Which statement is true about the equation 4.5z = 4.5z − 6.25 + 6.25?

a.) it has no solution.
b.) it has one solution.
c.) it has two solutions.
d.) it has infinitely many solutions.

D.It has infinite many solutions

Step-by-step explanation:

We are given that an equation

We have to find true statement about the equation.

Subtraction property of equality

Combine like terms

By simplification

It is a condition of infinite solution.

Hence, the equation has infinitely many solutions.

D.It has infinite many solutions.

828. all there is to it!

here, if you ever need with rounding (or other forms of arithmetic/math) again, use this:

thats the rounding one, but if you just click the top left, it shows you all the calculators you may need!

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1