Answer:
m=4 or slope =4
Step-by-step explanation:
so 
which is the same as 8/2. So all in all the slope is 4.
The domain of the function is x > 0 and the range of the function is -∞ < f(x) < ∞
<h3>How to determine the domain?</h3>
This is the set of input values on the table.
All input values (i.e. the x values) on the table are greater than 0 i.e. x > 0
Using the inequality notation, the domain of the table is x > 0
<h3>How to determine the range?</h3>
From the table, the logarithmic function outputs all zero, positive and negative numbers.
This means that the range is the set of all real numbers i.e. -∞ to ∞
Using the inequality notation, the range of the table is -∞ < f(x) < ∞
Read more about domain and range at:
brainly.com/question/11787743
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Answer:
8 dollars per hour
Step-by-step explanation:
You make 92 a week
20 of that is from your allowance
92-20 = 72
72 is from your part time job
You work for 3 hours on Friday and 6 hours on Saturday, for a total of 3+6 = 9 hours
Take the amount of money earned and divide by the number of hours to determine the money earned per hour
72/9 = 8 dollars per hour
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❖ The volume of the container is 52 units.
4*4*4 = 64
64 - 8 = 52
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Answers:
- Total equation: x+y = 80
- Legs equation: 2x+4y = 248
- How many ducks? 36
- How many cows? 44
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Further explanation:
- x = number of ducks
- y = number of cows
x+y = 80 is the total equation (ie the head count equation) since we assume each animal has 1 head, and there are 80 heads total.
That equation can be solved to y = 80-x after subtracting x from both sides.
The legs equation is 2x+4y = 248 because...
- 2x = number of legs from all the ducks only
- 4y = number of legs from all the cows only
- 2x+4y = total number of legs from both types of animals combined
We're told there are 248 legs overall, so that's how we ended up with 2x+4y = 248
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Let's plug y = 80-x into the second equation and solve for x.
2x+4y = 248
2x+4( y ) = 248
2x+4( 80-x ) = 248
2x+320-4x = 248
-2x+320 = 248
-2x = 248-320
-2x = -72
x = -72/(-2)
x = 36
There are 36 ducks
Now use this x value to find y
y = 80-x
y = 80-36
y = 44
There are 44 cows.
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Check:
36 ducks + 44 cows = 80 animals total
36*2 + 44*4 = 72 + 176 = 248 legs total
The answers are confirmed.
