Hello,
Number of solutions=3
x³-2x²-5x+6=x³-x²-x²+x-6x+6=x²(x-1)-x(x-1)-6(x-1)=(x-1)(x²-x-6)
=(x-1)(x²-3x+2x-6)=(x-1)(x(x-3)+2(x-3))
=(x-1)(x-3)(x+2)
Sol={1,3,-2}
Answer:
10
Step-by-step explanation:
9514 1404 393
Answer:
Step-by-step explanation:
For the GCF to be 6, terms of the polynomial must be multiples of 6, but must have no other common factors. A simple polynomial that meets this requirements is ...
6a +12b
One equivalent form can be had by factoring 6 from the terms:
6(a +2b)
Since 6 has a factorization of its own, another equivalent form can be had by factoring out one of the factors of 6. The ones of interest are 2 and 3, so we can write ...
2(3a +6b)
or ...
3(2a +4b)
Answer:
The quantity of coffee costing $4 a pound in the coffee mixture is 2 pounds.
Step-by-step explanation:
Given: Coffee costing $4 a pound is mixed with 3 pounds of coffee costing 4.50 a pound to obtain a mixture costing $4.30 a pound.
We have to find the quantity of coffee costing $4 a pound in the mixture.
Let x represent the number of pounds of $4 coffee.
Cost of one pound = 4x.
Cost of 3 pounds of coffee costing 4.50 a pound = 3(4.50)
Cost of mixture costing $4.30 a pound = (x+3)(4.30)
According to given problem,
Solving for x, we get,
Rearranging like term together, we get,
Thus, the quantity of coffee costing $4 a pound in the coffee mixture is 2 pounds.
The graph would look like the picture above.
Rise 3, Run 1