Let f(x) = x² 1 and g(x) = x – 2. - Find the following: f(x) · g(x)

Q: You are dealt one card from a standard 52 -card deck.Find the probability of being dealt an ace.

A: Total number of cards = 52Number of Aces in deck = 4

Q: Find the hourly wage for a person with an income of $60376, who works 57 hours a week for 44 weeks .…

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Q: Algebraically show that each of the given combinations are equivalent to the given functions. If…

A: Given query is to find that functions are equivalent or not.

Q: Examine the graph of the function f(x) 10x+3x-12r. %3D

A: Given f(x)=10x3+3x2-12x

Q: Question 7 Find the determinant of the matrix 6. 3 2 4 0 9 -4 1 8 -5 6. 7 1 3 0 0 4 3 2 0 A) 9 B 5…

A: This question is based on determinant calculation.

Q: 32, 22, 12, 2, . Find a28 =-248 O a23 = -238 a23 = -221 O a28 = -275

A: 32,22,12,2 ......a1=32 , a2=22 , a3=12d= a2-a1 =22-32d=-10nth Term be given as an=a1 +(n-1) dn=28

Q: (7) The annual rates of return for a stock is given in the table below: Year 1 4 Rate of return 5%…

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Q: On a windy morning, a hot air balloon starts rising and flying away from the top of a hill.  The…

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Q: = x² + 2x – 8,and Let f(x) = 2x + 8, g(x) h(x) = 3x 6. Perform the indicated operation. (Simplify as…

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Q: Answer the questions below about the quadratic function. f(x) = 2x²– 4x – 2 Does the function have a…

A: Given that - f(x) = 2x2 - 4x - 2

Q: assumes

A: Please refer to the image below

Q: Using data from 2010 and projected to 2030, the U.S. crude oil production, in billions of barrels,…

A: We need to find t and production in 2015.

Q: 2(х — 2) > 6 b. Зх > 5х — 8 с. —1 < -х +9<11 а.

A: a 2(x-2)&gt;6 (x-2) &gt; 3 x &gt; 5 b 3x&gt; 5x -8 -2x  &gt;  -8 x &gt;  4 c -1 &lt; -x + 9 &lt; 11…

Q: Let f(x) = -3x² and g(x) = 2x – 6. Find and simplify_the following. | g(f(x)) = b. f(g(x)) =

A: f(x)=-3x2, g(x)=2x-6a) g(f(x))=g(-3x2)=2(-3x2)-6=-6x2-6g(f(x))=-6x2-6

Q: If f(x) = |x| and g(x) = -f(x + 4) +2. %3D a. State the transformation(s). c. Graph g(x) below с. b.…

A: 18)a) Reflection over x-axis     Horizontal translation left by 4 units     Vertical translation up…

Q: 11. What is the vector which is orthogonal both to 9i + 9j and 9i + 9k? B. 81i – 81j – 81k A. 81i +…

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Q: Simplify log,6252. а. 2 b. 4 C. 6 d. 8 a) b) c) Od) PAN %24 4 2. T. R Q F G D OOO0

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Q: You are dealt one card from a 52-card deck.Find the probability that you are not dealt a diamond

A: We can find the probability as below.

Q: Let f(x) = 4x – 5 and g(x) = 3x² – 4x + 4. %3D %3D (a) Find f(g(4)). (b) Find g(f(4)).

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Q: Question 5 Find the determinant of the matrix, a b 2d + a 2e +b 2f +c h i where a d f = 7. e i A) 21…

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Q: Question 12 The value of x, for x + 7, За+5 and 3x+1 that makes the two rational expressions equal…

A: We can find x by cross multiplying the terms.

Q: In Pennsylvania, state sales tax is used to pay for services provided by the state. The sales tax…

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Q: Ava's heart rate is 65 beats per minute. Caiden's heart rate is 70 beats per minute. 1. If this is…

A: 1 year = 365 days 1 day=24 hours 1 hour=60 minutes

Q: Find the quotient and remainder using long division or synthetic division. 23 + 2x? 19х — 15 x + 5…

A: Use long division to get the quotient and remainder

Q: a3 = 37 and a17 = -12 Find a1o

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Q: Diseases tend to spread according to the exponential growth model. In the early days of AIDS, the…

A: Note that, the exponential model is given by: y=a(2.1)t where a is the initial number=1700 and t is…

Q: In x+ 9ln y A) In X y9 B) In (x + 9y) C) In 9xy D) In xy a) b) O c) d)

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Q: Solve the equation by graphing. 2-9 =0 First, graph the associated parabola by plotting the vertex…

A: Graph the curve by finding certain point on the curve.

Q: Let x, y, u and v be row vectors in R° obeying: х 3 (2, —1,3), у 3 (-3, 2, 2), У 3 (-3, 2, 2), X=…

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Q: Let f(x) = (x – 2)² + 2, g(x) = 6x – 10 , and - 4 | h(x) 2 Find the following (Simplify as far as…

A: I am attaching image so that you understand each and every step.

Q: We can write log, into the form A log, r + Blog, y where A = and B = Write A and B as integers or…

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Q: State whether each statement below is either true or a. {1} c (0,2) b. {1} € (0,2) and C123. d (42…

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Q: Answer the questions below about the quadratic function. g (x) = 3x+6x +7 Does the function have a…

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Q: 7. Find the area of the triangle whose vertices are (0, 1, 2), (-1, 2, 1) and (5, 1, 2). D.12 4 C.…

A: I am attaching image so that you understand each and every step.

Q: This equation is all about the exponential growth and decay functions. In which tell whether the…

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Q: What do you think the factored form of any polynomial would tell you about the behavior of the…

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Q: Which one of the following sequences is an arithmetic progression? O 3,6,12,24,48,. O 1,4,9,16,25. O…

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Q: Graph the function. f(x) = 2/x-4 Plot four points on the graph of the function: the leftmost point…

A: Given query is to find the graph of the function.

Q: 4. f(x) = tan(x) – 2 Period: Sn Positive Asymptote: Negative Asymptote: y-intercept: -2

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Q: 9. Find the equation of the hyperbola: 25 Center: 20 a: b: 15 Equation: 10 -3 -54 6, 6,

A: Since the student has mentioned to solve question number 9, so we are solving only question number…

Q: Which is an example of not a Proposition? Select one: a. 1+2 = x O b. 2+x = 5, x = 4 O c. x-x = 0 O…

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Q: The height of a triangle is v15 in and its base is v21 in. What is its area? The distance between…

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Q: Find the distance between u = -4 and z = The distance between u and z is (Type an exact answer,…

A: u=u1u2u3=0-42z=z1z2z3=-4-16The Euclidean distance between u andz…

Q: 5. Work Rate An office contains two printers. Machine B is known to take 3 minutes longer than…

A: Let Machine A takes x minutes then B takes 3minutes loger than A, so it will take x+3 minutes

Q: Evaluate: (13 – 10i) -2088 O -1042 O -517 O -2084

A: Given query is to find the sum.

Q: each) Let f(x) = Vx + 6, g(x) =÷ Find and simplify the following and write %3D %D mains. a. b. (f -…

A: We have to find the indicated function and its domain.

Q: Suppose that you have $10,000 to invest. Which investment yields the greater return over 7 years:…

A: Given problem:- Suppose that you have $10,000 to invest. Which investment yields the greater return…

Q: In a mathematical sentence 7=2+5, what is the verb?

A: Since an open sentence containing the sign '=' is called an equation.

Q: The graph of a rational functionf is shown below. Assume that all asymptotes and intercepts are…

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Q: solve  (-y)(y^2)

A: