The table shows values for functions f(x) and g(x) . x f(x)=0.5x g(x)=−0.5x+1 −2 4 2 −1 2 32 0 1 1 1 12 12 2 14 0 what is the solution to f(x)=g(x) ? select each correct answer. x=−2 x=−1 x = 0 x = 1 x = 2

We have been given a table having three columns for x, f(x) and g(x)

Values given in table doesn't match with values for given function f(x)=0.5x and g(x)=-0.5x+1

like if you plug x=2 then

f(2)=0.5x=0.5*2=1 while table shows value 1.

So I will give you general idea about how to solve this type of problem.

If only table is given for f(x) and g(x) then we will look for the x-value for which both f(x) and g(x) are same.

Like in given table we see that when x=1, then f(x)=g(x)=12

Hence solution will be x=1.

If only equations are given like f(x)=0.5x and g(x)=-0.5x+1

then we set each, equal to solve the equation and find x

f(x)=g(x)

0.5x =-0.5x+1

0.5x +0.5x =1

1x=1

x=1

Hence final answer is x=1

d is the correct answer

step-by-step explanation:

x= 8 because 3x = 3 * 8, and 3*8 = 24

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.