1/3 (n+1)+2=1/6 (3n-5)

Answers

Answer 1

Answer: $\frac { 1 }{ 3 } \left( n+1 \right) +2=\frac { 1 }{ 6 } \left( 3n-5 \right)$

$\n \n 6\left\{ \frac { 1 }{ 3 } \left( n+1 \right) +2 \right\} =6\cdot \frac { 1 }{ 6 } \left( 3n-5 \right)$

$\n \n 2\left( n+1 \right) +12=3n-5\n \n 2n+2+12=3n-5\n \n 2+12+5=3n-2n\n \n 19=n$

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Express the fractions 1/2, 3/16, and 7/8 with an LCD. A. 1/32, 3/32, 7/32 B. 8/16, 3/16, 14/16 C. 4/8, 6/8, 14/8 D. 1/4, 3/4, 7/4

A box of cereal states that there are 81 calories in a 7-cup serving. What is the unit rate for caloriesper cup? How many calories are there in 2 cups of the cereal?

The unit rate is calorie(s) per cup.

(Simplify your answer. Type an integer, proper fraction, or mixed number.)

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AC 40)

S50 AM

9/25/2020

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Answer:

23.142857143 calories or 23 1/7 calories

The unit rate is calories per cup

Step-by-step explanation:

7- cup serving = 81 calories

2 cups = x calories

Cross Multiply

2 cups × 81 calories = 7 cups × x

x = 2 cups × 81 calories/7 cups

x = 23.142857143 calories or 23 1/7 calories

Guillmero wants to purchase a new controller for his video game System. He has a $10 off coupon for big electronics. At costmart there is a 25% off sale on any item . regular price for the controllers at both stores is $49.99. Write an inequality and tell where guillermo will get the better price.

Answers

If you would like to know where Guillmero will get the better price, you can calculate this using the following steps:

a coupon: $49.99 - $10 = $39.99

Costmart: 25% of $49.99 = 25% * 49.99 = 25/100 * 49.99 = $12.4975 = $12.50
$49.99 - $12.50 = $37.49

Guillmero will get a better price at Costmart.

4) A sequence is defined recursively by f(1) = 2and f(n) = 3f(n-1) + 1. Find the first three
terms of the sequence.

- How do I do this question and just Recursive Sequences in general?

Answers

$S=[2,7,22,\dots]$ .

Let me explain why.

$f(1)=2$ this is our first term.

$f(2)=3f(2-1)+1=3f(1)+1=7$ second term.

$f(3)=3f(3-1)+1=3f(2)+1=22$ third term.

...

Pretty simple huh?

Hope this helps.

Answer:

The first 3 terms are 2, 7, 22.

Step-by-step explanation:

The n is the sequence number of the term: f(1) means the first term.

The second term

f(2) = 3f(n - 1) + 1 We make n = 2:

= 3f(2-1) + 1

= 3f(1) + 1 f(1) = 2 so:

= 3*2 + 1

= 7.

3rd term f(3)

= 3f(3 - 1) + 1

= 3f(2) + 1

= 3(7) + 1

= 22.

If x^5y^4z^2 <0 , which of the following must be true?I xy <0
II yz <0
III xz <0

Answers

$x^5y^4z^2 < 0\n\ny^4\geq0\ for\ y\in\mathbb{R}\n\nz^2\geq0\ for\ y\in\mathbb{R}\n\nx^5 > 0\ for\ y\in\mathbb{R^+}\ and\ x^5 < 0\ for\ x\in\mathbb{R^-}\n\n------------------------------\n\nx^5\underbrace{y^4z^2}_(> 0) < 0\iff x^5 < 0\Rightarrow xy < 0\ \wedge\ xz < 0\n\n------------------------------\n\nAnswer:I\ xy < 0\ and\ III\ xz < 0.$