The prime cost of an article was four times the value of material used. The cost of raw materials was increased in the ratio 3 :
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The location of point Y is the point -3 on the number line
Here, we want to find the location of Y
let us say the point 0 represents the origin
The coordinates of point x will be (-9,0) while the coordinates of point z will be (3,0)
To find the location of Y , we proceed to use the midpoint formula as follows;
Thus, we have;
(-9 + 3)/2 , (0 + 0)/2
= -6/2 , 0
= (-3 , 0)
You did not give any choices but this can easily be solved using the FOIL method.
FOIL stands for First, Outside, Inside, Last.
In your equation you have (6x-2)(6x+2)
You will multiply the terms that correspond to each letter
First: Means first terms of each set. In this case 6x and 6x
6x x 6x =
Now you have your first term in the sequence.
Outside: Means terms found in the outside areas of the whole equation, in this case it is 6x and 2
6x x 2 = 12x Now this is the second term
Inside: Means terms found in the inside areas of the whole equation, in this case it is -2 and 6x
-2 x 6x = -12x Now this is your third term
Last: Means the last terms of each set. In this case it is -2 and 2
-2 x 2 = -4 This is your last term
Now you have what you need for your new equation:
Because your second and third terms are like terms, you can combine them by doing the operation indicated. 12x-12x = 0 so now you can cancel it out from your equation and your left with:
This is your product
FOIL stands for First, Outside, Inside, Last.
In your equation you have (6x-2)(6x+2)
You will multiply the terms that correspond to each letter
First: Means first terms of each set. In this case 6x and 6x
6x x 6x =
Outside: Means terms found in the outside areas of the whole equation, in this case it is 6x and 2
6x x 2 = 12x Now this is the second term
Inside: Means terms found in the inside areas of the whole equation, in this case it is -2 and 6x
-2 x 6x = -12x Now this is your third term
Last: Means the last terms of each set. In this case it is -2 and 2
-2 x 2 = -4 This is your last term
Now you have what you need for your new equation:
Because your second and third terms are like terms, you can combine them by doing the operation indicated. 12x-12x = 0 so now you can cancel it out from your equation and your left with: