Answer: 2x³-10x²+12x or 2x(x²-5x+6)
Step-by-step explanation:
(p*q)(x) means p(x) and q(x) multiplied together.
(2x²-4x)(x-3)
2x³-6x²-4x²+12x
2x³-10x²+12x
You can also factor this by taking out a 2x.
2x(x²-5x+6)
Answer:
at least 450 minutes
Step-by-step explanation:
Find an expression for the cost of each plan as a function of the number of minutes. Set the expressions equal to each other, and solve for the number of minutes.
Let x = number of minutes.
First plan:
cost (in dollars) = 0.21x
Second plan:
cost (in dollars) = 0.11x + 44.95
Set the expressions equal:
0.21x = 0.11x + 44.95
Subtract 0.11x from both sides.
0.1x = 44.95
Divide both sides by 0.1
x = 44.95/0.1
x = 449.5
Since you cannot have a fraction of a minute, the answer is 450 minutes.
Answer:
x = 31/3
Step-by-step explanation:
4x+8+2x+20=90
4x+2x+8+20=90
4x+2x+8+20=90
6x+28=90
6x+28-28=90-28
6x=62
x = 31/3
3 men
4 women
7 total
3 men/ 7 total = 198 men/ x total
using cross products
3*x = 7 * 198
divide each side by 3
x = 7*198/3
x = 462
There are 462 workers
If you mean 3 men and 1 women for a total of 4 workers when you state a ratio of men and women in a certain factory is 3 to 4.
3/4 =198/x
Using cross products
3x = 4* 198
Divide each side by 3
3x/3 = 4*198/3
x =264
264 workers
It all depends on how you define ratio of men and women in a certain factory is 3 to 4. This is incorrect phrasing and I took it to be men to women. You cannot have a ratio of men and women.
