Zane is determining whether the given value of the variable is a solution of the equation. 13 + h = 21 for h = 9 What steps should Zane take? Check all that apply.

See explanation

Step-by-step explanation:

Solution:-

- There are two ways to verify whether the value of ( h ) assumed to be equal to 9 satisfies the given equation:

                           13 + h = 21

First method: Solving for ( h ) using the given equation

  1 ) Subtract ( 13 ) on both sides of the equation:

                           13 - 13 + h = 21 - 13

                            0 + h = 8

                            h = 8                

  2 ) Compare the evaluated value of ( h ) with the assumed value:

                            8 ≠ 9    

  3 ) Conclude: The given value of ( h ) is not a solution of the given equation.

 Second method: Plug and compare

   1) Plug the assumed value of h = 9 into the given equation:

                           13 + ( 9 ) = 21

                               22 = 21

   2) For the equality to be true then the both right and left hand side of the " = " must be of same numerical value:

                               22 ≠ 21

  3) Conclude: The given value of ( h ) is not a solution of the given equation.

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.