Consider the two expressions 4b(b+1) and (2b+7)(2b-8). compare their values if b=-3, b=-2, and if b=10. is it true that for an value of b the value of the first expression is greater than the value of the second expresiion? plz quick.

FIRST EXPRESSION:

-  If , the value of is  

-  If , the value of is  

- If , the value of is  

 SECOND EXPRESSION:

-  If , the value of is  

-  If , the value of is  

- If , the value of is  

Yes, for any value of "b" the value of the first expression is greater than the value of the second expression.

Step-by-step explanation:

Substitute the given values of "b" into each expression and evaluate.

- For the first expression , you get:

If →

If →

 If →

 - For the second expression , you get:

If →

If →

 If →

You can observe that for any value of "b" the value of the first expression is greater than the value of the second expression.

i cant see the graph

step-by-step explanation:

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