Which equation represents an exponential function that passes through the point (2, 36)?

f(x) = 4(3)x

f(x) = 4(x)3

f(x) = 6(3)x

f(x) = 6(x)3

The exponential function that passes through (2,36) is:

.

Step-by-step explanation:

We are asked to find which function passes through the point (2,36).

i.e. we will put the input value '2' in the following given functions and check which gives the output value as '36'.

1)

now we put x=2.

hence option 1 is correct.

2)

Now we put x=2.

Hence, option 2 is incorrect.

3)

Now we put x=2

Hence, option 3 is incorrect.

4)

Now we put x=2.

Hence, option 4 is incorrect.

Hence, option 1) is correct.

i.e. The exponential function that passes through (2,36) is:

Option A. is the answer.

Step-by-step explanation:

In this question we can get the correct option by plugging in the coordinates of point (2, 36) in the functions given in all options.

Option A.

For (2, 36),

36 = 4×9

36 = 36

It's true so the function passes through the point (2, 36).

Option B.

For, (2, 36)

36 = 4×8

36 = 32

Which is not true.

Therefore, option B is not the answer.

Option C.

For(2, 36)

36 = 6×9

36 = 54

It's not true.

Therefore, option C is not the nswer.

Option D.

For (2, 36),

36 = 6×9

36 = 54

Which is not true.

Therefore, option D is not the answer.

step-by-step explanation: the declaration of the rights of man and of the citizen (french: déclaration des droits de l'homme et du citoyen de 1789), set by france's national constituent assembly in 1789, is a human civil rights document from the french revolution.[1]

the declaration was drafted by the abbé sieyès and the marquis de lafayette, in consultation with thomas jefferson.[2] influenced by the doctrine of "natural right", the rights of man are held to be universal: valid at all times and in every place, pertaining to human nature itself. it became the basis for a nation of free individuals protected equally by the law. it is included in the beginning of the constitutions of both the fourth french republic (1946) and fifth republic (1958) and is still current. inspired by the enlightenment philosophers, the declaration was a core statement of the values of the french revolution and had a major impact on the development of freedom and democracy in europe and worldwide.[3]

the 1789 declaration, together with the 1215 magna carta, the 1689 english bill of rights (1689), the 1776 united states declaration of independence, and the 1789 united states bill of rights, inspired in large part the 1948 united nations universal declaration of human rights

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.