Answer:
Step-by-step explanation:
as you can see something amazing happens in 10 in this function . If you replace x with 10 you get 1/0 wich an indetermined form in Mathematics.
Now we are sure that there is a vertical asymptote in 10. Let's see identify the limit in the left of 10.
let's assign some values to x that are smaller than 10.
1. x=9
1/(9-10)= -1
a negative value
2. x=8
1/(8-10)= -1/2
a negative value
let try a reallu colse value to 10 like 9.99
1/(9.99-10)=-100
a negative value
so we can deduce that the limit is -∞
lim [1/(x-10)]=-∞
x→10-
Step-by-step explanation:
∑k=150(3k+2)
First find a1 and a50 :
a1=3(1)+2=5a20=3(50)+2=152
Then find the sum:
Sk=k(a1 + ak)2S50=50(5 + 152)2=3925
Answer:
Ix - 950°C I ≤ 250°C
Step-by-step explanation:
We are told that the temperature may vary from 700 degrees Celsius to 1200 degrees Celsius.
And that this temperature is x.
This means that the minimum value of x is 700°C while maximum of x is 1200 °C
Let's find the average of the two temperature limits given:
x_avg = (700 + 1200)/2 =
x_avg = 1900/2
x_avg = 950 °C
Now let's find the distance between the average and either maximum or minimum.
d_avg = (1200 - 700)/2
d_avg = 500/2
d_avg = 250°C.
Now absolute value equation will be in the form of;
Ix - x_avgI ≤ d_avg
Thus;
Ix - 950°C I ≤ 250°C
Answer: To find the slope of this line, you would use the fomula
y2 - y1/ x2 - x1
11 - 3 / 1 - (-1)=
8/2
4
The slope of your line would be 4
