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3 years ago

7

Zachary plays a game. He earns and loses the following amounts of points throughout the entire game. How many points does Zachar

y have at the end of the game?

1 answer:

Sergio039 [100]3 years ago

4 0

Answer:

0 points

Step-by-step explanation:

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ln(y+1)-lny=1+3lnx . Express y in terms of x, in a form not involving logarithms. (4 marks, Maths CIE A level)

Delicious77 [7]

$remember$
$ln(x)=log_e(x)$
$and$
$log_x(a)-log_x(b)= log_x( \frac{a}{b} )$
$and$
$log_a(b)=c$ means $a^c=b$
$and$
$blog(a)=log(a^b)$

$so$

$ln(y+1)-ln(y)=1+3ln(x)$
$ln( \frac{y+1}{y} )=1+ln(x^3)$

$minus$ $ln(x^3)$ $from$ $both$ $sides$

$ln( \frac{y+1}{y}-ln(x^3) )=1$
$ln( \frac{y+1}{yx^3})=1$
$log_e( \frac{y+1}{yx^3})=1$

$translate$

$e^1=\frac{y+1}{yx^3}$
$e=\frac{y+1}{yx^3}$

$times$ $both$ $sides$ $by$ $yx^3$

$eyx^3=y+1$

$minus$ $y$ $from$ $both$ $sides$

$eyx^3-y=1$
$y(ex^3-1)=1$

$divide$ $both$ $sides$ $by$ $(ex³-1)$

$y= \frac{1}{ex^3-1}$

6 0

3 years ago

Read 2 more answers

julia-pushkina [17]

The answer to this question is C

6 0

3 years ago

Simplify 3a + 2b - 8a + b

Harlamova29_29 [7]

To simplify 3a + 2b - 8a + b, we need to combine like terms. Like terms are terms that share common variables. In this expression, the two variables are terms with a and terms with b. The terms that have a are 3a and -8a. The terms that have b are 2b and b. Now we can separate them and simplify.

(3a - 8a) + (2b + b)

-5a + 3b

6 0

3 years ago

Read 2 more answers

I dont get how to solve this?

Alex

Answer:

Step-by-step explanation:

In standard form this could be rewritten as | b - 0 | > 6, which in words, says,

"b is greater than 6 units away from 0 on a number line". If b is greater than 6 units away, both positive 6 and negative 6 are 6 units away from 0. Because the values we need are greater than 6 units away from 0, we are starting at both 6 and -6 and moving away from 0.

The "greater than" symbol indicates that this is a disjunction so the word "or" is used as opposed to in a conjunction where the word "and" is used.

Therefore, our solutions are

b < -6 or b > 6, the 3rd choice down

5 0

3 years ago

3. The talent show committee sold a total of 522 tickets. Student tickets cost $3 each and adult tickets

irina1246 [14]

Answer:

Step-by-step explanation:

If student ticket = 215 then 215 x 3 = 645$

Remaining tickets = 522 - 215 = 307

So adult tickets = 307 x 4 = 1228$

Total amount = 1228 + 645 = $1873

7 0

2 years ago