An electronics company kept comparative statistics on two products, a and b. for years 0 to 8, the total number of product a ever sold (in thousands) is given by the function a(x) = 74x + 250, where x is the number of years since year 0. for that same period, the total number of product b ever sold (in thousands) is given by the function b(x) = -30x + 434, where x is the number of years since year 0. find and interpret a(1.8) and b(1.8).

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.

4+4+2x

or

2x+8

step-by-step explanation:

10+4√2 is the answer. i dont have the time to explain.

large crystals result from very slow cooling.

evaporation of water: this would produce an evaporite which is a sedimentary rock. like a salt pan in a desert. not possible to have volcanic rocks originate this way.

crystalization in molten earth: slow cooling over time. (hundreds to millions of years)

crystalization at earth's surface: this results in fast cooling. (a few hours to a few months or years)

crystalization from cooling off hot water: that would be a hydrothermal deposit. while associated with volcanics they are not volcanic rocks themselves and usually occur fairly rapidly.