Rationalize the denominator. V45 V35

Q: 12 + 4j express both (a) – and (b) z +- in the form x + yj. If z =- 9- 7j ... (Simplify your answer....

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Q: Use the given parallelogram FARM, to answer the questions number 8-15. F M R 8. If FM = (3x -7)m and...

A: A parallelogram FARM is given, we find the following Note:    Multiple parts are given, we are answe...

Q: 3x-21 )Find the domain and range of the rational function w(x) = %3D 3x2 - 20x -7 A) Factor the nume...

A: Given query is to find the domain and range of the function.

Q: Combine the like terms for problems 1-3. 1. (x + 4) + (2x – 11) 2. (3a2 – 9x + 2) + (8x2 – 10x - 3) ...

A: Since you have posted multiple questions i can do first question (1-6) as per our company guidelines...

Q: olve each proportion using your preferred method: 7 n+1 8 2 10 m 9 2 %3D 5

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Q: Explain why the polynomial rings R[x] and C[x] are not isomorphic.

A: Suppose there exists an isomorphism φ:R[x]→C[x]. Because isomorphisms are by definition surjective, ...

Q: Solve the following system by the method of your choice.   x3 + y = 0 2x2 + y = 0   The solution set...

A: The given system is: x3+y=0                          .... (1)2x2+y=0                        ....  (2...

Q: 9) Find the value of x 24 18 12 6. R x+5

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Q: ∆ ABC has coordinates A(2, 3), B(4, –2), and C(3, 0). After a translation the coordinates of A′ are ...

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Q: Find the quadratic equation given two roots using x^2 - (r + s)x + (r ⋅ s) = 0 1. 3 and 7 2. 4 and ...

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Q: If R(x) represents the company's revenue when selling x items and C(x) represents the company's cost...

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Q: Tom rented a truck for $50 plus 35 cents per mile. The total bill came to $64.70. How many miles did...

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Q: Write each whole number as a mixed number. 1. 12 = 11 3 = 25 21 = 20 %3D %3D 42 = 41 ; 28 = 27; %3D ...

A: As per our guideline we are supposed to be answer first three subpart of the number you can repost o...

Q: department store sold 53 shirts one day. All short-sleeved shirts cost $10.00 each and all long-slee...

A: Given query is to find the number of each type of shirt sold.

Q: Use the Rational Zero Theorem to list all possible rational zeros for the given function. f(x) = - 3...

A: By rational zero theorem possible rational roots=factors of constant termfactors of leading coeffici...

Q: Use synthetic division to divide the polynomials. 5 4 3 2x + 3x* – 108x²+ 274x 2 111x+ 54 – х— 3

A: Divide the polynomial using synthetic division 2x5+3x4-108x3+274x2-111x+54x-3=?

Q: Consider the following situation: enrollment at a school is initially 322 students and grows by 4% p...

A: Given: Enrollment at a school is initially 322 students and grows by 4% per year. To find: An equati...

Q: Find an equation of the parabola with vertex (-1,3) and directrix y=7 .

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Q: 4. When Armando became a new father, he decided to put up a fund by depositing P12,000.00 at the end...

A: Given information: P12,000.00=The amount of the semi-annual installment5%=compunded interest being p...

Q: What is the equation of the line that passes through the point (-4,6)(−4,6) and has a slope of -5/4?

A: Given query is to find the equation of the line that passes through the point (-4,6)(−4,6) and has a...

Q: Molly is making strawberry-infused water. For ach ounce of strawberry juice, she uses 3 imes as many...

A: Topic:-  algebra   

Q: 2x + 2x- 2 For p (x) = x*+5 (a) Identify the horizontal asymptotes (if any). (b) If the graph of the...

A: Given that p(x)=(2x^2+2x-2)/(x^2+5)

Q: Solving a linear Ocn3) Ax=b for an nxn matnx A system opeations. (using Groussian eliminahion) alvin...

A: the Gaussian elimination method is known as the row reduction algorithm for solving linear equations...

Q: A vulcanizing shop has a trapezoidal drum that is 5 meters long, 1.5 meter wide at the top, 1 meter ...

A: Given: A drum of length : 5m The drum has a cross section of isosceles trapezoid with length of para...

Q: Directions: Solve the following problems. Show your complete solutions. 1. A table cloth is cut into...

A: Topic:- geometry   Note:- as per our guideline if more than one question uploaded than only first qu...

Q: Given f(x) = |3 – 5æ|, find the following: f(11) = f( – 4) = f(4) = f(2) =

A: Given query is to find the value of the function at indicated value of x.

Q: Sales and Pay Diego got a job selling bags of peanuts at the local art festival. He is paid a fixed ...

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Q: In Problems 8 O and 90, perform each row operation on the given augmented matrix. [1 -3| 8. 2 -4 8 a...

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Q: Use an amortization table to solve the problem. Round to the nearest cent.  A bank makes a home mor...

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Q: There is a set X = {1, 2, 3, 4, 5}. Find the sets A, B, C such that A ⊆ X, B ⊆ X, C ⊆ X, (A ∪ B) ⊆ (...

A: Here we will find sets A,B,C;

Q: 4) A truck is carrying pear juice, cherry juice, and apple juice bottles in a ratio of 3:1:3. If the...

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Q: Solve the following system of equations by using the substitution method. x+ 7y = 4 x-6-7y Select th...

A: Given: x+7y=4................(1) x=6-7y....................(2)

Q: For the given values of n and d, find integers q and r such that n = dq +r and0sr< d. 1. n = -47, d ...

A: Given the integers n=dq+r

Q: Simplify: (8 – V2)²

A: (8-2)2 using identity (a-b)2=a2+b2-2aba=8 , b=2  

Q: 9. The kilograms of rice remaining in the restaurant, R, after w weeks can be represented by R(w) = ...

A: Given:- The kilograms of rice remaining in the restaurant, R, after w weeks can be represented by R(...

Q: Functions, rational roots, and synthetic division

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Q: Solution A is 30% acid and solution B is 60% acid. How many gallons of each solution must be used to...

A: This question is based on word problem.

Q: 3. Use the quadratic formula to solve the equation r2 -3r - 7 = 0. Give your answers as radicals, no...

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Q: -2 2. 型 券

A: The objective is to find the factors.

Q: 3. (e'+1)2 ey dx + (e* + 1)³ e* dy = 0

A: Follow the procedure given below.

Q: Water Bottle Cost Estimates Fill It Up, Inc. • $4 per bottle Bottles by Bob, Co. • $25 set-up fee • ...

A: Here we use the concept of the linear equations.

Q: 1. Complete missing values for this unusual function. y = the number of factors of the number x y 4 ...

A: The objective is to complete the missing values. 

Q: Find the quadratic equation given two roots using x^2 - (r + s)x + (r ⋅ s) = 0 1. 4 and 5 2. 6 and ...

A: topic - quadratic equations

Q: Determine if the function is an exponential function. f(x)  = abx

A: Given that: f(x)=abx

Q: The graph of y= Va is given below: %3D Find a formula for each of the transformations whose graphs a...

A: We will find the formula for the given graphs.

Q: 3​(x−5​)+17=2​(x+4​)   What is the​ solution?

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Q: In a pen, the number of roosters is 4 times the number grouper of chickens. If 4 roosters and 4 hens...

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Q: Find the x- and y-intercepts of the parabola y = x² + 4x + 2. Enter each intercept as an ordered pai...

A: Topic:- geometry 

Q: Solve by the elimination method. 2x +3y 2 4x +6y 4

A: Given query is to find the solution of the system of equation using elimination.

Q: Which expression represents the number i+V-81 + i2+v-36 rewritten in a + bi form? O -15 + 0i O -1+15...

A: Given that:  i4+-81+i2+-36