Answer:
(2x-3)(x+1)
Step-by-step explanation:
2x²-x-3
(2x-3)(x+1)
Answer:
6y - 3y - 7 = -2 +3
Simplify both sides:
3y -7 = 1
Add 7 to both sides:
3y = 8
Divide both sides by 3:
y = 8/3 = 2 2/3
There is only one solution.
<span>Answer:-0.03333333333 </span>
Answer: c) 277,200
Step-by-step explanation:
The number of permutations can be formed of n things , where a things are like b things are like and so on :
![\dfrac{n!}{a!\ b!....}](https://tex.z-dn.net/?f=%5Cdfrac%7Bn%21%7D%7Ba%21%5C%20b%21....%7D)
The given word : ENGINEERING
Total letters = 11
Number of E's = 3
Number of N's = 3
Number of G's =2
Number of I's =2
The number of permutations can be formed from all the letters in the word "ENGINEERING" will be :
![\dfrac{11!}{3!3!2!2!}\\\\=\dfrac{11\times10\times9\times8\times7\times6}{6\times6\times2\times2}\\\\=277200](https://tex.z-dn.net/?f=%5Cdfrac%7B11%21%7D%7B3%213%212%212%21%7D%5C%5C%5C%5C%3D%5Cdfrac%7B11%5Ctimes10%5Ctimes9%5Ctimes8%5Ctimes7%5Ctimes6%7D%7B6%5Ctimes6%5Ctimes2%5Ctimes2%7D%5C%5C%5C%5C%3D277200)
Hence, the number of permutations can be formed from all the letters in the word "ENGINEERING" = 277,200
∴ Correct answer is c) 277,200
Answer:
7 weeks.
Step-by-step explanation:
Will works 7 hours a day, 6 days a week. So total number of hours worked by Will is,
![=7\times 6=42](https://tex.z-dn.net/?f=%3D7%5Ctimes%206%3D42)
hours
He earns £9.20 an hour, so total money earned in a week by Will will be,
![=42\times 9.20=\£386.4](https://tex.z-dn.net/?f=%3D42%5Ctimes%209.20%3D%5C%C2%A3386.4)
As he shares with his mother in a ration of 5:2, so he gets 2 parts out of 7 parts. (as 5+2=7)
So the actual amount saved by Will is,
![=386.4\times \dfrac{5}{7}=\£276](https://tex.z-dn.net/?f=%3D386.4%5Ctimes%20%5Cdfrac%7B5%7D%7B7%7D%3D%5C%C2%A3276)
The price of the car is £1932, so the number of week that Will will take is,