8. Solve the inequality r-히 (z-3)--r-3(r-3)-8(22- 3.z + 2) > 0. Show your work! solution x+Cx =)--4)*(x-3n+2)2 n²-3n+2)20

Q: 1. If the point (2, 3) is a solution of an inequality in x and y, then the inequality is satisfied…

A:

Q: Find the number of nonnegative integer solutions to x + y + z = 15 with the conditions x ≥ 4, y ≥ 1.

A: We have given that x+y+z=15                            ……(1) x≥4, y≥1   x≥4 Subtract 4 from both…

Q: you solve. 0.6 + 0.3 2.4 + 0.8 6 tenths 3 tenths = 4 tenths + _8 tenths %3D = 2 ones %3D ones %3D --…

A: Given,           a) 0.6 ÷ 0.3           b) 2.4 ÷ 0.8           c) 4.5 ÷ 0.5           d) 1.4 ÷ 0.2

Q: If the point  (2, 8)  is a solution of an inequality in x and y, then the inequality is satisfied…

A:

Q: Show that (k^2 * (k+1)^2)/(4) + (k+1)^3 is equal to ((k+1)(k+2)/2)^2

A:

Q: We would like to solve the general case. How many non-negative, integer solutions exist for the…

A: Given is the integer equation x1+x2=4 where x1, x2∈ℤ and the non-negative solutions to this equation…

Q: 8. Write the number of the correct answer al ay Number of solutions for the system Ax = 0 is 1-…

A:

Q: 3. Show that |ab| < form of Young's inequality ] 01a + Va, b e R. [Hint: this comes from the first 2…

A:

Q: 5. Consider the equation x₁ + x₂ + x3 = 18, where 2₁, 22, and 23 are integers. How many solutions…

A: This question from number theory.

Q: 2.1 Without using a calculator, rationalise the denominator and simpny. 3-J2 3+2 (3) 2.2 Solve for…

A:

Q: The output of an OR gate is 1 if both inputs are 1 1 if both inputs are zeros 1 if one input is 1…

A: An or operator is a logical gate operator that provides an output value in accordance with the input…

Q: 6y-y2 ニ Y-216 21/6 y2+by+36

A:

Q: 5. Find the solution to an 2аn-1 + 5а,-2 — бал-з with ао %3D 7, a1 = -4, and a2 = 8.

A: Given recurrence relation an=2an-1 +5an-2-6an-3    with a0=7,a1=-4,and a2=8 To determine the general…

Q: 6z + 4y = -8 %3D O (0, -2) 1(5,9) O (1,0) O Infinitely Many Solutions O No Solution • Previous

A:

Q: muilo 21. -3x > 9 322.L4x > 8 U wod-lHed leno Exar 20. 4x 19.5x 4x – 7 26. 20 + x 4 yec 28. 6(2 -…

A: Given:

Q: 6) If the discriminant is positive, then the solution will be O one real solution O two real…

A: Given : Discriminant is positive

Q: only want (d) to

A: Here population standard deviation known so use z critical for confidence interval

Q: Solve 5sin(2θ)−5cos(θ)=0 for all solutions 0≤θ&lt;2π. θ=

A: The given equation is

Q: The sum of the first n natural numbers, S = 1 + 2 + 3 + first n natural numbers is 171, determine…

A: Consider the given information:

Q: 2 12 16 Which of the following is the approximate solution to the inequality Ar) <g(x)? 2.

A: The given function is y=fx-gx consider y&lt;0 therefore y&lt;0fx-gx&lt;0 adding g(x) to both sides…

Q: 16. As a generalized interpolation problem, find the quadratic polynomial q(x) for which q(0) = -1,…

A: let the polynomial q(x)=ax2+bx+c q'(x)=2ax+b since q(0)=-1(given) a(0)+b(0)+c=-1⇒c=-1

Q: Use the previous problem to show there are infinitely many solutions. to r² = 1+ y² +².

