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, ∞).
Answer:
x+y
5
Step-by-step explanation:
Pizza: $15
Chicken Fingers (Dozen): $10
5x= $75
The answer should be 15x + 10y ≤ 120
Since the pizza is x and chicken fingers is y then this should be the answer.
(I think)
Funny, this looks like a complex graph, until you realize that the numerator can be written like (x+3)(x-9).
So really, this is a straight line f(x) = x-9.
But wait, there's a catch. x≠3, because that would divide by zero. So in your straight line, you have to draw a "hole" at (3,6)
Answer: 33.3% increase, pretty sure
Step-by-step explanation: Big number- Small number, and then divided by the first number: 44-33=11. 11 divided by 33 ( original) is 0.3333, and then change the decimal to a percent, which is 33.3%.
Answer:
blue truck-$82000 green truck-$90000
Step-by-step explanation:
x+8000=y
x+y=172000
