From 1st condition:
3^(x+1)=81
Take log on both sides,
➡ log [3^(x+1)]=log81
Use the property: log(x^a)=a logx
➡ (x+1) log 3=log(3⁴)
➡ (x+1) log 3=4×log 3
➡ (x+1)=4 (log 3 /log 3)
➡ x+1=4
➡ x=3➡↪➡↪ ANS
From 2nd condition, (Same process are repeated)
81^(x-y)=3
➡ 3^4(x-y)=3
➡ log [3^4(3-y)]=log 3
➡ 4(3-y) log 3=log 3
➡ (3-y)=(log 3)/(4log 3)
➡ 3-y=(1/4)
➡ y=11/4 ➡↪➡↪ ANS
Answer:
y=-3/2x+12
Step-by-step explanation:
To make a line parallel you just need to change the y intercept. using desmos.com i put in the original equations and the point given and made a new line and finding the new y intercept by guessing and checking different numbers.
Answer:
Step-by-step explanation:
1. Write an expression to show how to calculate the number of buses needed. Make sure to include parenthesis to show what should be done first since order of operations is important.
(9*25)+4+(2*4)=237 (total number of people going to the museum
Each bus,excluding the driver,holds 44 people
237/44 = 5.3863636363.......
2. How many buses will be needed?
6 buses are needed
3. Why must the answer to the problem be a whole number?
Buses cannot be divided in fractions It should be or 5 buse or 6
But 5 buses are not enough
4. Why shouldn't you round the answer the usual way?
Even when rounded it is still a decimal and buses need to be counted by whole number
5. Can your answer be classified as a rational number? Explain why or why not.
6 is a rational number (whole number)
5.38636363.......is rational ( repeating decimal
Solution:
we are given that
Last month, Doug's neighbor paid him $55 for 6 hours of mowing.
we have been asked that
Is this situation most likely a proportional relationship?
yes..its as proportional relationship.
Because the amount that Doug get is $55 for 6 hours
It mean for each hour Doug get is 
$
It mean if you increase the number of hours then the number of dollars get paid also increases. Hence the given situation is most likely a proportional relationship.
Answer:
40
Step-by-step explanation:
8 incorrect answers x -3 points per wrong answer. 64 - 24 points taken off = score of 40.
