Plans A and D are incorrect because plan C states that it would have a consistent price for 8 weeks, whereas plan D would require 16 weeks to reach $12, which eliminates A and D as options. If the price were to be increased by 10% weekly, it would take 5 weeks to hit $12, as 10% of $8 amounts to 80 cents, leading to a total increase of $4 after 5 weeks, making the price $12. This confirms that B is the right choice.
Answer:
C. 4x^3 - 14x^2y + 14xy^2 - 4y^3
Step-by-step explanation:
Given:
Multiplication of 2x^2 – 3xy + y^2 and 2x – 4y
Multiplication refers to the product
(2x^2 – 3xy + y^2) (2x – 4y)
Expand the brackets
= 4x^3 - 8x^2y - 6x^2y + 12xy^2 + 2xy^2 - 4y^3
Combine like terms
= 4x^3 - 14x^2y + 14xy^2 - 4y^3
The result is
C. 4x^3 - 14x^2y + 14xy^2 - 4y^3
Part 1) The radius of the circle is r=17 units. Part 2) The points (-15,14) and (-15,-16) are situated on this circle. Step-by-step explanation: Step 1 Find the radius of the circle. We know that the distance from the center of the circle to any point on its circumference equals the radius of the circle. The formula to determine the distance between two points is equal to......we have (-7, -1) and (8, 7) substitute... Step 2 Determine the y-coordinate of point (-15,y). The standard form of the circle's equation is given by... where (h,k) represents the center, and r is the radius. Replace the values, substituting x=-15 in the equation... square root both sides... ultimately, we find two solutions: point (-15,14) and point (-15,-16) refer to the attached figure for a clearer understanding of the problem.
Given that
Total tickets = 10
Winning tickets = 6
For every three prizes, there’s one large prize
therefore,
At this point,
