Let () = x + 6 and () = 5x − 2. Find the solution to the equation () = () by sketching the functions.

f(x) = g(x) at x=2.

Step-by-step explanation:

We have, f(x) = x + 6 & g(x) = 5x - 2. Let's sketch graph step by step :

for f(x):

f(x)= x is a straight line passing through origin. Then , shift graph by 6 units in right so it be comes f(x) = x + 6  .

For g(x) :

g(x) =  x is a straight line passing through origin. Then , expansion of graph by 5 units so it becomes g(x) = 5x . Then , shift the graph by 2 units to left so final equation becomes g(x) = 5x - 2.

Now, on comparing graph of both f(x) & g(x) we see that f(x) cuts g(x) at one and only point at x = 2. Also, for x = 2 , f(x) = g(x). ∴f(x) = g(x) at x=2.

ur mom gae no homo

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".