Answer:
x = -8
y = 9
Step-by-step explanation:
to solve this expression using simultaneous equation, we would say let
y =9............................................. equation 1
6x + 5y =-3............................................equation 2
substitute equation 1 into equation 2
-3 = 6x + 5y............................................equation 2
6x + 5(9) = -3
6x + 45 = -3
collect the like terms
6x = -3-45
6x = -48
divide both sides by the coefficient of x which is 6
6x/6 = -48/6
x = -8
therefore y = 9
x = -8
X² + y² - 8x - 12y + 52 = 36
x² - 8x + y² - 12y + 52 = 36
x² - 8x + y² - 12y = 88
(x² - 8x + 16) + (y² - 12y + 36) = 88 + 16 + 36
(x - 4)² + (y - 6)² = 138
(h, k) = (x, y) = (4, 6)
Answer:
Step-by-step explanation:
Okay, so hopefully my crude diagram helps you visualize the problem. When in doubt, always draw a picture.
All I did was graph the points and formed a line.
Slope: It's going to be 0 because it doesn't change at all (no different y values)
(y2-y1)/(x2-x1) = (6-6) / (4-2) = 0/2 = 0
Y intercept is where the line crosses the y axis- this is also where x=0 (find it in your chart!)
Equation is y= 6; I don't know how to explain this, but trust me, it's right
(a) The profit when the company sold 1000 pens is -1000.
(b) The number of pens that are required to sell in the break-even is 1167.
(a)
The profit when the company sold 1000 pens is
P = R - C
= 9x - (3x + 7000)
= (9 × 1000) - (3 × 1000 + 7000)
= 9000 - (3000 + 7000)
= 9000 - 10000
= -1000
(b)
The number of pens that are required to sell in the break-even is
R = C
9x = 3x + 7000
9x - 3x = 7000
6x = 7000
x = 1167
Therefore we can conclude that:
(a) The profit when the company sold 1000 pens is -1000.
(b) The number of pens that are required to sell in the break-even is 1167.
Learn more: brainly.com/question/15036999
