Find the values of a and b such that I - f(x) = r +ar? – 5x + b, then completely factor f. 2 and r +3 are factors of 2.x + 15x + 41x? + 48r + 20 2. For the function f()= 34-173+ 19x2 + 21r - 18 (a) find all values of r such that f(r) 20. (b) sketch the graph of f. Be sure to justify your answer.

Find the values of a and b such that I - f(x) = r +ar? – 5x + b, then completely factor f. 2 and r +3 are factors of 2.x + 15x + 41x? + 48r + 20 2. For the function f()= 34-173+ 19x2 + 21r - 18 (a) find all values of r such that f(r) 20. (b) sketch the graph of f. Be sure to justify your answer.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter8: Graphing Quadratic Functions

Section: Chapter Questions

Problem 16CT

See similar textbooks

Related questions

Q: Use Green's Theorem to evaluate the integral. Assume that the curve C is oriented counterclockwise. ...

Q: 7. Suppose that the profit from the production and sale of x units of a product is given by p(x) = 1...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: Question 006: Complete the following question involving derivatives. Use the derivatives table to he...

Q: Find the volume of the solid below The solid S obtained by revolving the region R enclosed by the cu...

Q: The function f(x) = 5 + 4x + 64x 1 has one local minimum and one local maximum. This function has a ...

Q: Find the center of mass of a thin plate of constant density, 8 covering the region enclosed by the p...

Q: If f(x)= 10^2x+1 and x is a nonnegative integer, show that f(x+2)-f(x) is divisible by 99

Q: 2. Let f be the function defined by f(x) = x + In x. What is the value of c for which the instantane...

Q: Derivative of ln[cosx/4-3x^2]

Q: Show that f is continuous on (-0,00) sin x if x 4 V

Q: 12. Let f be the function f(x)={ x² - 3bx+2; x2 For what value of b is f continuous at x = 2 ? (A) 0...

A: To find For what values of b is f is continuous at x=2.

Q: If A = % . then which of the following matrix is similar to matrix A : 01 H)

A: Solution: Consider the given matrix A A = 2203 Trace (A) = 2+3 = 5 Determinant 0f A = Det(A) = 6-0 =...

Q: π/4 a) [ x tan(x²) dx

A: Explanation: Given that, ∫0π4xtan(x2)dxput x2=u differentiate both the side. 2xdx=du dx=du2x then w...

Q: Power reducing formulas sin? x cos 2x 1+ cos 2x cos? x = Pythagorean Identities sin? 0 + cos² 0 = 1 ...

A: Consider the formula, sin2x=1-cos2x2 The given expression is, sin47θ

Q: 10) Find an equation for the plane through Po(0,2,0)perpendicular ton = 31 – k.

Q: x - x +2 4. If flx) =x + 7 find f'(x) . (5x - 1) (3x²) (A) (x' + 7)(5x - 1) – (x° – x + 2)(3x²) (B) ...

A: The given function is f(x) = x5-x+2x3+7

Q: Find the flux of the vector field F(x, y, z) = 3xi+3yj+6zk across the portion of the surface z = 25 ...

A: The flux F across the surface is given by ϕ=∫σF·nds=∬RF·∇GdA

Q: Use Green's Theorem to evaluate the integral. Assume that the curve C is oriented counterclockwise. ...

Q: A graph of y = f(x) is shown and a c-value is given. Use the graph to find the following, whenever...

A: Solution: The objective is to find the limx→cfx and f(c) from using the given graph

Q: need solution

A: First we have represent the given region.

Q: dy 9. Find if y = sec(x²). dx (A) tan(x) (B) (2x)tan(Tx²) (C) sec(x²)tan(Tx²) (D) sec(x²)tan(Tx²)(27...

A: Given that y=secπx2 find dydx

Q: Find two positive numbers whose sum is 14 and the sum of whose squares is minimum

A: Let the first number = x Second number = 14 - x

Q: x²-3x+2 y =3 is the only horizontal asymptote of f(x) =- x²–1 True False

A: We have to say true or false for the statement: y=3 is the only horizontal asymptote of fx=x2-3x+2x2...

Q: Solve the system of linear equations using the Gauss-Jordan elimination method. 2х + 4y x + 2y + 3z ...

Q: number 5 only

Q: fhas a local minimum at x = (A) 0 (В) 1 (C) 2 (D) 3 (E) 5 fhas a point of inflection at x = (A) 1 on...

A: Given:Graph

Q: Find c such that the function 10 г c - || 26 х > с is continuous everywhere. c =

Q: Show all your work and show the table you use

A: Given : limx→4 1x-4 Left hand limit The function decreases without a bound: limx→4- 1x-4 Apply the l...

