Answer:
Step-by-step explanation:
It can be found by integral.
First let's find the intersection points.
Only intersection point is x = 2.
And it is asked to find the area in the interval (2, 4).
We will use integration by parts.
If the cost of one pen is x, the Sasha spend 3x, and Malachi spent 1x.
Sahsa spend 3x - 1x more than Malachi. So, Sasha spent 2x more than Malchi did for a pen.
Just plug in how much a pen costs into x to fi d the numerical answer. :)
Answer: n = 75; p = 30
Explanation: (a) 5p + 4n = 450 where p is for pen and n is for notebook.
(b) 10p + 3n = 525
We can use the elimination method to solve these two equations.
1. Multiply the first equation by 2 so that 10p will cancel out:
2(5p + 4n = 450)
- 10p + 3p = 525
10p + 8n = 900
- 10 p + 3n = 525
5n = 375
2. Divide by 5 to get n alone: n = 75
3. Plug 75 into the first equation: 5p + 4(75) = 450
5p + 300 = 450
4. Subtract 300 from 450: 5p = 150
5. Divide by 5 to get p alone: p = 30
We can test if this is correct by plugging our answers into the second equation:
10(30) + 3(75) = 525
300 + 225 = 525
525 = 525
This is a true statement, which means that our answers are correct.
Answer: 10 1/2
Step-by-step explanation:
