The ordered pairs in the table below represent a linear function.
x y
2 3
5 9

what is the slope of the function?

a.1/4
b.1/2
c.2
d.4

Option C. slope = 2 is the answer.

Step-by-step explanation:

The ordered pairs in the table are (2, 3) and (5, 9). These ordered pairs represent a linear function.

We have to calculate the slope of the line passing through these two points.

Since slope of a line passing through two points is defined as

Now we put the values of x and y coordinates of the given points.

Therefore slope of the line passing through (2, 3) and (5, 9) is 2.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

t = 3

step-by-step explanation:

put t = 3 in this expression :

(3²-1)(3²-2)(3² - 3)(3² - 4) = 8×7×6×5 = 56×30 = 1680