Answer:
(D) -k2 + k - 13
Step-by-step explanation:
Pulling out like terms :
2.1 Pull out like factors :
-k2 + k - 13 = -1 • (k2 - k + 13)
Trying to factor by splitting the middle term
2.2 Factoring k2 - k + 13
The first term is, k2 its coefficient is 1 .
The middle term is, -k its coefficient is -1 .
The last term, "the constant", is +13
Step-1 : Multiply the coefficient of the first term by the constant 1 • 13 = 13
Step-2 : Find two factors of 13 whose sum equals the coefficient of the middle term, which is -1 .
-13 + -1 = -14
-1 + -13 = -14
1 + 13 = 14
13 + 1 = 14
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
-k2 + k - 13
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Answer:
The answer is <u>B.) $16</u>
Step-by-step explanation:
Multiply 16$ by 6 which resembles half a year. You will get $96 from 16*6
Answer:
50 all you have to do is subtract the least and the biggest number
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
In this question, we will be calculating the probability between a range using normal distribution.
We proceed as follows;
we have, mean (μ)= 3 and standard deviation (σ) = 1
P(2.5<X<3.5) = P(2.5 - 3 < X- μm < 3.5 -3) = P( -0.5/1 < (X - μ ) /σ < 0.5/1 )
since Z= (X - μ ) / σ
P(2.5<X<3.5) = P(-0.5 < Z < 0.5)
Using Standard Normal Table or Z-calculator it can be found that ,
P(-0.5 < Z < 0.5) = 0.383
because P(−0.5<Z<0.5 ) = P ( Z<0.5 ) − P (Z<−0.5 )
using Standard Normal Table : P ( Z<0.5 )=0.6915 and P ( Z<−0.5 ) can be found by using the following fomula.
P ( Z<−a)=1−P ( Z<a )
After substituting a=0.5 we have: P ( Z<−0.5)=1−P ( Z<0.5 )
We see that P ( Z<0.5 )=0.6915 so,
P ( Z<−0.5)=1−P ( Z<0.5 )=1−0.6915=0.3085
At the end we have: P (−0.5<Z<0.5 )= P ( Z<0.5 ) − P (Z<−0.5 ) = 0.383
Step-by-step explanation:
the first derivative by using
f’(x)=xn = nx^(n−1)
f(g(x)) = f’(g(x))g’(x)
So f’(x)=2(x⅔ -1)*(2/3 x^(-1/3))=
Second derivative by using:
h’(x)=f(x)*g(x)=f(x) g’(x) + f’(x) g(x)
f’’(x)=