I need help please. Trying to get my HS diploma. I did not graduate :(

Mathematics

1 answer:

artcher [175]2 years ago

8 0

Answer:

B. I, II, and III

Step-by-step explanation:

A function is continuous if it is defined everywhere and its graph can be drawn without lifting the pencil. That is, at every point, the limit from the left and the limit from the right must equal each other and the function definition at the point.

<h3>Looking at choices</h3>

All polynomial functions with real coefficients are continuous everywhere. (Choices I and II.) They have no discontinuities.

Rational functions will have a discontinuity wherever the denominator is zero. Here, the one rational function has a denominator of x^2+1, which is always positive (never zero). The given rational function is continuous everywhere (Choice III.)

All of the functions in the problem statement are continuous: I, II, and III.

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3 years ago

Which of the sets of three dimensions could make a right triangle

hodyreva [135]

Answer:

B) 6, 8, 10

Step-by-step explanation:

All right triangles will follow the following theorem (Pythagorean theorem):

$a^2+b^2=c^2$ , where $a$ and $b$ are two legs of the triangle and $c$ is the hypotenuse. Out of all answer choices, only B) 6, 8, 10 follow this theorem.