Answer:
3
Step-by-step explanation:
.........................
The values of x are 2 and -1.
Solving the equation created by substitution listed in the question:
-2x+14=x²-3x+12
Add 2x to both sides:
-2x+14+2x=x²-3x+12+2x
14=x²-1x+12
Subtract 14 from both sides:
14-14=x²-1x+12-14
0=x²-1x-2
Factoring this, we want factors of -2 that sum to -1; -2(1) = -2 and -2+1=-1:
0=(x-2)(x+1)
Using the zero product property, we know that either x-2=0 or x+1=0:
x-2=0
x-2+2=0+2
x=2
x+1=0
x+1-1=0-1
x=-1
Step-by-step explanation:
m1.m2= -1
(4y = -2x -9)= (y = -1x/2 -9/4)
-1/2.m2= -1
m2 = 2
formula = y - y1 = m2 ( x - x1)
y - 10 = 2 ( x - (-7))
y - 10 = 2x + 14
y = 2x + 24
The amount of in pound of tomatoes purchased is
To obtain the number of pounds of tomatoes purchased :
- Let the price per pound of tomato = p
The Number of tomatoes purchased equals :
- Total amount spent ÷ price per pound
Therefore, the Number of tomatoes purchased will be :
The Number of pounds of tomatoes purchased =
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Answer:
(2n+6)^2
Step-by-step explanation:
To solve this, you can use the given formula: x^2 + 2xy + y^2
In this case, 4n^2 is x^2, 24n is 2xy, and 36 is y^2. The next step is:
(2n)^2 + 2(2n)(6) + (6)^2
Since this equation fits into this formula ( x^2 + 2xy + y^2), we can do:
(2n+6)(2n+6) =
(2n+6)^2
Hence, the answer is (2n+6)^2