Linear function j (x) = - x + 3p , where x and p ∈ Real Numbers with p ≠ 0. Prove that graphs of j(x) = - x + 3p and of g (x) = px2 + (t -1)*x - p have two distinct intersection points for all possible values of "p" and "t".

Linear function j (x) = - x + 3p , where x and p ∈ Real Numbers with p ≠ 0. Prove that graphs of j(x) = - x + 3p and of g (x) = px2 + (t -1)*x - p have two distinct intersection points for all possible values of "p" and "t".

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 23E

See similar textbooks

Related questions

Q: 15. Calculate the volume of this mailbox to the nearest cubic centimetre, where L = 35 cm, w = 14 cm…

Q: explain what type of patterns and diagrams and how each shape is transformed.

A: 5a) The figure shows a translation of 5 units right and 2 units up.(x,y)→(x+5,y+2)M(−2,2)→M′(3,4)b)…

Q: ABCDEFGH is a 3 by 3 by 3 cube. Point P is 1/3 along AB (that is AP PB = 12), point Q is 1/3 along…

A: The cube and its vertices:The cube ABCDEFGH has vertices:A (0, 0, 3)B (3, 0, 3)C (3, 3, 3)D (0, 3,…

Q: Using the scale provided below, determine the length of the line shown. The correct answer will only…

Q: Prove that quadrilateral EFGH is a parallelogram

A: Step 1: **Given Information : *** The parallelogram we have is UVWX. The midpoints of each of the…

Q: 43. In the figure on the right, DE / AB. What is the length of AB? 36 cm 18 am D E 12 cm B

A: Note : We take AD = 36 cm. So, AC = AD + DC = 36 + 10 = 46

Q: Every trapezoid is a special parallelogram draw shape that supports claim draw shape that…

A: The claim "Every trapezoid is a special parallelogram" is false because the definitions of…

Q: Heron's formula can be used to find the area of a triangle if the lengths of the three sides are…

Q: Prove: A hyperbolic mirror (convex side of one branch of a hyperbola) has the property that a light…

A: A hyperbola is a type of conic section that is defined as the set of all points in a plane such that…

Q: What does x equal?

A: Step 1:

Q: 2 1320/319a6be93134fe1b33c0a8a83caed2d2 Log Out Question Given: EF || GH and AB || CD. Prove: ZIJL…

Q: 8 m x If x = 12 meters, what is the total area of this park? 73.12 square feet 96 square feet 50.24…

A: Step 1: Step 2:Just for additional knowledge.

Q: 18 ft. 18 ft. 18 ft. 27 ft. 5 ft. 32 ft. 9 ft. For which shapes must you determine the area in order…

Q: Definitia unghiului de 90°

A: A right angle is created when two lines that are perpendicular to one another form an angle. A right…

Q: Copy G What M Inbox CC GEIXL Ro ixl.com/math/geometry/rotations-graph-the-image August k VALER IXL…

A: Step 1:Step 2:Step 3: Step 4:

Q: Provide an Analytic Proof for each of the following theorems. The perpendicular bisector of a chord…

A: First, let's understand the theorem. A chord of a circle is a straight line segment whose endpoints…

Q: 3. The point guard of a basketball team has to make a decision about whether or not to shoot a…

A: The expected value (E) of a random variable is calculated by multiplying each possible outcome by…

Q: PLEASE HELP!

A: 4. Constructing the Circle Tangent to AB at A and the Incircle of ΔABC 1. Construct ΔABC:-Begin with…

Q: ndow Help assignment/72530533?q=7 asswork Practice Badges Formatting Help omework & 14 20c 17 C Find…

Q: A manufacturing company packages fruit bars. Each fruit bar is placed in a cardboard package…

A: The first step to do is identify the given. In this problem, the cardboard package for each fruit…

Q: Alex is designing a circular garden for a new client. A sketch of the garden is shown below. Alex…

A: Step 1: Given, Alex use decorative rocks to cover a small portion (the sector), we have to find the…

Q: 19. A picture measures 60 cm by 30 cm. The mat around the picture is 6 cm wide. Find the area of the…

A: Step 1: Given,The length of the picture = 60 cmThe width of the picture = 30 cmThe mat around the…

Q: 10 X 9- W 10 NO 6 8 CO 104 4 Y 2 0 2 4 6 8 10 N 2

Q: can u please explain the idea of CONGRUENCY and SIMILARITY for kids

A: In geometry, when we say that two shapes are congruent, we mean that they are exactly the same in…

Q: Show all work

A: For simplicity, let's shall denote AK=a, BK=b, CK=c,DK=d, EK=e, FK=f. The perpendiculars OL, OM, ON…

Q: The points I, left parenthesis, 1, comma, 1, right parenthesis, comma, J, left parenthesis, 6,…

A: By connecting these points, plot quadrilateral IJKL on the coordinate plane. Other Calculations…

Q: What is the angle of (a)?

