Under her cell phone plan, Sofia pays a flat cost of $54.50 per month and $4 per gigabyte. She wants to keep her bill at $73.70 per month. Which equation or tape diagram could be used to represent the context if g represents the number of gigabytes of data Sofia can use while staying within her budget? A 54.5g 4 54.5 54-5 54.5 73.7 B. 73.7 = 54.59 +4 С 4(9 + 54.5) = 73.7 D 54.5 4. 4 4 73.2​

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

its kind of blurry. can you put a clearer pic?

step-by-step explanation:

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.