Factorise
2 answers:
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Answer: Second Option
Step-by-step explanation:
The formula for calculating the average rate of change between two values of x ( and
) is:
and
are the values of the function when
and
In this case
Observe that when ,
and when
,
Finally the average rate of change from 3 to 6 storms is:
Answer:
Step-by-step explanation:
The isosceles triangle containing the side of <em>y</em><em> </em><em>+</em><em> </em><em>12</em><em> </em>is congruent to <em>3x² - </em><em>32</em><em> </em>[<em>base angles</em> are congruent], and if you look closer, they are also equivalent to all three sides of the equilateral triangle <em>adjacent</em> to the isosceles triangle. So, we will be working with alot gadgets here, if you know what I mean. Anyway, this is how we start out:
-5y - 5y
___________________
-4 = -4y + 12
-12 - 12
____________
-16 = -4y
___ ___
-4 -4
4 = y [Plug this back into both equations to get the value of 16.]
Next, you will set <em>3x² - 32 </em>equal to 16:
+32 + 32
_________________
48 = 3x²
__ ___
3 3
16 = x²
4 = x [In this case, we want the NON-NEGATIVE root because inputting a -4 for <em>x</em><em> </em>will not give us identical answers.]
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Answer:
1/6
1/12
1/2
Step-by-step explanation:
There are three possible outcomes in the left spinner, and four possible outcomes in the right spinner. So there are a total of 3×4=12 possible combinations. We can show that by making a grid:
Of these 12 combinations, 2 show both spinners landing on the same color (RR and BB). So the probability is 2/12 = 1/6.
There is only 1 outcome in which the first spinner lands on R <em>and</em> the second spinner lands on P (PR), so the probability is 1/12.
There are 6 outcomes in which the first spinner lands on R <em>or</em> the second spinner lands on P (RR, BR, PR, RY, BP, GP). So the probability is 6/12 = 1/2.