Step-by-step explanation:
(7m²-3m-7)(m²-7m-6) =
7m⁴-49m³-42m²-3m³+21m²+18m
-7m²+49m+42
= 7m⁴-52m³-28m²+67m+42
Answer:
3(x+6)
Step-by-step explanation:
Parenthesis after a number typically means multiply, so 3 times the sum of an unspecified number (x), plus 6 would be 3 (x+6)
Answer to the miscellaneous equation, is x=0
Miscellaneous equation are the equations which are not polynomial.
The question can be solved by:
Factorising:Splitting the terms to find the required solution
Completing the squares, etc
2ˣ -3ˣ=√(6ˣ-9ˣ)
-> (2ˣ -3ˣ)²=(3ˣ.2ˣ - 3²ˣ)
Squaring both sides,
-> 2²ˣ+3²ˣ- 2.3ˣ.2ˣ=(3ˣ.2ˣ - 3²ˣ)
-> 2²ˣ+2.3²ˣ-2.3ˣ.2ˣ-3ˣ.2ˣ=0
Factorising the terms,
-> 2ˣ(2ˣ-3ˣ) -2.3ˣ(2ˣ-3ˣ)=0
-> (2ˣ-3ˣ)(2ˣ-2.3ˣ)=0
Equating the braces to zero,
x=0 is the only solution.
Therefore, x =0 is the only solution
Learn more about miscellaneous equation: brainly.com/question/1214333
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Answer:
19.5^2 + x^2 = 20^2
Step-by-step explanation:
You would use the pythagorean theorem to find the missing side length
Answer:
P( x < 8) = 0.0344
Step-by-step explanation:
<u><em>Step(i)</em></u>:-
Given 'n' = 20 and 'p' = 0.60
Mean of the binomial distribution = n p
μ = n p = 20 × 0.60 = 12
<em>Mean 'μ' = 12</em>
Standard deviation of the binomial distribution = 
<em>Standard deviation σ = 2.19</em>
<u><em>Step(ii):</em></u><em>-</em>
Let 'X' be the random variable of normal distribution
Let 'x' = 8
P( x < 8) = P( Z< -1.82)
= 1- P( Z>1.82) (∵ A(-1.82) = A(1.82)
= 1 - (0.5 + A( 1.82))
= 0.5 - A (1.82)
= 0.5 - 0.4656
= 0.0344
<u>Conclusion</u>:-
<em>P( x < 8) = 0.0344</em>
