Which statement is FALSE? ) The sum of odd degrees always equals the sum of even degrees ) The sum of in-degrees and the sum of out-degrees are equal The maximum degree is greater than or equal to 2*|E|/|V| ) The sum of odd degrees is even

Q: Let p, q, and r be real numbers such that p + q +r = 26 and '/p + lq + '/, = 31. What is the value…

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Q: If x, y and z are three real numbers such that x+ y+ z= 4 and x + y + z = 6, then show that each of…

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Q: Ix-51>7* O x>7, x 12, x 12 No Solotion

A: We have to solve the inequality

Q: Which is an example of two differnt fuctions that have the same domain and the same range, but have…

A: 1)Let f(x)=x+1, g(x)= square root of xSketch the graph of the function as shown below

Q: N.Find the set of values of x for which: w - x-2 x+1 12. Solve the inequality:(x-3)(x+2)(x+4) > C 13…

A: 11)  xx-2>1x+1⇒xx-2-1x+1>0⇒xx+1-x+2x-2x+1>0⇒x2-2x-2x+1>0           1 If x<-1 then…

Q: ) A car is traveling north on a highway for 4 hours. After those 4 hours, the car has traveled 200…

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Q: State the Intermediate Value Theorem. Use a graph to explain the concepts behind it (The concepts…

A: A Continuous function is a function whose graph is continuous meaning that it is a smooth curve…

Q: 4.ca) Deferroine the values of a and b Tat make the function ford continuous for all real numbers.…

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Q: Two nonnegative numbers whose product is 25a² (where a 0) and whose sum is a minimum, are

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Q: Prove that (23-1a,b)* = {2}-1/a})(27-1) j=1 for all real numbers a₁,..., an and b₁,..., bn. i=1

A: The detailed process is described in step 2.

Q: 6) If X is N(45,5) for i = 1, 2,..., 25; find: 25 (a) P (30 < (X-45) < 55) 221 b) P(30< (X -45) 2 <…

A: The objective of the question is to find the probability of two different scenarios for a normally…

Q: Given the function y = 4x – 11, the third differences will all equal O a) 12 O b) 4 O c) 24 d) 8

A: For a cubic sequence, the third difference is a constant . Take arbitrary values for x and calculate…

Q: Describe in Roster form. (Don't put any spaces on your answers. Enclosed your answers in {).) {x…

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Q: P(X=x) 0,10 0,20 0,30 0,40 P(3 < X S4 )= ??? O A) 0,10 O B) 0,40 C) 0,30 O D) 0,50 XN34 5

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Q: 4) 1) We can define the root of an equation as the value of X that makes f(X) = 0? a) True b) False…

A: 1).We can define the root of an equation as the value of  which makes .So the statement is…

Q: Let A= (1,3] and B= (2,6] this is interval notation find the following a. A U B b.A n B c. B-A d. A…

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Q: Q2: Suppose A = {Set of natural number less than 9}, B = {Even natural number less than 12 } and C =…

A: A = { Set of natural number less than 9} B = { Even natural number less than 12} C = { Multiples of…

Q: the equasion y=5x+80 and y=10x+60 form a linner equasion in two veriables. Using anymethod to solve…

A: given equations are, y=5x+80 and y=10x+60

Q: 20) The revenue R in dollars received from selling x radios is R(x)-x(90-x) a) Evaluate R(20) and…

A: Note: As per multiple sub-part rule, we will be providing solution for the first three subparts of…

Q: 33. Let R be the set of all real numbers, x ER and n eN a n 2 2. If (1+ x) > 0, then which of the…

A: Option (C) II only is correct.

Q: K For a segment of a radio show, a disc jockey can play 5 records. If there are 8 records to select…

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Q: Give The 15T four non zero Term of Mhe Sentes aboufx= %3D

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Q: 5) Suppose that W1 < R" and W2 4 R". Prove (W1 n W2) < R"

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Q: 4. Suppose we are in a parallel universe where 6 dollar coins and 11 dollar coins exist. Show that…

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Q: which statements are always true for the graph of a cubic function?  I) When the graph has exactly…

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Q: Find the length of (3et − 3, 4et + 7) for 0 ≤ t ≤ 1

A: To find the length

Q: Graph the set {x -3<x<2} on the number line. Then, write the set using interval notation.

A: Given, Graph the set {x|-3≤x≤2}

Q: ) List all the possible rational zeros of flx) = 2r - 5x + 2x + 6 A) 2, ±3, 26 * 21, 2, 23 ±1, C)…

A: Topic = Algebra

Q: In Intérval notation. 2 sx < 10 A) [2, 10] B) [2, 10) C) (2, 10] D) (2, 10) the problem. 10 The…

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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.