Answer:
F(x=11)= (-31)
Step-by-step explanation:
for the function
F(x) = x² - 13*x + 22/x-11 , for x ≠ 11
then in order to define F(x=11) so F is continuous (see Note below) . By definition of continuity of a function:
F(x) is continuous in x=11 if lim F(x)=F(a) when x→a
then
when x→a , lim x² - 13x + 22/x-11 = lim 11² - 13*11 + 22/11 -11 = -3*11 + 2 = -31 = F(x=11)
then
F(x=11)= (-31)
Note:
F is not continuous in all x since
when x→0⁺ , lim (0⁺) ² - 13*0⁺ + 22/0⁺ -11 = (+∞)
when x→0⁻, lim (0⁻) ² - 13*0⁻ + 22/0⁻ -11 = (-∞)
then
limit F(x) , when x→0 does not exist since the limit from the left and from the right do not converge → since the limit does not exist , the function is not continuous in x=0
Answer: 35 adult tickets and 15 student tickets were sold.
Step-by-step explanation:
Let x represent the number of adult tickets that were sold.
Let y represent the number of student tickets that were sold.
20 more adult tickets were sold and student tickets. It means that
x = y + 20
Adult tickets for the school play cost 6 dollars and student tickets cost 4 dollars. If $270 was collected, it means that
6x + 4y = 270- - - - - - - - - - - 1
Substituting x = y + 20 into equation 1, it becomes
6(y + 20) + 4y = 270
6y + 120 + 4y = 270
6y + 4y = 270 - 120
10y = 150
y = 150/10
y = 15
x = y + 20 = 15 + 20
x = 35
If that's 7344 ÷ 18 then your answer would be 408.
408 x 18 = 7344
7344 ÷ 18 = 408
Hope this helps!
