Answer:
c) (3-7x^2)(x-3)
Step-by-step explanation:
-7x^3+21x^2+3x-9
Factor out a -7x^2 from the first two terms and a 3 from the last two terms
-7x^2 (x -3) +3(x-3)
Now factor out (x-3)
(x-3) (-7x^2+3)
Rearranging)
(x-3) (3-7x^2)
Answer:
Step-by-step explanation:
Given:
Type of Flowers = 5
To choose = 4
Required
Number of ways 4 can be chosen
The first flower can be chosen in 5 ways
The second flower can be chosen in 4 ways
The third flower can be chosen in 3 ways
The fourth flower can be chosen in 2 ways
Total Number of Selection = 5 * 4 * 3 * 2
Total Number of Selection = 120 ways;
Alternatively, this can be solved using concept of Permutation;
Given that 4 flowers to be chosen from 5,
then n = 5 and r = 4
Such that
![nPr = \frac{n!}{(n - r)!}](https://tex.z-dn.net/?f=nPr%20%3D%20%5Cfrac%7Bn%21%7D%7B%28n%20-%20r%29%21%7D)
Substitute 5 for n and 4 for r
![5P4 = \frac{5!}{(5 - 4)!}](https://tex.z-dn.net/?f=5P4%20%3D%20%5Cfrac%7B5%21%7D%7B%285%20-%204%29%21%7D)
![5P4 = \frac{5!}{1!}](https://tex.z-dn.net/?f=5P4%20%3D%20%5Cfrac%7B5%21%7D%7B1%21%7D)
![5P4 = \frac{5*4*3*2*1}{1}](https://tex.z-dn.net/?f=5P4%20%3D%20%5Cfrac%7B5%2A4%2A3%2A2%2A1%7D%7B1%7D)
![5P4 = \frac{120}{1}](https://tex.z-dn.net/?f=5P4%20%3D%20%5Cfrac%7B120%7D%7B1%7D)
![5P4 = 120](https://tex.z-dn.net/?f=5P4%20%3D%20120)
Hence, the number of ways the florist can chose 4 flowers from 5 is 120 ways
Answer:
4 hours
Step-by-step explanation:
For three visits, the electrician earned $40 × 3 = $120 in "per-visit" charges. For working x hours, he earned 20x in "per-hour" charges. The total of these came to 50x:
120 +20x = 50x
120 = 30x . . . . . . . . subtract 20x
4 = x . . . . . . . . . . . . . divide by 30
The electrician worked 4 hours that day.
Ummm....did you mean like what is the answer to 6x100?
Answer:
670.9
Step-by-step explanation:
because 670.9 is bigger and 670.008 has more 0's and 0's aren't greater