A: As per the question we have to prove that there are infinitely many solutions to the equation : x2 =…

Q: 20- What is the solution set of the equation? a) EMPTY SET B) NONE NS) {0,1,-1} D) REAL NUMBERS…

A: To find the solution set of the equation: [[x]]=sgn(x) where [[x]]=the largest integer that is less…

Q: 1. A positive integer is six less than the other integer. 14 The sum of the reciprocal of the two…

A: As per our company guidelines, we are supposed to solve first question for you. Please repost other…

Q: 3.41 Show that the Neumann problem in r'+ y<1 -2 an on x+ y = 1 does not have a solution.

A: We will use greens theorem

Q: 1. Use double inequalities to show that: |1 6 3* -5 1 3 then xe -86 941 8. i) if 8 礼1 then xe (3 –…

A:

Q: Is 9 a solution of 2x + 4 < 21? We will substitute 9 for x and evaluate the expression on the left…

A:

Q: 1. Find two nonnegative numbers whose sum is 30 and the product of the square of one (z) and the…

A: Given,  x and y are non negative numbers  x + y = 30  We have to find the number x such that x2y3 is…

Q: Is either x = 10 or x = 13 a solution to 10 + x > 9 ? They are both solutions. O x= 13 is a…

A: Given  10+x &gt; 9

Q: Which statement is FALSE? ) The sum of odd degrees always equals the sum of even degrees ) The sum…

A: ANSWER :

Q: 8. How many integer solutions are there to the inequality Y1 + y2 + Y3+ y4 0, 0 < y2 ≤ 10, 0≤ Y3 ≤…

A:

Q: 1. Find two non-negative numbers such that the product of the first squared and the second is 108…

A: 1) Given data:   The given expression for the product of the squared of the first number and the…

Q: Uつ40+OLU 1ontい し いun 人 の-メS1-Xメーメを interval 3. 3. poutnd to factor p) いUtas0 -use the test -Point…

A: Let's find.

Q: 100 Evaluate > (k² + 4k + 3) k=1

A: use sum formulas

Q: 2. Do the following have a unique solution? If not, are there multiple solutions or no solution?

A:

Q: 3. (a) How many non-negative integer solutions (x1, x2, x3, x4, x5) are there in each of the…

A: As per the guideline, 3 subparts can be answered. please repost the remaining subparts. thank you.

Q: Solve for n if nEN: (4+8+12+ ... +4(n-1)) + (2+4.5+7+. .. 4+5n -%3D126.5 2

A: Sum of n natural numbers is n(n+1)/2.

Q: If x and y are positive real numbers, use the direct method to prove the following inequality: 7 5…

A:

Q: Suppose X - U(2, 7). Determine P(X > 6 | X > 5). Note: This is a very challenging problem.

A:

Q: 7. How many integer solutions are there to 2r, + 2tz + 2rz + Xg +X5 = 9 with x; 2 0? (Hint: break…

A: Solutions to the equation are the set of values for which equations returns the same value on both…

Q: 17. Given the set {x| – 2 <.x < 2, where x is an integer}, what is the solution of -2(x – 5) < 10?…

A:

Q: 1. The sum of two nonnegative numbers is 20. Find the numbers if the product of the square of one…

A:

Q: The solution set for x satisfying both 1| 1 - is O a) None of these b) (-∞, – 1) U (1, 3] ОФ (1, 3]…

A:

Q: 1. The product of two numbers is 24. Find the numbers if (a) the sum of the two numbers is minimum,…

A:

Q: Consider solutions to the inequality (x- 1)2 + (y - 1)2 <1. We will denote the solution set by S,…

A:

Q: Given that x and y are distinct positive roots, their arithmetic mean is x + y divided by 2 and…

A:

Q: (b)Prove the inequality x² + x² + ... + x² n AI 2 xn ( ³²₁ +2²₂ + ... + x n ) ² n

A: Sol

Q: 8. n - 9

A: