Is 3x + 12 +x and 4 (3 + x) equivalent .Why and Whynot?

Mathematics

2 answers:

VARVARA [1.3K]3 years ago

7 0

Answer: They are

Step-by-step explanation: the first one you add both terms of x’s and you get 12+4x. The second one you use the distributive property, 4*3+4*x and get 12+4x.

Luden [163]3 years ago

4 0

Answer:

no because yes 4 multiplied by 3 its x but the 4 can still not replace the x

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Which term of the Ap: 3,8,13,18.......is 78?

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Answer:

$\bold{a_{16}=78}$

Step-by-step explanation:

$a_1=3,\ a_2=3+5=8,\ a_3=8+5=13,\ a_4=13+5=18\ \implies\ d=5\\\\a_n=a_1+(n-1)d\\\\a_n=3+(n-1)(5)\\\\a_n=3+5n-5\\\\a_n=5n-2\\\\ a_n=78\quad\implies\quad n=\,??\\\\78=5n-2\\\\78+2=5n\\\\5n=80\\\\n=16$