Olga tried to solve an equation step by step. \begin{aligned} \dfrac14\left(\dfrac13k+9\right)&am p;=6 \dfrac13k+9&=24&\green{\tex t{Step } 1} \dfrac13k&=15&\blue{\text{S tep } 2} k&=5&\purple{\text{Step } 3} \end{aligned}
4
1
​
(
3
1
​
k+9)
3
1
​
k+9
3
1
​
k
k
​

=6
=24
=15
=5
​

Step 1
Step 2
Step 3
​

what are the things "represented below"?

step-by-step explanation:

nobody can if you dont give the choices

(1,4) is on graph of f(x)

f(1) = 4

so 1/4 f(x)

1/4 f(1)

1/4. ×4

1

so point for function 1/4. f(x) is (1,1)

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.