With 
defined by
in order for it to be continuous at 
, we require
(i) If 
and 
, then 
and
The limits don't match, so is not continuous at 
under these conditions.
(ii) To establish continuity at , we'd need the limit as 
from the right to be equal to the limit from the left, or
(iii) We have 
and
For to be continuous at 
, then, we'd need to have
(iv) Taking both requirements from parts (ii) and (iii), we solve for 
:
I've attached a plot that confirms this is correct.
Answer:
$305
Step-by-step explanation:
4 tickets = $122 <-- divide by 4
1 ticket = $30.5 <-- multiply by 10
10 tickets = $305
Answer:
cot (X) = 5/12
Step-by-step explanation:
tan (X) = opp/adj so cot (X) is adj/opp
Answer:
x = 0, x = - 3
Step-by-step explanation:
Given
5x² - 7x = 4x² - 10 ← subtract 4x² - 10x from both sides
x² + 3x = 0 ← in standard form
Factor out x from each term
x(x + 3) = 0
Equate each factor to zero and solve for x
x = 0
x + 3 = 0 ⇒ x = - 3
<span>Dayson has 1 m2 of wrapping paper, which is 10000 cm2:
1 m = 100 cm
1 m^2 = (100 cm)^2
</span>1 m^2 = 10000 cm^2
<span>The package has a surface area of cm2:
A = 2*(50*20) + </span>2*(50*18) + 2*(18*20)
A = <span>
<span>4520 cm^2
</span></span>The area of the package is less than the area of the wrapping paper (4520 cm^2 < 10000 cm^2<span>). So, Dayson cover the package with the wrapping paper.</span>
