Answer:
2c(c - 3)(c - 8)
Step-by-step explanation:
Hello!
Factor:
- 2c³ - 22c² + 48c
- 2c(c² - 11c + 24)
Think: What two numbers multiply to 24, and add up to -11?
Answer: -8 and -3
Split up the -11c into -8c and -3c:
- 2c(c² - 8c - 3c + 24) (factor each pair)
- 2c( c(c - 8) - 3(c - 8))
- 2c(c - 3)(c - 8)
Answer:
Line A equation = y=-9/8x+69/4
Line B equation = y=-10/9x+131/9
Step-by-step explanation:
Answer:
26.2
Step-by-step explanation:
PQ/QR = 8/16 = 0.5
tan(26.6) = 0.5
<h3>
Answer: B. (-1, 0)</h3>
This point is below both the red diagonal line and the blue parabola. We know that the set of solution points is below both due to the "less than" parts of each inequality sign.
In contrast, a point like (2,2) is above the parabola which is why it is not a solution. It does not make the inequality 
true. So this is why we can rule choice A out.
Choice C is not a solution because (4,1) does not make 
true. This point is not below the red diagonal line. We can cross choice C off the list.
Choice D is similar to choice A, which is why we can rule it out as well.
Answer:
x=-6
Step-by-step explanation:
Let x be the number
3x = x^2 -54
Subtract 3x
3x-3x = x^2 -3x-54
0 = x^2 -3x-54
Factor
What 2 numbers multiply to -54 and add to -3
-9*6 = -54
-9+6 = -3
0=(x-9) (x+6)
Using the zero product property
x-9=0 x+6=0
x=9 x=-6
The questions asks for the negative solution
x=-6
