Answer:
54.4
Step-by-step explanation:
Answer:
- f'(1) exists: f'(1) = -2
- f'(0) DNE
Step-by-step explanation:
<h3>a)</h3>
The function is continuous for x > 0 . The derivative is defined on that interval and is equal to ...
f'(x) = -2x . . . . . for x > 0
Then at x = 1, the derivative is ...
f'(1) = -2(1)
f'(1) = -2
__
<h3>b)</h3>
The function has a jump discontinuity at x=0, so the derivative does not exist at that point. A condition for the existence of the derivative is that the function is continuous at the point of interest.
Answer:
$400
Step-by-step explanation:
The original price of the jacket = 100%
If the jacket was reduced by 30%, then the discounted price of the jacket = 100% - 30% = 70%
Therefore, $280 = 70% of the original price.
70% = 70/100 as a ratio
Using ratios, and letting be the original price:
280/ = 70/100
Cross multiply: 280 x 100 = 70 x
28000 = 70
Divide both sides by 70: 400 =
Therefore, the original price of the jacket is $400
Alternatively, divide 280 by 70 to get the cost per 1%. Then multiply this by 100 to get the original price (100%):
(280 ÷ 70) x 100 = 400
Answer:
1 cm
Step-by-step explanation:
Since the perimeter is 4 cm and all the sides of the square have the same length, each side must be 1 cm long.
The area of that square is 1 cm x 1 cm, which is 1 cm2.