Factor f(x) = 3x³ + 10x² - 43x+30 into linear factors given that -6 is a zero of f(x). f(x) = 3x³ + 10x² - 43x+30= (Factor completely.)

Q: Solve the following system of equations. x - 3y + 3z = 4 2x + 3y z = 15 4x - 3y -z = 19

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Q: Linda needs to have her car towed. Little Town Auto charges a flat fee of $65 plus $3 per mile…

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Q: Katie invested a total of $6000, part at 3% simple interest and part at 4% simple interest. At the…

A: You have asked multiple questions, we will solve the first question for you. The rest can be asked…

Q: Completely factor the polynomial: −10x^3+20x^2−14x^2+28x

A: NOTE: Refresh your page if you can't see any equations. .

Q: Find the accumulated value of an investment of $15,000 for 7 years at an intere rate of 7% if the…

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Q: Given functions f and​ g, find ​(a) ​ (f◦​g)(x) and its​ domain, and ​(b) ​ (g◦​f)(x) and its…

A: Given query is to find indicated function and it's domain.

Q: 1. Construct an example of a function that satisfies the following conditions: a) Its domain and…

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Q: Find the first u terms in the maclaunin series for Ⓒy=e

A: Given function is y=ex We need to find first four term in maclaurin series of given function

Q: Graph the line with slope 2 passing through the point (-3,-5).

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Q: The balance on a $6000 loan is reduced by each monthly payment. If the payment is $250 per month,…

A: 1. given  balance = 6000-250m                                   where  m is number of months the…

Q: Consider the line y 3 --x-6. 4 Find the equation of the line that is perpendicular to this line and…

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Q: Factor the GCF from the polynomial. 27y³ -9y² + 15y ⒸA. 3y(9y²-3y + 5) OB. y(27y² - 9y + 15) OC.…

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Q: C) What is the equation for the function above? Show work to justify your equation. *

A: Topic = Functions

Q: 5. twenty-one and one hundredth

A: Given query is to write the statment as expression.

Q: Find the scale ratio for the following map. 1 inch on the map represents 6 miles The scale ratio is…

A: To find the scale ratio for the following map. 1 inch on the map represents 6 miles.

Q: 2-1: Assignment October 26, 2022 The function g(x) = (x + 2)² + 4 is a transformation of the parent…

A: Topic:- calculus

Q: Give the equation of the line passing through the point (5, 29) that is parallel to y = 5x + Write…

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Q: How do the graphs of f(x) = |x| and g(x) = -2]x] compare? OA. The graph of g is a vertical…

A: Given query is to find the transformation performed.

Q: Find the intercepts and asymptotes. (If an answer does not exist, enter DNE. Enter your asymptotes…

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Q: Factor the difference of two squares. 25x² - 36

A: Given data, 25x2-36

Q: Assuming that a #0 and 3 # 0, then the solution of the system 3ax + 3y = 2 2,8x - ay = 1 is... O O O…

A: Topic = Algebra

Q: A riverboat travels 78 km downstream in 3 hours. It travels 88 km upstream in 4 hours. Find the…

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Q: Find an equation of the line that passes through (2,3) and is perpendicular to y = 2x - 7.

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Q: Divide. (-18vx+141³x²+91x6) ÷ (-3√³x²) 32 Simplify your answer as much as possible. 2 35 -18 + 14v x…

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Q: Use the graph to determine a. open intervals on which the function is increasing, if any. b. open…

A: Increasing Function :- A function is said to be an increasing function if the value of y increases…

Q: Evaluate the piecewise function at the given values of the independent variable. f(x)= (a) f(-4) (b)…

A: Topic -Functions We are given, f(x)=2x+3if x<02x+6if x≥0

Q: Use the graph below to determine the equation of the circle in ​(a)​ center-radius form and ​(b)…

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Q: * Findleg: fix) = dx²-3x + 1* Calculate f(-8)= (-8) ²-3(-8) +1 = 2-64 +24+1 = 128+24+| #153 151 105…

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Q: What word phrase can you use to represent "8 + 3N = 5N - 3" * The quotient of 8 and three times N…

A: Since you have posted multiple questions, as per guidelines we are supposed to answer only first…

Q: diagram of the lawn is shown. x fti 30 ft 45 ft x ft A landscape designer wants to increase the…

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

Q: Find the first y terms in the maclaurin series for - X ५० मेरे

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Q: Yesterday, Austin went on a bike ride. His average speed was 10 miles per hour. Today, he went on…

A: Topic:- algebra

Q: Is 7/4 and 8/6 star polygons or regular polygons, and what type?

A: Both are star polygon

Q: Solve the inequality. (Enter your answer using interval notation.) (x-5)/(2x+9) ≥ 1

A: Given inequality  x−52x+9≥1

Q: Graph the line with slope −1 passing through the point (5, 1).

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Q: $12,000 $10,000 $8,000 $6,000 $4,000 $2,000 $0 $1,000 $6,000 Profit $1,500 $7,500 $2,100 Revenue…

A: Remark   Ration of revenue yo  profit =revenueprofit

Q: at the beginning of an experiment, a scientist has 228 grams of radioactive goo. After 240 minutes,…

A: At the beginning of the experiment, a scientist has 228 grams of radioactive goo. After 240 minutes,…

Q: Find the scale ratio for the following map. 1 inch on the map represents 2 miles The scale ratio is…

A: 1 inch on map represent 2 mile  we have to convert it into scale ratio this is the question of ratio…

Q: The doubling period of a bacterial population is 15 minutes. At time t=80 minutes, the bacterial…

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Q: Use synthetic division to determine whether the given number is a zero of the polynomial. 2 -2; P(x)…

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Q: d the product and write the result in stand (2-8 i)(-6-7i) -8 i)(-6-7i)= Simplify your answer. Type…

A: Solve the given

Q: Perform the polynomial division (x^2 + 3x − 10) ÷ (x − 2) using both the long division method and…

A: we need to do the long division and synthetic division.

Q: Use the graph to determine a. the​ function's domain; b. the ​function's range; c. the​…

A: Follow the procedure given below.

Q: 11. Mackenzie thinks she has found the equation for a function's inverse. She graphed the two…

A: Basic information:  Inverse functions are mirror images across y=x axis.    Given information:

Q: 3. In one day a movie theater collected $4275 from 675 people. The price of admission to a movie is…

A: Let the number of adults =x and number of children=y

Q: Find the vertex of the graph of f(x) = 10.25x -0.751. 0.0 vertex:

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Q: Answer the following piecewise functions. Example: f(x) = Find: 1.) f (0) x2 x² + 3x - 7 2 x² + 4 12…

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Q: The tables give some selected ordered pairs for the functions f and g.   x 5 8 12 f(x) 9 5 7…

A: Given data÷ x 5 8 12 f(x) 9 5 7         x 10 4 13 20 g(x) 8 5 12 21

Q: Let g ={(-2,1),(-1, 2), (0, -2),(1, -1),(2, 0))}. Find g(2) - g(1) + g(0). 03 2 Oo O -3 O-2 O 1

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Q: Graph the given functions, f and g, in the same rectangular coordinate system. Use the integer…

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