Answer:
Step-by-step explanation:
steps are down below:
OVER HERE
2 answers:
Answer:
- Minimum 2 hours
Step-by-step explanation:
Sunset Canyon Bikes charges $1.50 per hour and a $8.00 rental fee.
<u>Equation:</u>
- y = 1.5x + 8
Blue Canyon Bikes charges $3.50 per hour and a $4.00 rental fee
<u>Equation:</u>
- y = 3.5x + 4
The second equation has a greater slope so beyond the intersection of the lines the Sunset Canyon Bikes will have lower price.
<u>The point of intersection is:</u>
- 1.5x + 8 = 3.5x + 4
- 3.5x - 1.5x = 8 - 4
- 2x = 4
- x = 2 hours
The graph is attached, where the red line is the first equation and the blue line is the second one.
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Geez this is a doozy
okay first factor the binomial using binomial theorem. you probably don't remember that (at least I didn't) so here it is.
you have to figure out what two numbers add to -17 and multiply together to make 72
so make a table of all the numbers that add to 17 then multiply them together and see of they make 72. since it's -17 we will need to use two negative numbers:
-1 * -16 = 16
-2 * -15 = 30
-3 * -14 = 42? idk
-4 * -13 = something, math is hard
keep going until...
-8 * -9 = 72
so it's -8 and -9 are the factors we want.
we wrote this as:
seeing this equal as our area in the a=l*w formula gives:
Now, plug in a number greater than 9.
It has to be greater than 9 because anything less than that would give us a negative area. Let's use 10 because it's easy. It doesn't matter which number you use as long as it's greater than 10. The problem appears to say it just wants a possible length and width, not a specific answer.
so factors of 2.
length could be 1 and width could be 2 or vice versa.
you could also choose a different number than 10. let's try 20.
so lw could also be 10 and 3 in this case. or 5 and 6. or 1 and 30. all these answers would be correct.
okay first factor the binomial using binomial theorem. you probably don't remember that (at least I didn't) so here it is.
you have to figure out what two numbers add to -17 and multiply together to make 72
so make a table of all the numbers that add to 17 then multiply them together and see of they make 72. since it's -17 we will need to use two negative numbers:
-1 * -16 = 16
-2 * -15 = 30
-3 * -14 = 42? idk
-4 * -13 = something, math is hard
keep going until...
-8 * -9 = 72
so it's -8 and -9 are the factors we want.
we wrote this as:
seeing this equal as our area in the a=l*w formula gives:
Now, plug in a number greater than 9.
It has to be greater than 9 because anything less than that would give us a negative area. Let's use 10 because it's easy. It doesn't matter which number you use as long as it's greater than 10. The problem appears to say it just wants a possible length and width, not a specific answer.
so factors of 2.
length could be 1 and width could be 2 or vice versa.
you could also choose a different number than 10. let's try 20.
so lw could also be 10 and 3 in this case. or 5 and 6. or 1 and 30. all these answers would be correct.
Scores on an AP Exam at a local high school are recorded in the table. What was the average score?
Answer: D) 4.266 is correct
Explanation:
We are given the below frequency table:
Score Frequency
1 | 0
2 | 3
3 | 4
4 | 16
5 | 22
Let's denote the score by and frequency by
.
The average formula is:
Therefore, the average score was 4.267
Hence the option D) 4.266