Rowan wants to justify that f(x) 3x-7 is a linear function. if she evaluates f(x) for consecutive integer values, which statement justices the claim that f is a linear function?
a. there is a common difference of -7 for f(x) when x increase by 1
b. there is a common factor of -7 for f(x) when x increase by 1
c. there is a common different of 3 for f(x) when x increase by 1
d. there is a common factor of 3 for f(x) when x increase by 1

C. there is a common difference of 3 for f(x) when x increases by 1

Step-by-step explanation:

As 3 is the slope of this function, there will be a common difference of 3 when x increases by 1.

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".

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation: