Step-by-step explanation:
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Algebra
Expand using the Binomial Theorem (3x+2)^4
(3x+2)4(3x+2)4
Use the binomial expansion theorem to find each term. The binomial theorem states (a+b)n=n∑k=0nCk⋅(an−kbk)(a+b)n=∑k=0nnCk⋅(an-kbk).
4∑k=04!(4−k)!k!⋅(3x)4−k⋅(2)k∑k=044!(4-k)!k!⋅(3x)4-k⋅(2)k
Expand the summation.
4!(4−0)!0!⋅(3x)4−0⋅(2)0+4!(4−1)!1!⋅(3x)4−1⋅(2)+4!(4−2)!2!⋅(3x)4−2⋅(2)2+4!(4−3)!3!⋅(3x)4−3⋅(2)3+4!(4−4)!4!⋅(3x)4−4⋅(2)44!(4-0)!0!⋅(3x)4-0⋅(2)0+4!(4-1)!1!⋅(3x)4-1⋅(2)+4!(4-2)!2!⋅(3x)4-2⋅(2)2+4!(4-3)!3!⋅(3x)4-3⋅(2)3+4!(4-4)!4!⋅(3x)4-4⋅(2)4
Simplify the exponents for each term of the expansion.
1⋅(3x)4⋅(2)0+4
Hope this helps!
Answer:
or 
Step-by-step explanation:
step 1
Find the slope of the line
The formula to calculate the slope between two points is equal to

we have the ordered pairs
(3,-5) and (1,-9)
substitute the values



step 2
Find the equation in point slope form

Analyze two cases
<em>First case</em>
we have


substitute

<em>Second case</em>
we have


substitute

Note: The equation of the line in point slope form varies according to the point you choose, in contrast to the slope-intercept form
Y= $0.59(x)
y= $0.59(12)
y=?
y is the total
x is the amount of pen
so you multiply the cost of each pen with the amount of pens
$0.59 times 12
Answer:#1. 13, 18, 23, 28, 33, 38, 4, 48, 53
To generate the next term, add 5 to the previous term.
Step-by-step explanation:18-13=5 see if it is the same for the others and go from there.
Answer:
91.125 or 729/8
Step-by-step explanation:
take 4.5^3 to get 91.125