3 oz caramel for 5 scoops ice cream.
Freeze Zone makes 6 oz caramel with 8 scoops of ice cream.
Divide both amounts of Freeze Zone by 2.
6 oz caramel for 8 scoops of ice cream is the same ratio as
3 oz caramel for 4 scoops of ice cream.
Since Ari likes 3 oz caramel for 5 scoops ice cream,
he will think it's too much caramel for the ice cream.
Answer: A - They Have Too Much Caramel
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