Choose the correct vertex of the quadratic function f(x) = 3x2 - 2x - 1.

vertex is

Step-by-step explanation:

f(x) = 3x^2 - 2x - 1

Given equation is in the form of f(x) = ax^2 + bx+c

a=3 , b=-2 , c=-1

To find x coordinate of vertex we use formula x= -b/2a

To find y coordinate of vertex plug in -1/3 in the place of x in f(X)

f(x) = 3x^2 - 2x - 1

So vertex is

the answer is 0.3175 hope that you ^w^

also you might actually want to put this picture up if you want people to solve it luckily i remember this question

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.