A: To determine the value of angle a in the given image, we can use the concept of vertical angles.…

Q: Let X be uniformly distributed over the interval (-1, 1) and Y be a Bernoulli random variable with…

A: Based on the image you sent, it appears to be a probability density function (PDF) of the absolute…

Q: Find the missing side. Round to the nearest tenth. 34) X 12 35) 13 39° 23° A) 42.7 C) 4.7 B) 39.9 D)…

A: Please comment down for any doubt. I hope my answer helps you.

Q: e of Listen Find the surface area and volume of the composite solid. Round both answers to the…

Q: Which of the following would be a line of reflection that would map ABCD onto itself?A: (1,1), B:…

A: For us to have an easier way of understanding and solving this problem, it is best to plot the given…

Q: 7:29 SM Task: Geometry home.ogburn.org N 5G 78% Identify a famous mathematician. Research their work…

A: ## Alan Turing: A Pioneering Mathematician ### IntroductionAlan Mathison Turing, born on June 23,…

Q: help⭑** Som 20 Net 30 Cube Identify the following measurements Length: Width: 2 Height: 5am Surface…

Q: ABC is an equilateral triangle with sides and angles congruent. AD and BE are medians, prove that…

A: To prove that medians AD and BE in an equilateral triangle ABC are congruent, follow these steps:…

Q: The questions are in image 1. The entire roof is shown in image 2

A: Step 1: Step 2: Step 3: Step 4:

Q: I need help

A: Step 1: Given are the points below: A(xA,yA)→A(2,4)B(xB,yB)→B(6,2) Step 2: Recreating the graph…

Q: Find the surface area of the right cone. Leave your answers in terms of TT. 7. 18 mm 42 mm cm

A: Step 1: Step 2: Step 3: Step 4:

Q: Whats the height ? The length ? And the perimeter of the triangle ?

A: a. The height of the triangle is 10 inches.b. The length of the base of the triangle is 16 inches.c.…

Q: Net 1 from a Net (Level 1) lator t Score: 1/10 Penalty: 1 off Question Show Examples Jai wraps a…

A: The dimensions of the rectangular prism are given as 7 ft, 5 ft, 7 ft, 12 ft, 7 ft. However, a…

Q: Other chemists typically get 65% of their reactions to produce more than 48 grams. Should the…

A: When we compare the engineer's performance to that of other chemists, we can consider the success…

Q: Finish the proof of Proposition 3.1 by showing that AB U BA = {AB}

A: Step 1:Step 2:Step 3: Step 4:

Q: For AJNM, the following facts are given: KL || MN KL = 9 in MN = 12 in JL = 4.5 in M K Answer the…

A: Step 1: Step 2: Step 3:

Q: Exercises 4.5. 1. Use Corollary 4.30 to find the area of the hyperbolic triangle with given…

Q: Find the volume.

A: Solve for the volume of the block.Vblock = LWHVblock = (23)(23)(15)Vblock = 7,935 ft3 Solve for the…

Q: 21. Find the acute angle between the following two planes. (1) 2x-2y-z-8-0 and x-8y+4z + 10 = 0

Q: prove that the medial quadrilateral of a trapezoid is a parallelogram.

Q: What is the measure of HJ in degrees? (ONLY WRITE THE NUMBER) I 85° 150° J H

A: We know,Sum of total arc angles of the circle is 360°. Therefore,…

Q: Instructions Match each Diagram with its Meaning. Chicago Windy *Everyone living in Chicago likes…

A: Step 1: Analyze Diagram 1. The small red circle (Chicago) is inside the big blue circle (Windy).This…

Q: Question 38 Let L be the straight line passing through P (-1,-1) with angle of inclination to the…

A: (a) Show that PQ=∣r∣. Given the point P(−1,−31) and any point Q on the line L defined by the…

Q: Find the value of each trigonometric ratio. 29) sin X Y 12 X 16 20 20 A) C) Z 25435 B) 4543 D) 30)…

A: In a right triangle, the sine of an angle A is defined as the ratio of the length of the side…

Question

Linear function j (x) = - x + 3p , where x and p ∈ Real Numbers with p ≠ 0.

Prove that graphs of j(x) = - x + 3p and of g (x) = px² + (t -1)*x - p have two distinct intersection points for all possible values of "p" and "t".

Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.

Expert Solution