Which number produces a rational number when added to 0.6?

a. 0.
b. square root of 2
c. pie
d. 5/7 (fraction)

Correct option is D.

Step-by-step explanation:

we have to choose the option for which number produces a rational number when added to 0.6

A rational number is an algebraic term expressed as a fraction. The fraction can also be in decimals but only if the decimal places are not repeating or finite(infinite then repeating). If they aren't, then these are called irrational numbers.

Let's try each of the choices:

A. The term 0.5050050005... is irrational number. Now, when 0.6  is added to it, the sum would be irrational.

B. √2 is an irrational number because its exact value is 1.4142135.. Even if you add 0.3 to it, the answer would still be irrational

C. Obviously, π is an irrational number and addition of rational to irrational always results in irrational.

D. The term is a rational number. Now, when 0.6 or is added to it, the sum would be This is a rational number.

Therefore, the answer is D.

unless if u could do my questions, if not i wouldn't want to

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.