Answer:
(1,-7)
Step-by-step explanation:
y= -9x + 2.............equn(1)
y= -3x - 4..........................(2)
subtract equation (1) from equn. (2)
0= -6x + 6
subtract 6 from both sides
0-6= -6x + 6-6
-6 = -6x
divide via by -6
-6/-6 = -6x/-6
x=1
to solve for y, put x in any equation
equation (1)
y=-9x+2
y=-9(1)+2
y=-9+2
y= -7
The C(x) equation is a parabola with a squared "x" and a positive leading term coefficient, meaning, is a vertical parabola and it opens upwards
the lowest point, or lowest cost value, it reaches, is the U-turn point, or vertex
![\bf \textit{ vertex of a vertical parabola, using coefficients}\\\\ \begin{array}{llccll} y = &{{ 1}}x^2&{{ -320}}x&{{ +40052}}\\ &\uparrow &\uparrow &\uparrow \\ &a&b&c \end{array}\qquad \left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right)](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7B%20vertex%20of%20a%20vertical%20parabola%2C%20using%20coefficients%7D%5C%5C%5C%5C%0A%5Cbegin%7Barray%7D%7Bllccll%7D%0Ay%20%3D%20%26%7B%7B%201%7D%7Dx%5E2%26%7B%7B%20-320%7D%7Dx%26%7B%7B%20%2B40052%7D%7D%5C%5C%0A%26%5Cuparrow%20%26%5Cuparrow%20%26%5Cuparrow%20%5C%5C%0A%26a%26b%26c%0A%5Cend%7Barray%7D%5Cqquad%20%0A%5Cleft%28-%5Ccfrac%7B%7B%7B%20b%7D%7D%7D%7B2%7B%7B%20a%7D%7D%7D%5Cquad%20%2C%5Cquad%20%20%7B%7B%20c%7D%7D-%5Ccfrac%7B%7B%7B%20b%7D%7D%5E2%7D%7B4%7B%7B%20a%7D%7D%7D%5Cright%29)
so, the lowest cost is at
Answer:
(an -a1)/d +1 = n
Step-by-step explanation:
Undo what is done to n, in reverse order. When evaluating this expression, you ...
- subtract 1 from n
- multiply the difference by d
- add a1
When you undo these, you get ...
... an -a1 = d(n-1) . . . . . . subtract a1
... (an -a1)/d = n - 1 . . . . divide by d
... (an -a1)/d +1 = n . . . . add 1
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<em>Comment on answer list</em>
Please note the use of parentheses in the answer here. These identify that the difference (an -a1) is what is divided by d. None of the offered answers has these parentheses, nor are they typeset in a way that would indicate the intent to divide (an -a1) by d. As given, none of the offered answers is correct.