Factor the following:
12 x^4 - 42 x^3 - 90 x^2
Factor 6 x^2 out of 12 x^4 - 42 x^3 - 90 x^2:
6 x^2 (2 x^2 - 7 x - 15)
Factor the quadratic 2 x^2 - 7 x - 15. The coefficient of x^2 is 2 and the constant term is -15. The product of 2 and -15 is -30. The factors of -30 which sum to -7 are 3 and -10. So 2 x^2 - 7 x - 15 = 2 x^2 - 10 x + 3 x - 15 = x (2 x + 3) - 5 (2 x + 3):
6 x^2 x (2 x + 3) - 5 (2 x + 3)
Factor 2 x + 3 from x (2 x + 3) - 5 (2 x + 3):
Answer: 6 x^2 (2 x + 3) (x - 5)
Answer:
The solution is x=3 , y=-4 or (3,-4)
Step-by-step explanation:
Given equations (1 and 2) are:

To solve a system of equation with elimination method, the co-efficients of one of the variables has to be equated and then the equations are added or subtracted to get an equation in one variable.
Multiplying equation 1 by 2:

Multiplying equation 2 by 3

Adding equation 3 and 4

Putting y = -4 in equation 1

Hence,
The solution is x=3 , y=-4 or (3,-4)
I believe the answer would be 13.75 but i’m not completely sure on this so correct me if i’m wrong
2/6 is equal to 4/12 and 3/4 is equal to 9/12 so 3/4 is larger
Answer:

Step-by-step explanation:
Given that Lincoln has
pennies and
nickles and that his total worth is $0,
we can express his total using the inequality:

Where the sum of n and p is his total
Hence, Lincoln's situation is expressed as p+n=0