What function has a range of y<5

{y|y ≤ 5}. It means the maximum value of the function is 5. It is possible if the vertex of a downward parabola is in the form of (h,5).

Step-by-step explanation:

The correct option is 2.

Step-by-step explanation:

The range of a parabola is {y|y ≤ 5}.

It means the maximum value of the function is 5. It is possible if the vertex of a downward parabola is in the form of (h,5).

The vertex form of a parabola is

Where, (h,k) is vertex and a is a constant.

If a<0, then f(x) is a down ward parabola and if a>0, then f(x) is an upward parabola.

In option 1,

It is an upward parabola with vertex (4,5), therefore the range of the function is {y|y ≥ 5}. Option 1 is incorrect.

In option 2,

It is a downward parabola with vertex (4,5), therefore the range of the function is {y|y ≤ 5}. Option 2 is correct.

In option 3,

It is an upward parabola with vertex (5,4), therefore the range of the function is {y|y ≥ 4}. Option 3 is incorrect.

In option 4,

It is a downward parabola with vertex (5,4), therefore the range of the function is {y|y ≤ 4}. Option 4 is incorrect.

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".

$25

step-by-step explanation:

25 - 4.50 = 20.5

20.5 / 2 = 10.25

10.25 + 10 = 20.25

20.25 - 12.50 = 7.75

therefore the answer is $25 as shown as the first number.