3 years ago

Simplify this algebraic expression.

Mathematics

1 answer:

Maru [420]3 years ago

4 0

Answer:

Step-by-step explanation:

$y - \frac{3}{3} + 12$

$y - 1 + 12$

$y + 11$

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3 years ago

Show work and explain with formulas if possible.

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12 Answer: 20.25

Step-by-step explanation:

$a_1=4,\ r=1.5,\ n=5\\\\a_n=a_1\cdot r^{n-1}\\\\a_5=4\cdot (1.5)^{5-1}\\\\.\ =4\cdot (1.5)^4\\\\.\ =4\cdot 5.0625\\\\.\ =\large\boxed{20.25}$

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Step-by-step explanation:

$a_1=8,\ d=4, \n=30\\\\a_n=a_1+d(n-1)\\\\a_{30}=8+4(30-1)\\\\.\ =8+4(29)\\\\.\ =8+116\\\\.\ =124\\\\\\S_n=\dfrac{a_1+a_n}{2}\cdot n\\\\\\S_{30}=\dfrac{8+124}{2}\cdot 30\\\\\\.\quad =\dfrac{132}{2}\cdot 30\\\\\\.\quad =66\cdot 30\\\\\\.\quad =\large\boxed{1980}$

16 Answer: 12

Step-by-step explanation:

$\sum\limits^\infty_{n=1} 6\bigg(\dfrac{1}{2}\bigg)^{n-1}\\\\\\S_1=6\qquad \qquad S_2=3\qquad \qquad S_3=1.5\\\\\\\sum\limits^\infty_{n=1} 6\bigg(\dfrac{2}{2^n}\bigg)=\sum\limits^\infty_{n=1} 6\cdot 2\bigg(\dfrac{1}{2^n}\bigg)=12+\sum\limits^\infty_{n=1}\bigg(\dfrac{1}{2^n}\bigg)=12+0=\large\boxed{12}$