What is the constant rate of change of the ordered pairs?

x 1 3 5 7

y 2 10 18 26

Step-by-step explanation:

The constant rate of change of the ordered pairs can be termed as the slope.

Slope is expressed as m = Δy/Δx

m =

Using the coordinates when x₁ =1, y₁ = 2 and when x₂ = 3, y₂ = 10 according to the table.

Substituting this coordinates into the slope equation.

Hence the constant rate of change of the ordered pairs is 4

Note that no matter the value of the coordinates used, you will still get the same constant since they are directly proportional.

a: inscribed angles

step-by-step explanation:

i reviewed this question with a peer and teacher, seems to be correct, me later

the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

the root or roots of a polynomial are the values of the variable that makes the polynomial equal to 0. we can find the roots of a polynomial making the expression equal to 0 and then, isolating the variable (it it has just one variable).

for example, given the following polynomial:

the root or zero of the polynomial, can be found by making the expression equal to 0, and then, isolating the variable, so, finding the root we have:

therefore, we have that the root of the polynomial is equal to 2.

we must remember that the number of roots that a polynomial can have, will depend on the degree of the polynomial, a first degree polynomial have will have one single root, a second degree polynomial (quadratic expression) may have two roots and so.

hence the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

have a nice day!