MATHEMATICS HIGH SCHOOL

Could anyone please help me with this for Calculus AB? I'm not entirely sure if the answer I put down is correct or not; I got some funky graphs for it though.

Answers

Answer 1

Answer:

Hi there! :)

C. has both jump and infinite discontinuity.

Evaluate both piecewise functions at x = 1;

1 / (x + 1) = 1 / ((1) + 1) = 1/2

2x - 1 = 2(1) - 1 = 1

As the piecewise functions contain different y-values when evaluated at

x = 1, there is a jump discontinuity at x = 1.

However, the first function also contains a vertical asymptote or infinite discontinuity where it is undefined, or at x = -1. (1 / 0 = undefined). This means that the function also contains an infinite discontinuity.

Therefore, the correct choice is:

C. has both jump and infinite discontinuity.

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Which of the following Platonic solids is also a pyramid? A. tetrahedron B. Hexahedron C. octahedron D. Icosahedron E. dodecahedron F. None of These

Answers

Tetrahedron is a Platonic solids which is also a pyramid, i.e. Option (A).

What is pyramid?

Pyramid is a three dimensional shape. Pyramid is a polyhedron formed by connecting a polygonal base and a point. A triangular pyramid is also called a tetrahedron.

A tetrahedron is known as a triangular pyramid in geometry. The tetrahedron consists of 4 triangular faces, 6 straight edges, and 4 vertex corners. It is a platonic solid which has a three-dimensional shape with all faces as triangles.

So,

As mentioned in the above definition "A triangular pyramid is also called a tetrahedron."

Hence, we can say that Tetrahedron is a Platonic solids which is also a pyramid, i.e. Option (A).

To know more about pyramid click here

brainly.com/question/17615619

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tetrahedron - its the only one that has a base from which all edges meet at a single point.

An arts academy requires there to be 4 teachers for every 100 students and 5 tutors for every 60 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 144 standents?