(04.07)
which of the following exponential functions goes through the points (1, 6) and (2, 12)? (2 points)

f(x) = 3(2)x
f(x) = 2(3)x
f(x) = 3(2)−x
f(x) = 2(3)−x

The correct option is 1.

Step-by-step explanation:

If the exponential function passing through a point  it means the points satisfies the function.

If the exponential functions goes through the points (1, 6) and (2, 12). It means the value of the function at x=1 is 6 and the value of the function at x=2 is 12.

The first function is

Put x=1

Put x=2

Both points are satisfied by this function therefore the correct option is 1.

The second function is

Put x=1

Put x=2

This equation does not satisfy the second point therefore the option 2 is incorrect.

Since the power is in negative, therefore at x=2 the value of function is in the fraction form, therefore options 3 and 4 are incorrect.

last option

step-by-step explanation:

given that δdef is right and isoceles,

assuming that side df is the hypotenuse means that de an ef are the other 2 sides that intersect at 90° and are of equal length.

because they are of equal length, we can say that they are congruent

because they intersect at 90°, their slopes must be opposite reciprocals.

only the last option satisfies these conditions.

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".