This table shows input and output values for a linear function f(x). what is the difference of outputs for any two inputs that are one value apart? x f(x) -3 -57.6 -2 -36.4 -1 -15.2 0 6 1 27.2 2 48.4 a) -5 b) 1 c) 21.2 d) 27.2

C

Step-by-step explanation:

This question asks us to find the difference in output or y values or consecutive x-values (values 1 unit away from each other). This is just a rate of change or slope. We will use the slope formula:

Slope:

We substitute and

Answer C.

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°

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".