Step-by-step explanation:
<h3>
<u>Given Question :-</u></h3>
Given expression is
<em>On rationalizing the denominator, we get </em>
<em>We know, </em>
<em>So, using this, we get </em>
Hence,
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<h2>More Identities to know :- </h2>
(a + b)² = a² + 2ab + b²
(a - b)² = a² - 2ab + b²
a² - b² = (a + b)(a - b)
(a + b)² = (a - b)² + 4ab
(a - b)² = (a + b)² - 4ab
(a + b)² + (a - b)² = 2(a² + b²)
(a + b)³ = a³ + b³ + 3ab(a + b)
(a - b)³ = a³ - b³ - 3ab(a - b)
Answer:
true
Step-by-step explanation:
Answer:
The answer is 30 or 7.5
Step-by-step explanation:
There are two answers because you haven't specified whether the 15 corresponds with the 5 or the 10 so I did both.
If the 15 corresponds with the 5 then the scale factor is 3 because 15 ÷ 5 = 3. To find the unknown amount you have to multiply the 10 by 3 to get 30.
If the 15 corresponds with the 10 then the scale factor is 1.5 because 15 ÷ 10 = 1.5. To find the unknown amount you have to multiply the 5 by 1.5 to get 7.5.
So depending on whether the 15 corresponds to the dimension 5 or 10 you have two answer, you can use the one that applies to you.
The average rate of change of the function in the given interval -3 ≤ x ≤-1 is 10.
<h3>What is the average rate of change?</h3>
The average Rate of Change of the function f(x) can be calculated as;
Interval -3 ≤ x ≤-1
a = -3, b = -1
f(a) = f(-3) = -20
f(b) = f(-1) = 0
Step 2: Find Average
Therefore, the average rate of change of the function in the given interval -3 ≤ x ≤-1 is 10.
Learn more about average rate;
brainly.com/question/20784578
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P(A)= 4+5+6= 15/2= 75%
P(B)= 6+4=10 5/10= 50%
P(C)= 5+4=9 6/9= 66.6%
