Enter a positive value for q that makes this statement true: 12xq is greater than 12 but less than 24.​

Given

and are positive integers: ,

Statement 1

is an integer => , k is a positve integer as

Substituting in , we obtain .

As , dividing both sides by, we obtain .

can be , and for , and .

As can not be determined uniquely, statement (1) is not sufficient(A), (D)

Given,

and are positive integers: ,

Statement 1

is an integer => , k is a positve integer as

Substituting in , we obtain .

As , dividing both sides by, we obtain .

can be , and for , and .

As can not be determined uniquely, statement (1) is not sufficient(A), (D)

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl