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<h3>Answer :</h3>
The factor of (x + y)³- (x³ + y³) is <u>3xy</u>
<h3>Step By Step Solution :</h3>
→ (x + y)³- (x³ + y³)
→ (x + y) - (x + y)(x² - xy + y²) [Using identity a³ + b³ = (a + b)(a²- ab+ b²)]
→ (x + y)(x² + y² + 2xy - x² + xy - y²)[Using identity, (a + b)² = (a² + b²+ 2ab)]
→ (x + y) (3xy)
→ 3xy
∴ Option d. 3xy is correct!
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Since the first line passes thru the origin, you can read off its slope from the coordinates of the other point (3,2): the slope is m = 2/3.
A line perpendicular to the first has slope -3/2, the negative reciprocal of 2/3.
Thus, the perpendicular line is y = (-3/2)x + b. Subbing 0 for y and 0 for x, we get b = 0. Therefore, the equation of this new line is y = (-3/2)x.
Answer:
- Unit price of a 2-liter bottle of soda:
- Unit price of a case of twelve 12 ounce cans:
- The better bargain is the case of 12 ounce cans.
Step-by-step explanation:
Let be "x" the unit price (price/ounce) of the soda in the 2-liter bottle and "y" the unit price (price/ounce) of the soda in the case of twelve 12 ounces cans.
According to the data provided in the exercise, you know that:
1. The 2-liter bottle of soda is equal to 67.6 ounces.
2. That bottle costs $1.89
Then, the unit price is:
3. There are 12 ounce cans in the case. Then the total ounces is:
4. It costs $2.99. So the unit price is:
Since:
The better bargain is the case of 12 ounce cans.
Answer: A. The value of his investment decreased by 16% during this time period.
Step-by-step explanation:
Here the initial amount = n
Final amount after 1 years = 0.84n
The total change in the initial amount = n - 0.84n = 0.16 n
=
Thus, the amount is decreases by 16% in one year,
⇒ Option A is correct.