Plug in Math Problem

Introduction for plug in math problem:

We are going to see about the topic of math in plug concept with some examples and their problems.  Mathematics provides the easiest way to deal with the concept of plug.  The plug concept is used in all branches of math like algebra, trigonometry, and integral calculus and so on. Understanding Trigonometric Functions Graphs is always challenging for me but thanks to all math help websites to help me out.

Example Problems for Plug in Math

Example problem for plug in math 1:

Solve: 2(8x - 12) + 3 (5x + 8) if the value of x is 4.

Solution:

The given equation is 2(8x - 12) + 3 (5x + 8)

Applying the value of x in the given above equation

= 2(8(4) - 12) + 3 (5(4) + 8)

= 2(32 - 12) + 3 (20 + 8)

= 2(20) + 3 (28)

= 40 + 84

= 124

Answer: 124.

Example problem for plug in math 2:

Find out the value of f (a) = 15a + 5, if the value of ‘a’ is 1, 2, and 3.

Solution:

The given equation is f (a) = 15a + 5

Substitute the ‘a’ value in the given equation

Now, substitute the value of a is 1

f (1) = 15(1) + 5

= 15 + 5

= 20.

f (1) = 20

Now, substitute the value of a is 2

f (2) = 15(2) + 5

= 30 + 5

= 35.

f (2) = 35

Now, substitute the value of a is 3

f (3) = 15(3) + 5

= 45 + 5

= 50.

f (3) = 50

The answer is

a = 1; f (a) = 20

a = 2; f (a) = 35

a = 3; f (a) = 50

Example problem for plug in math 3:

Prove that the condition is true (a + b)2 = a^2 + b^2 + 2ab.  The value of a is 15 and b is 12.

Solution:

Given (a + b)^2 = a^2 + b^2 + 2ab

Substitute the value of a = 15 and b = 12 in the given formula.

First doing in the left side

(15 + 12)2                                                                                                        (15 + 12 = 27)

(27)2 = 729                                                                              (the value of 272 is 729)

(a + b)2 = (15 + 12)2 = 729

Now, doing in the right side

= 152 + 122 + 2 (15) (12)                                                          (The value of 152 is 225 and 122 is 144)

= 225 + 144 + 360

= 729

a^2 + b^2 + 2ab = 152 + 122 + 2 (15) (12) = 729.

729 = 729

Hence the proof (a + b)2 = a^2 + b^2 + 2ab. Having problem with The Simplex Method keep reading my upcoming posts, i will try to help you.

Practice Problems for Plug in Math

Practice Problem 1:

Find out the value of f (x) = 100x + 50, if the value of ‘x’ is 5, 10, and 15.

Answer:

x = 5; f (x) = 550

x = 10; f (x) = 1050

x = 15; f (x) = 1550.

Practice Problem 2:

Find out the value of f (p) = p (p - 1) + 10, if the value of p is 4.

Answer: 22