3. Solve the following and indicate the solution on a number line: a) |2x – 5| = |5x – 4| b) |r – 3| > 7 c) |2x + 1| < 2 d) |1 – 32| < 8 4. Solve for x and make sure to verify. Comment on whether all the solutions you find make sense: 1 a) r = 1+ 3 b) * - 2 12 x+2 x² – 4

Q: Graph the hyperbola. 2-4y - 8x-24y-36 = 0 14 12+ 10- 8- 4- 2- ? -14 -12 -10 -6. 6. 10 12 14 -2- 4-…

A: Graph of hyperbola

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A: Given

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A:

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A: Follow the procedure given below.

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A:

Q: Find the inverse of each function. -2x-12 O f(x) b) f(x) = -x² + 4x – 12 3

A:

Q: The table shows the results of a survey of students in two math classes. Find P(more than 1 hour of…

A: Here we will find the probability,

Q: 6. Given the equation (x2-4y")(x³yzm-1) 0, where 0<ns 3, and 0 < m < 5 a. What is the highest…

A:

Q: i) f(x) = 2 In(-x) j) 2(x2 – 4) f(x) = %3D x2 -x-6

A:

Q: コX K²-9 2.

A: Topic = Algebra

Q: multiply (9x + 5y)2

A:

Q: Directions: Solve what is asked in each item. A. Find the inverse of the relation. 4. y = 4x – 5 5.…

A:

Q: find all the 2-dimensional subspaces of GF(3)3.

A:

Q: I. Simplify each of the following expression. 1. 8! 2. 10! 4. 4!+5!

A: This question is based on factorial. the product of all positive integers less than or equal to a…

Q: WHe-the syftems of equations as an augmented matrix. 31=- -5x-31+57=-a 7-bx-5y42=- \e

A: to write the augumented matrix we will simply form a 3*3 matrix with co efficients of x,y and z in…

Q: 23. Find the number of different arrangements of the set of the six letters j, o, y, f, u, l: a.…

A: Solution: Given data, Set of six letters......j,o,y,f,u,l Number of letters n =6 Taken two at a…

Q: Questionzi y²-ZY-% yzt 51-36

A: The given expression,     y2-2y-8y2+5y-36

Q: Let F = 2ax - 6ay + 10az and G = ax + Gyay + 5az. If F and G have the same unit vector, Gy is (А) -3…

A: Two vector will have same unit vector if the ratio of their components are same.

Q: Find the root [zeros] of each function and State the multipilicy of any repeated Yoots 4= (2x -1)…

A:

Q: Let f(x) = 4x^2 – 7x. Use the ɛ/0-definition of the derivative to prove that f(2) = 9.

A:

Q: a. Show algebraically that f(x) =2 x| - 9 is an even function. b. Solve the equation algebraically…

A: a) Even Function: A function is even if, f-x=fx for all x.   Given, fx=2x-9 f-x=2-x-9 f(-x)=2|x|-9,…

Q: Let -2 -8 5 37 -2 -1 3 4 A = 4 -2 -1 3 2 -8 5 3 Find a basis for the image of A (or, equivalently,…

A:

Q: Worksheet No. 5: Word Problems Involving Linear Inequality Direction: Solve the following word…

A: Total money= 1000 Php  Cost for pizza= 700 Php  Remaining balance= (1000-700)= 300 Php

Q: _4. In triangle PQR, what is the length of adjacent side of angle R? А. 3 В. 4 С. 5 3 5 D. Cannot be…

A: In triangle PQR,PQ=3, QR=4, PR=5

Q: 1. Find the x- and y-intercepts for x + 2y = 3, and then sketch the graph. What is the slope?

A:

Q: 35

A: We can solve this as follows:

Q: Solve e +4> 11. Round your answer to the nearest thousandth. The solution is-

A:

Q: 10. Solve the triangle. B 34.40 C: 4.20 b= 29.50.

A:

Q: 10 Show that the function -x+px-g is negative for all real values of x provided that q is greater…

A:

Q: n. Evaluate the following permutations. P, 19. 10 20. P.

A: To Evaluate the permutation

Q: 10. Using three different method, explain the process of factoring the quadratic 22 + 7x + 12

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Given the geometric sequence: 8, -16, 32, –64, ... Find a12

A: Geometric sequence

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A: Given question, A sequence of vertices such that each vertex is adjacent to next vertex is called…

Q: Solve the following exponential equation. 3-x 6% %3D 216

A: We can solve the exponential equation as below.

Q: 3. The graphical presentation of the best combinations of portfolio expected returns and deviations…

A: 3. Capital market line. 4. B

Q: Queslion lo

A:

Q: 3. Solve the Linear Programming problem below with the Simplex Table: Objective Function/Objective…

A:

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A: As per the data, we need atleast 1 midwive for a population of 10,000

Q: green balls. 8. The ball is colored red. 13 9. The ball is colored blue 10. The ball is colored…

A: Given, Box have balls. Which is Red=4 Blue=5 Green=6 So we have Total no of ball in box Total…

Q: 11. Divide the complex numbers. 7+ 5 3+ 2i 21 + 10i O1.5. 13 + 13i 31 O 21 10 13 13 O 31 13 13 1 12.…

A:

Q: Find the inverse of f (x) = slate the domain and range of f(x). 3x-5

A: This can be solved as follows:

Q: Which of the following does not belong to the group? A Stress B Time Force (D Velocity

A: Consider  A. Stress B. Time C. Force D. Velocity

Q: Show that a is an eigenvalue of A and find one eigenvector v corresponding to this eigenvalue. 2 A 4…

A:

Q: Consider the quadratic function f(x) = - a? + 4x + 12. Determine the following: (enter all numerical…

A:

Q: Consider the parabola given by the equation: f(x) = – x? + 10x + 3 Find the following for this…

A:

Q: Write the equation for this graph: 5 |(4, 3) |(3, 1) -5 0(2, 0.333) 5 10 -5- -10 f (x) = (x+

A: Consider the graph

Q: factor y2-9

A:

Q: Find the basis of the row space of the following matrix: 2 –1 4 1 6 1 6. 4

A: Here we will find the row-reduced echlon form by gauss elimination process then find the basis of…

Q: solve

A: We will solve the problem.

Q: dy in terms of t: Differentiate parametrically to find dx y= 2t2 +4 t - 1 X = A [4t(t – 1)²] В…

A: Given :x=1t-1y=2t2+4