Do not guess i have to answer this correctly! make sure you notice all the evaluate the expression for a = -1 and b = 5. show your work. 5a - 7b + b^2

5 a - 7 b + b ^ 2 = -15

Step-by-step explanation:

Evaluation of the expression for a = - 1 and b = 5.  

5 a - 7 b + b ^ 2,

Putting the values in expression,

= 5 a - 7 b + b ^ 2,

= 5 ( - 1 ) - 7 ( 5 ) + ( 5 ) ^ 2,

= - 5 -35 + 25,

= - 40 + 25,

= -15

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.