Step-by-step explanation:
Domain of a rational function is everywhere except where we set vertical asymptotes. or removable discontinues
Here, we have
First, notice we have x in both the numerator and denomiator so we have a removable discounties at x.
Since, we don't want x to be 0,
We have a removable discontinuity at x=0
Now, we have
We don't want the denomiator be zero because we can't divide by zero.
so
So our domain is
All Real Numbers except-2 and 0.
The vertical asymptors is x=-2.
To find the horinzontal asymptote, notice how the numerator and denomator have the same degree. So this mean we will have a horinzontal asymptoe of
The leading coeffixent of the numerator/ the leading coefficent of the denomiator.
So that becomes
So we have a horinzontal asymptofe of 2
Answer:
-28
Step-by-step explanation:
2(-2) is -4 and -24+-4 is -28 so yeah
Answer:
The number is 5
Step-by-step explanation:
Let x represent the number
Now let's break it down!
Sum of a number and 3 gives;
x + 3
This is then doubled to give;
2* (x + 3)
This is added to the product of 6 and the original number to give 46
Product of 6 and the original number = 6 * x
Now 2* (x + 3) is added to 6 * x to give 46
2* (x + 3) + 6*x = 46
2x + 6 + 6x = 46
8x + 6 = 46
Subtract 6 from both sides
8x + 6 - 6 = 46 - 6
8x = 40
x = 40/8
x = 5
Hence, the number is 5
Answer:
Hence, a carpenter can paint a maximum of 7 chairs.
Hence, option A is correct.
Step-by-step explanation:
A carpenter has less than 120 min. to spend painting furniture each day.
Today, he has spent 30.5 min. painting a desk.
Now he will paint x chairs, each of which takes 12.5 min.
i.e. he will take a total of 12.5x minutes in painting 'x' chairs.
Also total time spent on painting furniture each day will be equal to time spent on painting a desk and all of the chairs.
Hence,
30.5+12.5x<120 (since the total time he spends on painting is less than 120 mins.)
⇒ 12.5 x<120-30.5
⇒ 12.5 x<89.5
⇒ x<7.16 ( on dividing both side of the inequality with 12.5)
Hence, a carpenter can paint a maximum of 7 chairs.
Answer:
Acute
Step-by-step explanation:
7² + 9² ? 11²
49 + 81 ? 121
130 is greater than 121, so it is an acute triangle
