During the economic downturn in 2008, the price of a stock, A(x), over an 18-month period decreased and then increased according to the equation A(x) = 0.70x^2 - 6x + 15, where x equals the number of months. The price of another stock, B(x), increased according to the equation B(x) = 2.75x + 1.50 over the same 18-month period. State all
prices, to the nearest dollar, when both stock values were the same.

The first time both stock prices were the same they cost approximatley $ 1.803 .00.

The second
time both stock prices were the same they cost approximatley $ 30.917.00.

46 dollars is the answer.

step-by-step explanation:

6*6 = 36,         36+10=46

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.