A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out the maximum amount of profit the company can make, to the nearest dollar. y=-13x^2+770x-6332

The maximum profit is 5070 dollars

Step-by-step explanation:

The profit y is represented by a quadratic function.

The equation that we can use to find a maximum value of a quadratic function is:

Max_value = c - (b^2 / 4a)

Where a, b and c are the coefficients of the quadratic function (in our case: a = -13, b = 770, c = -6332)

So, using this equation, we have:

Max_value = -6332 - (770^2 / 4*(-13)) = -6332 - 592900/(-52)

Max_value = -6332 + 11401.92 = 5069.92

rounding to the nearest dollar, we have that the maximum profit is 5070 dollars.

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

$25

step-by-step explanation:

25 - 4.50 = 20.5

20.5 / 2 = 10.25

10.25 + 10 = 20.25

20.25 - 12.50 = 7.75

therefore the answer is $25 as shown as the first number.