Answer:
1. (n + 3)(5n + 8)
2. (x - 4)(7x - 4)
3. (k + 8)(7k + 1)
Step-by-step explanation:
1. We have to factorize 5n² + 23n + 24.
Now, 5n² + 23n + 24
= 5n² + 15n + 8n + 24
= 5n (n + 3) + 8 (n + 3)
=(n + 3)(5n + 8) (Answer)
2. We have to factorize 7x² - 32x + 16
Now, 7x² - 32x + 16
= 7x² - 28x - 4x + 16
= 7x (x - 4) - 4 (x - 4)
= (x - 4)(7x - 4) (Answer)
3. We have to factorize 7k² + 57k + 8
Now, 7k² + 57k + 8
= 7k² + 56k + k + 8
= 7k (k + 8) + 1 (k + 8)
= (k + 8)(7k + 1) (Answer)
Answer:
There are many ways to interpret if whether or not a system of equations has solutions or not. Here is one way that is most ideal for most, if not, all equations: using graphs.
- If the graphs of the set of equations do NOT intersect, then there are no solutions (because no x or y value will ever make both equations true)
- If the graphs of the set of equations DO intersect at one point, then ONLY that one point will make both equations true. (One solution)
- If the graphs of the set of equations are identical on the graph, then there are infinite solutions that make both equations true.
Answer:
3x^(2)+6x+4
Step-by-step explanation:
First you need to put the equation into slope form which is y = mx + b
-3x + 2y = 2
2y = 3x + 2
y = 1.5x + 1
In this equation the y-intercept is 1 and the slope is 1.5 or 3/2.
To graph the line you can start at the y-intercept then move up 3 and to the right 2 or down 3 and to the left 2.
Three points are (2, 4) , (-2 ,-2), (4, 7).
Hope this helps! Mark as Brainliest please! :)))
Not entirely sure about question a... but b would be (lol) 27
Violas Trombones
1 3
2 6
3 9
4 12
5 15
6 18
7 21
8 24
9 27 trombones in all
