The answer is: [C]: "no solution" .
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Given: 3y = 3/2 x + 6 ; Multiply each side by "2" ; to get rid of the fraction
2 * { 3y = 3/2 x + 6 } ; to get: 6y = 3x + 12
Given: 1/2 y –1/4 x = 3 ; Multiply EACH SIDE by "4" ; to get rid of the fraction ;
4 * { 1/2 y – 1/4 x = 3 } ; to get: 2y – x = 12 ;
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So we have:
6y = 3x + 12 ;
2y – x = 12 ;
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Multiply BOTH side of the "second equation" by "-1" ;
-1 * { 2y – x = 12 } ;
to get : x – 2y = -12 ;
Now, add "2y" to each side of the equation;
to isolate "x" on one side of the equation; & to solve for "x" ;
x – 2y + 2y = -12 + 2y ;
to get: x = 2y – 12 ;
Now, consider the "first equation" ;
6y = 3x + 12 ;
Divide EACH SIDE of this equation by "3" ;
6y / 3 = (3x + 12) / 3 ;
to get: 2y = x + 4 ;
Divide EACH SIDE of the equation by "2" ;
2y/ 2 = ( x + 4) /2 ;
to get: y = (x + 4) / 2 ;
Now plug in our calculated value for "x" ; which is:
" x = 2y – 12 " ; for the "x" values
y = [ (2y – 12)] + 4)] / 2 ;
y = (2y – 8 )/ 2
2y = 2y – 8 ??? ;;
The answer is: [C]: "no solution" .
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Its 8p3.....................
when you find x-intercept, you are finding the coordinate when y=0, hence sub y=0,
-8x-16=0
8x=-16
x=-2
Answer:
Price = $4.50
Maximum revenue = $2,430
Step-by-step explanation:
The concession stand sells 600 bags of peanut at $4.00 (600, $4.00).
If there is a $1 increase in price, the number of bags old will decrease by 120, which mens that 480 bags of peanuts will be sold at $5.00 (480, $5.00).
Tracing a linear relationship between price and quantity sold with the two given points:


The revenue function is given by the price multiplied by the quantity sold:

The value of 'Q' for which the derivate of the revenue function is zero, is the output level for which revenue is maximum:

The total revenue of 540 units at $4.50 per unit is:

Answer:
14/3
Step-by-step explanation:
When 56 shares are evenly distributed between 12 people, each person gets equal number of shares.
The number of shares gotten by each person is the ratio of the total number of shares to the total number of people. It is given by the formula:
number of shares gotten by each person = total number of shares / total number of people
number of shares gotten by each person = 56 shares / 12 people
number of shares gotten by each person = 14/3 shares