which polynomial represents the sum below? (3x^2+3) + (3x^2+x+4) A) 6x^2+x+12 B) 9x^2+x+7 C) 6x^@+x+7 d)9x^2+x+12

Mathematics

1 answer:

mezya [45]3 years ago

4 0

Answer:

Step-by-step explanation:

3x^2 + 3 + 3x^2 + x + 4....combine like terms

6x^2 + x + 7 <===

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The distance traveled varies directly with the time spent in motion when speed is held constant.

disa [49]

Answer:

16/3 or 5.3

Step-by-step explanation:

150 miles = 4 hours

Find how long it takes to travel 50 miles(GCF between 150 and 200)

150/3 = 4/3

50 miles = 1 1/3 hours: multiply by 4 to get 200 miles

50 x 4 = 4/3 x 4/1

200 = 16/3

16/3 hours or 5.3

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3 years ago

Need help rn plz thanks

Elodia [21]

Answer:

Figure RST is congruent is R´S´T´

Step-by-step explanation:

Given that R´S´T is a reflection of RST, we know that is a rigid transformation, so it is congruent (the same size & shape).

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3 years ago

Expand (2x+2)^6<br> How would you find the answer using the binomial theorem?

Yanka [14]

Answer:

Step-by-step explanation:

$\displaystyle\\\sum\limits _{k=0}^n\frac{n!}{k!*(n-k)!}a^{n-k}b^k .\\\\k=0\\\frac{n!}{0!*(n-0)!}a^{n-0}b^0=C_n^0a^n*1=C_n^0a^n.\\\\ k=1\\\frac{n!}{1!*(n-1)!} a^{n-1}b^1=C_n^1a^{n-1}b^1.\\\\k=2\\\frac{n!}{2!*(n-2)!} a^{n-2}b^2=C_n^2a^{n-2}b^2.\\\\k=n\\\frac{n!}{n!*(n-n)!} a^{n-n}b^n=C_n^na^0b^n=C_n^nb^n.\\\\C_n^0a^n+C_n^1a^{n-1}b^1+C_n^2a^{n-2}b^2+...+C_n^nb^n=(a+b)^n.$

$\displaystyle\\(2x+2)^6=\frac{6!}{(6-0)!*0!} (2x)^62^0+\frac{6!}{(6-1)!*1!} (2x)^{6-1}2^1+\frac{6!}{(6-2)!*2!}(2x)^{6-2}2^2+\\\\ +\frac{6!}{(6-3)!*3!} (2a)^{6-3}2^3+\frac{6!}{(6-4)*4!} (2x)^{6-4}b^4+\frac{6!}{(6-5)!*5!}(2x)^{6-5} b^5+\frac{6!}{(6-6)!*6!}(2x)^{6-6}b^6. \\\\$

$(2x+2)^6=\frac{6!}{6!*1} 2^6*x^6*1+\frac{5!*6}{5!*1}2^5*x^5*2+\\\\+\frac{4!*5*6}{4!*1*2}2^4*x^4*2^2+ \frac{3!*4*5*6}{3!*1*2*3} 2^3*x^3*2^3+\frac{4!*5*6}{2!*4!}2^2*x^2*2^4+\\\\+\frac{5!*6}{1!*5!} 2^1*x^1*2^5+\frac{6!}{0!*6!} x^02^6\\\\(2x+2)^6=64x^6+384x^5+960x^4+1280x^3+960x^2+384x+64.$