To factor this fraction, you have be be aware of two special factoring formula:
a^3<span> + </span>b^3<span> = (</span>a<span> + </span>b)(a^2<span> – </span>ab<span> + </span>b^2<span>)
</span><span>(a+b)³ = a³ + 3a²b + 3ab² + b³
You can see the top part in this case is (x+y)^3, and the bottom (denominator) can be factor into (x+y)(x^2-xy+y^2)
we can cancel (x+y), so what we have left is (x+y)^2/(x^2-xy+y^2)
or (x^2+2xy+y^2)/(x^2-xy+y^2)
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Answer:
y = 2x - 12
Step-by-step explanation:
To find the inverse of a function, you switch x and y and solve for y.
x = 1/2 y + 6 switch x and y
x - 6 = 1/2 y subtract 6 from both sides
2x - 12 = y multiply both sides by 2
Answer:
40 mph
Step-by-step explanation:
We assume "outbound" refers to the trip <em>to the lake</em>. The ratio of speeds is inversely proportional to the ratio of times, so ...
outbound speed : inbound speed = 4 : 3
These differ by one ratio unit, so that one ratio unit corresponds to the speed difference of 10 mph. Then the 4 ratio units of outbound speed will correspond to ...
4×10 mph = 40 mph
Paul's average speed on the outbound trip was 40 mph.
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The distance to the lake was 120 mi.
Answer:
A) The point( -1 , 5) is satisfies the given graph 
B) The point( 3 , 1/125) is satisfies the given graph
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given graph
y =
Put the point ( -1 , 5)
Put y =5 and x =-1
The point( -1 , 5) is satisfies the given graph
ii)
Given graph
y =
The point( 3 , 1/125) is satisfies the given graph
