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# Mathematics - Other

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1.Factor the trinomial

Type N if the trinomial is not factorable

2.Multiply

3.If a pro basketball player has a vertical leap of about 20 inches, what is his hang time? Use the hang-time function V=
The hang time is ----seconds (Simplify your answer. Type an integer or a decimal. Round to nearest tenth)

4.If the sides of a square are lengthened by 7cm, the area becomes . Find the length of a side of the original square. The length of the original square is ...cm

5.Simplify by removing factor of 1.

6.Factor completely

Type N if the expression is not factorable

7.Solve

Use a comma to separate answers. Type N if the solution is not a real number

8.Find the vertex, the line of symmetry, and the maximum or minimum value of f(x). Graph the function

(a)The vertex is (type an ordered pair
(b) The line of symmetry is
(c) What is the maximum/minimum value of f(x)
(d) Is the value, f (-8) =1 a minimum or maximum

10.Simplify by factoring. Assume that all expressions under radicals represent nonnegative numbers.

11.Convert to decimal notation

12.Jack usually mows is laws in 3 hours. Marilyn can mow the same yard in 5 hours. How much time would it take for them to mow the lawn together?

13.Express using a positive exponent.

16.Solve

Simplify your answer. Type an exact answer, using radicals as needed. Rationalize all denominators. Use a comma to separate answers as needed. Type N if there is no solution

17.Factor.

Type N if the trinomial is not factorable.

18.Factor Completely

Type N if the binomial is not factorable

19. Solve

Use at least one equality or compound inequality to express your answer. For answers with more than one equality, separate the inequalities by a comma or word. Type R if the answer is all real numbers. Type N if there is no solution.

20.Solve.

21.Find the following

Simplify your answer. Type N if the root is not a real number.

22.

23.Find the following. Assume that variables can represent any real number.

24.Perform the indicated operations and simplify.

25.Divide and simplify

Type exponential notation using positive exponents

26.Use the quadratic formula to solve the equation

Simplify your answer. Type an exact answer, using radicals as needed. Express complex numbers in terms of . Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.

27.Subtract. Simplify, if possible.

28.Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function

(a)The x-coordinate of the vertex is (type a simplified fraction)
(b) The y-coordinate of the vertex is (type a simplified fraction)
(c) The equation of the line of symmetry is
(d) The maximum/minimum of f(x) is..(type a simplified fraction)

29.Find the greatest common factor for the group of terms.

30.Find the x-intercepts for the graph of the equation

The x-intercepts are
(Type an ordered pair. Use a comma to separate answers

31.Multiply

32.Find a polynomial for the perimeter and for the area
Z+9

Z

33.Factor out the greatest common factor

https://brainmass.com/math/fractions-and-percentages/mathematics-other-219769

#### Solution Summary

Answers are provided in the attached file.

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## Discrete Math: Integers

A US Social Security number is a nine-digit number. The first digit (or digits) may be zero.
a) How many US Social Security numbers are available?
b) How many US Social Security numbers are odd?
c) How many US social security numbers read the same backward and forward (eg 350767053)?

a) How many 4-digit numbers do not contain number 5 among its digits?
b) How many 4-digit numbers contain at least one number 5 among its digits?
c) How many 4-digit numbers contain exactly one number 5 among its digits?

Prove that if a is an odd integer, then a^2 + 7 is divisible by 4.

Read very carefully each of these sentences. Then, complete them:
a) The only integer which is divisible by every other integer is...
b) The integers that divide all prime numbers are ... and ...
c) If p is a prime number, it has ... positive divisors, and ... integer divisors.
d) (See the attachment for the equation)
e) Which one is larger, 2^1000 or 500! ? The answer is ...
f) The set {{2,6},{3,6}} has exactly ... elements. Does it coincide with {2,3,6}?

Prove that 99^4 divides 100!-99!

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