Answer:
887.74
Step-by-step explanation:
9514 1404 393
Answer:
- rewrite: 2x^2 +5x +20x +50
- factored: (x +10)(2x +5)
Step-by-step explanation:
I find this approach the most straightforward of the various ways that trinomial factoring is explained or diagramed.
You want two factors of "ac" that have a total of "b". Here, that means you want factors of 2·50 = 100 that have a total of 25. It is helpful to know your times tables.
100 = 1·100 = 2·50 = 4·25 = 5·20 = 10·10
The sums of these factor pairs are 101, 52, 29, 25, and 20. We want the pair with a sum of 25, so that's 5 and 20.
The trinomial can be rewritten using these factors as ...
2x^2 +5x +20x +50
Then it can be factored by grouping consecutive pairs:
(2x^2 +5x) +(20x +50) = x(2x +5) +10(2x +5) = (x +10)(2x +5)
_____
<em>Additional comment</em>
It doesn't matter which of the factors of the pair you write first. If our rewrite were ...
2x^2 +20x +5x +50
Then the grouping and factoring would be (2x^2 +20x) +(5x +50)
= 2x(x +10) +5(x +10) = (2x +5)(x +10) . . . . . same factoring
Answer:
Step-by-step explanation:
5.577
A business rents in-line skates and bicycles.
During one day the business has a total of 26 rentals and;
Collects $485 for the rentals.
In-line skates are rented for $10 per day and;
Bicycles are rented for $35 per day.
<u>Solution:</u>
Let the number of in-line skates rented be x and;
The number of bicycles rented be y.
x + y = 26 ... (i)
10x + 35y = 485 ... (ii)
This forms a system of linear equations (i) and (ii)
Solving this system by elimination;
We multiply (i) by 10 and (ii) by 1
10x + 10y = 260 ... (i)
10x +35y = 485 ... (ii)
Subtracting (ii) - (i) gives;
25y = 225 , y = 225/25 = 9
x = 26 - 9 = 17
The number of in-line skates rented were 17.
The number of bicycles rented were 9.
Answer:
ambot nimo sa imong kabaw