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k0ka [10]
3 years ago
12

Which statement about the simplified binomial expansion of (a + b)", where n is a positive integer, is true?

Mathematics
2 answers:
kifflom [539]3 years ago
6 0

A on edg, "The exponent of B will always be even"

Alja [10]3 years ago
4 0

Answer:

(a+b)^n  ={n \choose 0}a^{(n)}b^{(0)} + {n \choose 1}a^{(n-1)}b^{(1)} + {n \choose 2}a^{(n-2)}b^{(2)} + .....  +{n \choose n}a^{(0)}b^{(n)}

Step-by-step explanation:

The Given question is INCOMPLETE as the statements are not provided.

Now, let us try and solve the given expression here:

The given expression is: (a +b)^n, n > 0

Now, the BINOMIAL EXPANSION is the expansion which  describes the algebraic expansion of powers of a binomial.

Here, (a+b)^n  = \sum_{k=0}^{n}{n \choose k}a^{(n-k)}b^{(k)}

or, on simplification, the terms of the expansion are:

(a+b)^n  ={n \choose 0}a^{(n)}b^{(0)} + {n \choose 1}a^{(n-1)}b^{(1)} + {n \choose 2}a^{(n-2)}b^{(2)} + .....  +{n \choose n}a^{(0)}b^{(n)}

The above statement holds for each  n > 0

Hence, the complete expansion for the given expression is given as above.

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H(x) =-4x+ 3; Find h(x-1)
Mila [183]

Answer:

h(x-1) = - 4x + 7

Explanation:

To find h(x - 1), we need to replace x by (x-1) on h(x). Then:

\begin{gathered} h(x)=-4x+3 \\ h(x-1)=-4(x-1)+3 \\ h(x-1)=-4x-4(1)+3 \\ h(x-1)=-4x+4+3 \\ h(x-1)=-4x+7 \end{gathered}

Therefore, h(x-1) = - 4x + 7

3 0
1 year ago
Four pairs of shoes cost $80 what is the cost of seven pairs of shoes
anzhelika [568]

80 divided by 4 is 20

$20 times 7 shoes is

$140

Hope this helps!

5 0
3 years ago
Read 2 more answers
Diameter of 6x and height of 2x+5 what is the volume of the cylinder
ikadub [295]

Answer:

V = pi*x^2*(18x - 45)

Step-by-step explanation:

If the diameter is 6x and the height is 2x + 5, we know that the radius is 3x.

Plugging this info into the volume-of-a-cylinder formula V = pi*r^2*h, we get:

V = pi*(3x)^2*(2x - 5), or    V = pi*(9x^2)(2x -5), or:

V = pi*(18x^3 - 45x^2), or V = pi*x^2*(18x - 45)

3 0
3 years ago
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Plz answer ASAP I will give you five stars
Alik [6]

Answer:

7238.23

Step-by-step explanation:

the answer is 7238.23

3 0
3 years ago
Directions: Solve each problem. Show how you found each answer.
Misha Larkins [42]

Answer:

8 and a half hours

Step-by-step explanation:

Time arthur went to bed = 9:30 pm
Time arthur woke up = 6 am
Hours arthur was asleep = 24 - (9 and half + 6)
                                         = 24 - 15 and a half
                                         = 8 and a half

8 0
2 years ago
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