Step-by-step explanation:
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Algebra Examples
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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!
Yes she does, the total would be 19.26 dollars. First you make 7 into a percentage which is 0.07% (move the decimal to the left twice if it is out of 100). You then multiply it by 18, that should be .07x18= 1.26. You then add that 1.26 to the 18 and bam, it equals to 19.26 which is your answer.
Answer:
D. It has a single solution: x=-3, y= 26.
Step-by-step explanation:
3x + y=17
Subtract 3x so it is in y=mx+b form. So now it is y= -3x +17
Now plug in
x + 2 (-3x+17) = 49
x + -6x + 34 = 49 (distribute)
-5x = 15 (combine the x terms and subtract 34 on both sides)
x = -3 (divide -5 on both sides to get x alone)
now plug in x into any other equation to get y
x + 2y = 49
-3 + 2y = 49
2y = 52 (add 3 on both sides)
y = 17 (divide 2 on both sides to get y alone)
(-3, 26)
