Answer:
$880, $990 & debit card
Step-by-step explanation:
Credit:
-920 + 1800
$880
Debit:
$990
the debit card
Answer:
C. -1/2
Step-by-step explanation:
7π/6 radians is equivalent to (7π/6)(180°/π) = 210°, a 3rd-quadrant angle whose reference angle is 30°. The sine of angles in the 3rd quadrant is negative.
sin(30°) = 1/2
sin(210°) = -sin(30°) = -1/2
_____
In radians mode, your calculator can tell you this result directly.
Answer:
⅔ √(x + 1) (x − 2) + C
Step-by-step explanation:
∫ x / √(x + 1) dx
Add and subtract 1 to the numerator.
∫ (x + 1 − 1) / √(x + 1) dx
Split the fraction.
∫ [ (x + 1) / √(x + 1) − 1 / √(x + 1) ] dx
∫ [ √(x + 1) − 1 / √(x + 1) ] dx
Rewrite with exponents.
∫ [ (x + 1)^½ − (x + 1)^-½ ] dx
Use u-substitution.
u = x + 1, du = dx
∫ (u^½ − u^-½) du
Integrate using power rule.
⅔ u^(3/2) − 2 u^½ + C
Factor.
u^½ (⅔ u − 2) + C
⅓ u^½ (2 u − 6) + C
Substitute back.
⅓ (x + 1)^½ (2 (x + 1) − 6) + C
Simplify.
⅓ √(x + 1) (2x + 2 − 6) + C
⅓ √(x + 1) (2x − 4) + C
⅔ √(x + 1) (x − 2) + C
A basket of 12 for $8.95 is better. Here's why:
When you have 12 geraniums, and you're buying them for $8.95, you'll want to know the unit price of each geranium. This means you'll want to know how much one geranium costs. Divide 8.95/12 and you will get about 0.75 - this means that each geranium costs $0.75. The cost of 8 geraniums for $6.95 is about $0.86 per geranium. The lower number is always the better deal.