You should know that:
(a+b)(a+b)(a+b)
=a(a+b)(a+b)+b(a+b)(a+b)
=a(a²+2ab+b²)+b(a²+2ab+b²)
=a³+2a²b+ab²+a²b+2ab²+b³
=a³+3a²b+3ab²+b³
-----------------
If a=5x and b=-4y
(5x+(-4y))³
=(5x-4y)³
=(5x)³+3(5x)²(-4y)+3(5x)(-4y)²+(-4y)³
=125x³+3(25x²)(-4y)+15x(16y²)-64y³
=125x³+75x²(-4y)+240xy²-64y³
=125x³-300x²y+240xy²-64y³
Answer:
(0, 3)
Step-by-step explanation:
The y-intercept of any function can generally be defined as:
, since the y-intercept is when the function crosses the y-axis.
Anywhere on the y-axis, the x-value = 0, so the x value of the y-intercept will always be 0, and the y value is f(0), since x=0.
By looking at the graph it appears to intercept the y-axis at (0, 3) which should be the answer
Step-by-step explanation:
Percentage decrease = 30% × 25
New value = 25 - Percentage decreaseNew value =
25 - Percentage decrease =
25 - (30% × 25) =
25 - 30% × 25 =
(1 - 30%) × 25 =
(100% - 30%) × 25 =
70% × 25 =
70 ÷ 100 × 25 =
70 × 25 ÷ 100 =
1,750 ÷ 100 =
17.5
Absolute change (actual difference) =
New value - 25 =
17.5 - 25 =
- 7.5
Answer:
im in 8th grade and im getting your questions
Step-by-step explanation:
Carter paid $200 for the bike.
Step-by-step explanation:
Given,
Current value of bike = $90
This represent 45% of the original amount Carter paid for bike.
Let,
x represent the original amount of bike.
45% of x = 90

Dividing both sides by 0.45

Carter paid $200 for the bike.
Keywords: percentage, division
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