Find each of the following indicated products. These patterns will be used again in Section 3.5. (2x - 3)(4x2 + 6x + 9)

Q: find each quotient. 9x4y5/3xy2

A: Quotient is the answer we obtain after dividing one polynomial by another. Dividend / Divisor = Quot...

Q: express the given inequality in interval notation and sketch a graph of the interval. x ≤ 0

A: x≤0 It means the set of all real numbers less than or equal to zero.  Therefore given inequality in ...

Q: add the given polynomials. 3x - 7 and 7x + 4

A: 3x-7  and  7x+4

Q: 33 - If a good is sold for 10% loss, it is sold for A lira, if it is sold with 8% profit, it is sold...

A: Let us consider the price of goods be $100  Cost price for A lira=$100-10% of 100=$100-0.10×100=$100...

Q: solve each of the inequalities. s ≥ 4.5 + 0.25s

A: Given  s ≥ 4.5 + 0.25s

Q: F = 10(x - 55) + 60 where is the cost , in dollars , of the fine if a person is caught driving x mil...

A:

Q: The Fourier series of the periodic function (0.5x f (x) = {o.5x +1 -2<x<0 0<x< 2 where T = 4 has: A-...

A: From symmetry of Fourier Series..

Q: Run a regression analysis on the following data set with y as the response variable. X y 67 | 37.6 6...

A: The data set is given by       x           y     67        37.6    69.9      37.4    54.9       33.5...

Q: express each interval as an inequality using the variable x. For example, we can express the interva...

A: Given we can express the interval [5, ∞) as x ≥ 5.

Q: 3. ai) Find the integral x sin x dx. 1) Evaluate dx.

A:

Q: O{x € R\x² +1 = 0 Ofxezlx² = 9}

A: Set theory: x∈R|x2+1=0x2+1=0x=±iWhich is not in real number.So this set is empty set.

Q: Solve each by setting up and solving an appropriate equation. A total of $500 was invested, part of ...

A: The total investment is $500. Let x be the part of the amount invested at 7% interest. Let 500-x be ...

Q: Negative?

A:

Q: Simplify the expression

A: Given that : The expression is 2x + 1x2 + 4x + 4 - 6xx2 - 4 + 3x-2 .  

Q: Solve for the specified variable.

A: The given expression for the period of the pendulum is, T=2πlg We need to solve the equation for l w...

Q: Consider the system of equations x - 5y = 8 and 3x + 2y = 7 . Which of the following ordered pairs s...

A: The given system of equation is: x-5y=8         ...... (1)3x+2y=7       ...... (2)

Q: simplify each of the numerical expressions. -72 + 52

A: To simplify a numerical expression having two or more operations, we perform operation like: divisio...

Q: A one compartment vertical file is to be constructed by bending the long side of an 8 in. by 14 in. ...

A:

Q: A particular brand of toilet paper is offered at two stores in different kinds of packaging. To prac...

A:                                           The Sam's Club package:a. Contains sheets of toilet paper ...

Q: solve each equation. |3x - 4| = 14

A: From the given data:  

Q: How many different arrangements could be made using the following lettersA B A C E A H L C B

A:

Q: Simplify the expression (x +3)(x - 11)

A:

Q: Solve the inequality, and express the solutions in terms of intervals whenever possible.

A: Given inequality is 7x+2&gt; -2.

Q: Simplify the expression

A: The given expression is, x+2x+a+2ax-a To simplify the whole expression, we first simplify the term o...

Q: What is the asymptote?

A: An asymptote of a curve is a straight line such that the distance between the curve and the straight...

Q: Simplify the expression (z + 4)(2 - 3)

A:

Q: solve each equation and express the solutions in decimal form. Be sure to check your solutions. Use ...

A: To solve the equation: 1.2x+3.4=5.2 Solution: Given  equation is 1.2x+3.4=5.2 Subtracting 3.4 on bot...

Q: use an algebraic approach to solve each problem. Find the discount sale price of a $72 item that is ...

A: The cost price of the item is given as $72 The discount offered on the item is 35% The discount is g...

Q: Please help

A:

Q: simplify each of the numerical expressions. -8whole1/4 + (-4whole5/8) - (-6whole3/8)

A: The given numerical expression is, -814+-458--638 On making the reduced fraction into the proper fra...

Q: Suppose that the cost C (in dollars) of removing p percent of the particulate pollution from the smo...

A:

Q: list the elements of each set. For example, the elements of {x|x is a natural number less than 4} ca...

A: It is given that, y is an integer less than 3.

Q: Internet use An equation that models the number of users of the Internet is y = 11.786x² – 142.214x ...

A: Given data: An equation that models the number of users of the internet is given by y=11.786x2-142.2...

Q: Solve the equation.

A:                                          Given:  x2+13x+2=0Quadratic Formula: x=-b±b2-4ac2a-1=i∈ℂ  

Q: A homeowner has just installed a swimming pool with a capacity of 3.5 x 104 gallons. If the pool is ...

A:

Q: It takes you 32 seconds to walk from the first (ground) floor of a building to the third floor. How ...

A: Time taken to walk from First floor to third floor = 32 seconds Time taken to walk from First floor ...

Q: Example 3; if 0=30o between A* and B'find q value? A¨=2î +2j +4k , B=qî +j-2k

A:

Q: In an AP the 9th Term is 73 and the 4th Term is 43.What is the sum of the first twenty terms?

A: Given in an AP a9=73 and a4=43 To find S20=?

Q: Prove that if V is a two-dimensional real inner product space, then thecomposite of two reflections ...

A: If two dimensional real inner product space, let T1 , T2 are a reflections on V then,               ...

Q: Simplify the expression below. 2t(3t + 4)(t – 6) 6t - 28t- 48t

A:

Q: The table below displays the number of copies ordered by several customers at a printing company and...

A:

Q: Solve the equation.

A: Given- 8-5x=2+3x To solve- The above equation.

Q: Solve by using the quadratic formula.

A: Given quadratic equation is x2+4x+2. To solve using the quadratic formula. Solution: If quadratic eq...

Q: Given: L = v2 %3D M = 3/3 %3D N = V16 P = V9 Which expression results in a rational number? N + P P ...

A: Given:          L=2M=33N=16P=9 N+P=16+9

Q: Find the characteristic polynomial, the eigenvalues, and associated eigenvectors of the matrice

A: Find the eigenvalues and eigenvectors of                                 A=012003000 Start from form...

Q: raise each monomial to the indicated power. (-2x2y)5

A:                     Given: monomial with single term(-2x2y)5   To obtian: raising the indicated powe...

Q: Astronomers have estimated that the Milky Way galaxy contains 100 billion stars. Express this number...

A: 100 billion stars.

Q: Solve the inequality, and express the solutions in terms of intervals whenever possible.

A: Given: 2-11-7x-2&gt;10 We know that if x&gt;a, a&gt;0 then x∈-∞,-a∪a,∞

Q: Q1: For the position vector r = et cos(t) i + et sin(t) j+ etk, find the velocity and acceleration m...

A:

Q: Solve the inequality, and express the solutions in terms of intervals whenever possible.

A: To solve the inequality,  3≤2x-35≤7 If a≤f(x)≤b then a≤f(x) and f(x)≤b. Thus,  ⇒3≤2x-35 and 2x-35≤7