Q: An artist has decided to finish their piece of artwork by balancing it on a fulcrum and putting it o...

Q: Find a vector a with representation given by the directed line segment AB. А(О, 3, 2), в(1, з, -5) D...

A: Consider the given line segment AB→. A(0,3,2) and B(1,3,-5). Let AB→ be a vector from A to B and de...

Q: Let 1 1 0 1 a b A= 12 B= 20 C=|c d . If C = A + 2B, then a. a = 2, b = 1, c = 5, d = 3. b. a = 3, b ...

Q: f(x)= x2, x≥0 -x2, x<0 Find f'(0)

Q: Find a number b such that lim- .2. x²-4 =2 x-b x-x -2

Q: colve dx+. y 2х y²-3x² -dy=0 y?

A: Given 2xy3dx+y2-3x2y2dy=0Need to solve

Q: III. Solve the differential equations: dy 2. dx 4 cos 6x

A: Given: dydx=4cos6x The general solution of the given differential equation can be obtained as, dyd...

Q: Evaluate the limits

A: Let P(x) = a0+a1x+a2x2+.....+anxn be a polynomial, where a0, a1, ...., an are real numbers and n is ...

Q: Given the function f(x)=3^(1-x), find f(-1).f(-1) = ____(Simplify your answer. Type an integer or a ...

A: Given data: The given function is f(x)=3^(1-x). Substitute -1 for x in the given function. f-1=31-(-...

Q: Only question D to G please

A: Given the equation y=36-x2We need to:1) Graph the above function.2) Use the graphing calculator to i...

Q: 4. Find the constants in the partial fraction decomposition 2x +4 A Bx + C (x – 2)(x² +4) x - 2 x2 +...

A: First we will cross multiply and then put different values of x to find the constants. Since there a...

Q: The graphs of y=2x and y=((1)/(2))^(x) are symmetric with respect to the x-axis. State whether this...

A: We have the function as y=2x and y=12x We have to check the symmetry For that, we will plot t...

Q: Use Euler's formula and find real and imaginary part of: Z1 = sin(1– 3i) 22 = cos(3+ 2i)

Q: Question: What is the notation for “the limit as x approaches infinity of the function f(x) is L"?

Q: Find a + b, 2a + 3b, Jal, and la - bl. a = 31 - 6j + 3k, b= 2j - k a +b - 2a + 3b = lal- la - b| Nee...

Q: (-2,-6) 6 -2- 3(2,-2) -9 3x³ - x² - 11x (Simplify your answer.) Find the total area of the shaded re...

Q: Just checking my homework

Q: Is the following an exponential function?y=x^(3)Is y=x^(3) an exponential function?

Q: Question 015: Complete the following question involving the product rule. Use the derivatives table ...

Q: A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 65 cm/...

Q: Show that 1 lim 00 cos 0

Q: cotx(secx-cos x)

A: We have to find cotx (secx - cosx) We know that , cotx = cosx/sinx secx = 1/cosx Then ,

Concept explainers

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.

Question

How to solve number 1&2

Find the values of a and b such that I -
f(x) = r +ar? – 5x + b, then completely factor f.
2 and r +3 are factors of
2.x + 15x + 41x? + 48r + 20
2. For the function f()= 34-173+ 19x2 + 21r - 18
(a)
find all values of r such that f(r) 20.
(b)
sketch the graph of f. Be sure to justify your answer.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Linear Equations$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

For the function f(x)=2x27x+5 , find (a) the zeros of the function (b) any x-intercepts of the graph of the function (c) any y-intercepts of the graph of the function.
For the graph of f(x)=2x28x+1 find: a. the axis of symmetry b. the vertex.
Sales A soft-drink vendor at a popular beach analyzes his sales records and find that if he sells x cans of soda pop in one day, his profit (in dollars) is given by P(x)=0.001x2+3x1800 What is his maximum profit per day, and how many cans must he sell for maximum profit?
Sketch the graph of each quadratic function and compare it with the graph of y=x2. af(x)=14x2bg(x)=16x2ch(x)=52x2dk(x)=4x2
Minimizing cost A company that produces and sells digital cameras has determined that the total weekly cost C(x), in dollars of producing x digital cameras is given by the function C(x)=1.5x2144x+5856. Determine the production level that minimizes the weekly cost for producing the digital cameras and find that weekly minimum cost.
The polynomial function h(t)=16t2+175 gives the height of a ball t seconds after it is dropped from a 175-foot tall bridge. Find the height after t=3 seconds.
The polynomial function h(t)=16t2+150 gives the height of a stone t seconds after it is dropped from a 150-foot tall cliff. Find the height after t=0 seconds (the initial height of the object).