Given f(x)=3x+1, g(x)=√x+2 and h(x)=(x-1), simplify each of the following functions and state any variable restrictions.

Q: Determine which matrices are in reduced echelon form and which others are only in echelon form.…

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Q: Line M is given by: y = 2X + 12 Line N is given by: y = 5X +38 What is the horizontal coordinate of…

A: Given :Line M : Y=2X+12Line N : Y=5x+38

Q: Consider the function g(x)=x+3x³ - 19x² - 27x+k. • What is the value of k that makes (x-2) a factor…

A: Here we have to find the factor.

Q: 4(g-5)-3(2g-1)=7-2(9g+4)

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Q: Line M is given by: y = -8X+-26 Line N is given by: y = 6X + 28 What is the horizontal coordinate of…

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Q: Find all values of f, if any, for which the given matrix is invertible. f 1 B 1 ƒ 1 0 1 Enter…

A: Given matrix f101f101f   We are required to find the value of f for which the given matrix is…

Q: Find the least common multiple for the list of numbers. 20, 8, 4

A: The Least Common Multiple is the minimum number that can be divided with the given set of numbers…

Q: Domain and range:  2(x+2)(x-4)  full steps:

A: Given query is to find domain and range.

Q: 5. Two cleaning companies charge the following rates for cleaning an apartment. Company B $60 for…

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Q: Compare the investment below to an investment of the same principal at the same rate compounded…

A: Solution: The formula for compound interest is: A = P (1 + r/n)^(nt) Where: A = the future value of…

Q: The licensed prescriber orders Mevacor 30 mg po daily to be given with the evening meal. You have…

A: Given:- The licensed prescriber order mevacor 30 mg po daily to be given with the evening meal

Q: Graph this polynomial function by using its intercepts. f(x) = x³ + 3x² Plot the points that…

A: Given that:   f(x)= x3 + 3x2 - 4x -12.   We find x -intercept and y-intercept and plot this function…

Q: 21. Let v₁ = vi 0 V₂ == 0 Does (V₁, V2, V₁} span R4? Why or why not?

A: The answer is given below: Topic: Linear Algebra

Q: 3. Add the following matrices. [5 -2] [-8-41 3-4 +11 L5 7 6 10 -7]

A: Given query is to add the matrix.

Q: solve for x in the equation "8x - 3 = 5(x - 1) + 3x"

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Q: Solve the following linear systems. {2 x₁ − 3x₂ = 1 |2x₁ +4x, = 2 1+ 4x₂ = 0 1 2x₁+3x₂ −ª1 + 6x2

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Q: Line A is given by the equation: 8x + 7y = -12 Line B is given by the equation: 4x + 3y = -21 What…

A: Given: Line A is given by the equation: 8x + 7y = -12 Line B is given by the equation: 4x + 3y =…

Q: how to find the least common mulitpe of 20,8, and is 4

A: Here we have to find the LCM.

Q: Andy is exactly (to the day) 3 years older than Terry. What age will Terry be when Andy is exactly 3…

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Q: For questions 7-10, use the picture below to answer the qu…

A: Given:

Q: Mortgage payments Principal: $150,000.00 Interest Monthly Rate Payment 3% 4% 5% A. $4,500 C.…

A: Given query is to find the interest paid.

Q: 2. Verify that the function cos(t) S √t is a solution of the differential equation y = √ã -dt dy 2x-…

A: We can prove the given result by using the following concepts.

Q: If P=0.2�=0.2 , what is 84⋅P4(1−P)184⋅�4(1-�)1 ?

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Q: Line A is given by the equation: -1x + 7y = -76 Line B is given by the equation: 0x + 8y = -54…

A: Given Equations:- -1x+7y=-76...................i0x+8y=-54......................ii

Q: 1. (Compound Interest) Finding F, P, I, j.t Formula: I= F-P n=tm i=j/m F = P(1 + i) n P=F(1 + i) CV…

A: Given that  F=P(1+i)n,  where F- Compound Amount           P- principle amount           i=jm where…

Q: Task 3: (a) Define the concept of linear dependence. Consider the functions cos²x, sin²x and cos(2x)…

A: see below the answer and explanation

Q: 1. Simone planted a tomato plant and measured its heigh weekly, The total height at 2, 3, and 4…

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Q: = -125m^6n^9 -125 m^6 = 5im^3n^4√√-56 n^9 - -1 255 m^6/2 - √n^8 ix5x√5 xm²³ xn8/2 * v=n -n

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Q: Problem 1 H4 1 x x √E dydx

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Q: 3. In which table does y vary directly as x? A. C. y X y 1 1 2 4 3 4 B. 9 16 1 3 2 4 -4 -3 -2 -1 D.…

A: We have to find in which option y is direcy varies as x.

Q: ) Consider the first order differential equation For each of the initial conditions below, determine…

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Q: Let E, F and G be three events in S with P(E)= 0.53. P(F) = 0.62, P(G) = 0.42, P(ENF) = 0.34, P(ENG)…

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Q: What function represents the data in the table shown? X у О а Ob Oc Od -2 0 y=3x - 2 1 y= y= -x + 3…

A: The given table, x 0 2 4 5 y -2 4 10 13 We have to find the function equation for this…

Q: Of the following points, which belong to the same line? (5, 2), (-5, -1), (2, 1) (-8, -12), (6,…

A: The set of points which belong to the same line.

Q: At 7 a.m., a colony of 100 bacteria is placed on a petri dish where the population will triple every…

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Q: he function f(x) = 4x + 3 is one-to-one. Find an equation for f1, the inverse function. Verify that…

A: Given query is to find inverse function.

Q: Find f(g(x)) and g(f(x)) and determine whether the pair of functions f and g are inverses of each…

A: Solving the problem by finding the pairs are inverse to each other or not.

Q: Q5. Find z (1) 3 log, 2+log, 25-log, 20 = log (2) logą z + logs (2-3) = log, 10 (3) Inz-10.1285

A: As we know from the logarithmic properties: 1). logbxa=a·logbx  where x,b>0, b≠1 2).…

Q: POS FOTO + water qan 900 G 22 dogoang 9+ ** e apeOP + PIL

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Q: 4w-15=9w-5(w+3)

A: We have to find the value of w according to the given information

Q: Find one possible missing coordinate so that the point becomes a solution to the given inequality.…

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Q: Given that log 2 = x, log 3 = y and log 7 =x, express the following expressions in terms of x, y,…

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Q: 9. What is the missing number? ? 37 [17 3 × = [130 189] ] [ X 9 4 -5

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Q: Prove that if V is a vector space, then its additive identity is unique. That is, show that if 0 and…

A: Prove that if V is a vector space then its additive identity is unique.

Q: 7z-3=4z+3z+4

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Q: 7 -1 0 Given A= 2 5 1 6 find A+l3 -3 2

A: Given,            A=7-102165-32To find : A+I3We know that,           The identity matrix of order…

Q: La solución al sistema de ecuaciones es: x + y + z = 6 2x + 5z = -4 (2x + 5y z = 27

A: Introduction In a mathematics , a system of linear equations is a collection of one or more linear…

Q: f Find f + g, f-g, fg and Determine the domain for each function. g f(x) = 6x-8, g(x)=x+3

A: Given query is to find indicated function operations.

Q: 1. Solve the following inequalities using an algebraic method, show all work. x²+2x-3 a) 2x³7x²17x +…

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Q: Example 1. 6. Repeat Exercise 5 for a nonzero 3 x 2 matrix. Find the general solutions of the…

A: NOTE: Refresh your page if you can't see any equations. . the given augmented matrix is