Mathematical induction (a) Prove that 5" – 1 1+5+...+5"-1 %3D 4 for all positive integers n. (b) Prove that 72n – 1 is divisible by 48 for all positive integers n. (c) Let T be a binary tree of height h > 1. Prove that T has at most 2h leaves.

Q: Solve for x   101+x-101-x=99

A:

Q: Solve for the value of “x" * |-3 1 6. | 17 4 2х -3 |-1 2 4,

A: Given: 17=-31642x-3-124

Q: Šolve for x. 10x + 14 Вх - 23

A: The figure given below represents the diagram of two triangles. For triangle ABC and triangle AED,…

Q: (a) the boy con only make UP pnd Right moves anly he de food? the How many parths (b) If he mandemly…

A: We will use basic logic to answer both parts. Note that in the question post, only two parts named…

Q: Find the volume of the solid bounded by the surfaces x = 0, y = 0, z=11-2y and z=2x² +3. z=2x² +3…

A:

Q: what number is less than 0 but also closest to 0

A:

Q: Solve for 91- = 320-5.

A: Solve by logarithmic

Q: (12) Solve for X 12 % X 10

A:

Q: Solve for x in -1-4 30 XT. = -10 X = = -2-54 1 -2 XT. 2-4-4 -24

A: Given the matrix equation:[−13​−40​]XT=−10[−22​−5−4​4−4​]+[1−2​−24​]XT Let's denote the left-hand…

Q: Write the augmented matrix for the system. Do not solve the system. -2x - 2y = -16 4x + 4y = 32 %3D

A:

Q: solve for A =  2 4 0 0     4 2 0 0 0 0 2 4 0 0 4 2

A:

Q: 1. Solve x2 + 4x + 5

A:

Q: solve remaining parts also please asap

A: We need to find truth value of given operation by using truth tables already given in previous…

Q: Solve for x in the equation 3x² = 48 Ox=4 Ox= -4 Ox=4,-4 x = 4,8 Ox=2,8

A: Solution:

Q: please solve step by step a b c

A: To solve this problem involving the tribble concentration in the cargo bay, we will address each…

Q: (1а)20 a - 1-06 2

A: According to question,Given expression,1-11+a20a=-1.062

Q: Solve 3*+1=9*=27

A:

Q: L 25+4 2 5² 7 4 st 29 }

A: Laplace transform is used to find the solution of the dependent variable of a differential equation.…

Q: 5 . Solve: x - 3 21

A: We have to solve the equation: 5x-3≥1 Subtracting both sides 1, we get…

Q: 6 3 25

A: If two secants are drawn to a circle from one exterior point, then the product of the external…

Q: If 2* = 8*-1, solve for x.

A:

Q: Solve for x. (3x + 2)* 62 O x-20 O x-38.7 O x-21.3 O x-62

A:

Q: 7. Solve: 3 = 2 x-1 + 5 x+1

A:

Q: Solve 23*- = 32. A. x 11 B. x 1 C. x 2 D. x 4

A:

Q: Find the value of the determinant. |-2 -4 -4 3 -1 -2 2 2-5

A:

Q: Solve number 2

A:

Q: 3. Solvex+17 = 35

A: Given the equation  x5 + 17 = 35 We need to solve it. Now, x5 + 17 = 35 implies that  x5 = 35 - 17…

Q: z+3 + 27 f(2) = To graph y = f(z) how should we transform the graph of y = Domain Range

A: As you have posted questions containing more than 3 sub parts .I am solving first 3 sub parts .Re…

Q: Solve 2 3 - = 13 and х у 5 4 -2 X X y

A:

Q: Solve 4x - 5 = 19. O A. x= 10 OB. X=6 OC. x= 3.5 OD. x=8

A: We can find the answer as below.

Q: Solve 7 = ex+1.

A: Given function  - 7 = ex+1Taking ln on both sides - ln7 = lnex+1ln7 = x+1lne…

Q: For 1>0, y 2 0, a > 0, a ± 1, and any real number r, Product Property: loga(ry) = loga(x) + loga(y)…

A:

Q: Can someone help solve 58 ??

A: Please refer to the image below.

Q: Solve the equation

A: To determine the value of x.

Q: One more than five times a number is less than or equal toten. Find all such numbers.

A: We can the numbers as below

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.