Answer:
x²+14x+24 = (x+2)(x+12)
Step-by-step explanation:
We need to factorize the given expression i.e. x²+14x+24.
We find two integers such that their sum is 14 and product is 24.
x²+14x+24 = x²+12x+2x+24
=x(x+12)+2(x+12)
= (x+2)(x+12)
Hence, the factors of the given expression is (x+2)(x+12).
Solution:
Given:
The marble has 2 outcomes (blue and pink)
The die has 6 outcomes (1,2,3,4,5, and 6)
The spinner has 2 outcomes (u and v)
The total possible outcomes are;
Hence, there are 10 possible outcomes.
Answer:
=
8000
$
Explanation:
Total Loss
=
9000
+
10000
+
17000
=
36000
Total Gain
=
16000
+
12000
=
28000
Therefore to cover up the loss it has to gain
36000
−
28000
=
8000
$
Step-by-step explanation: socratic
Answer:
(0, -4)
Step-by-step explanation:
We can just substitute the y's like this: 2x - 4 = -2x - 4
Move like terms to one side by adding 2x to both sides
2x - 4 = -2x - 4
+ 2x + 2x
4x - 4 = - 4
Add 4 to both sides
4x - 4 = - 4
+ 4 + 4
4x = 0
Divide both sides by 4
4x/4 = 0/4
x = 0
Plug in the new x into one of the original equations
y = 2(0) - 4
y = 0 - 4
y = - 4
