Given functions h(x) = = interval notation. h(x) p(x) Domain of h(p(x)) : Domain of : Domain of p(h(x)) : Question Help Video and p(x) = x² - 4, state the domains of the following functions usir

Q: Complete the description of the piecewise function graphed below. { f(x) = { 5 ✔ { Lap 3 CH 0-3 7 7…

A: To complete the description of the piece-wise function graphed below.

Q: Four boys, Oliver, Howard, Cody and Cole saved some money. Howard’s savings was 5/6 of the total…

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Q: Given det det 4 abc de f ghi -3e 7e+b b-h -3f 7f+C C-i -3d 7d+ a a-g = -5, find the following…

A: Given;  Det [ a b c          d e f        = -5.          g h i]

Q: ĐỨN 2 5

A: To find the slope of the line graphed below.

Q: The product of two numbers is 2883 and their GCD is 31. Find their LCM.

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Q: A matrix A and an echelon form of A are shown below. Find a basis for Col A and a basis for Nul A. A…

A: Please see the below picture for detailed solution.

Q: 6. Consider the matrix (a) (b) A = -7 -3 8 18 Find the eigenvalues of A. Find the corresponding…

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Q: Given that f(x) = 5 In 2x, find f^-1 and give the domain and range of f^-1(x)

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

Q: -0 Matrix A = 2 -2 (a) a 3 (b) a 0 (c) a 5 -10 is invertible iff 15

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Q: The RSA ciphertext 97618045 was encrypted using public key (e, n) = (5, 105679573). There is reason…

A: To factor the modulus n = 105679573, we first calculate the value of φ(n) = (p - 1)(q - 1), where p…

Q: Evaluate each of the following limits. If you need to use co or -00, enter INFINITY or -INFINITY,…

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Q: A phone company offers two monthly charge plans. In Plan A, the customer pays a monthly fee of…

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Q: There are 2 red crayons, 3 blue crayons, 1 black crayon, and 4 green crayons left in a box of…

A: Here we have to find the probability.

Q: The function has a maximum of The function has a minimum of at x = at x = The function is increasing…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

Q: The sum of three numbers is 15. The sum of twice the first number, 3 times the second number, and 4…

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Q: Given f(x) = x², after performing the following transformations: shift upward 98 units and shift 43…

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Q: Suppose that f is a linear function such that f(3) =3 and f(7) =−4  Find the equation for f.

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Q: Let = [-3 1] and = [1 2]. Find the following vectors. [ ]]. ]]. u = 7y= = [1 w = 2x + 7y = [ v=27=…

A: Given: Let x→=[-3  1] and y→=[1  2].

Q: If the determinant of the the matrix a b 2x 9 is 16, then the value of x is: A = 1 0 004 Answer…

A: Given:Matrix A=1ab02x9004Determinant of matrix A is 16   We are required to find: The value of x.

Q: 13 Determine whether the sequence converges or diverges. If it converges, find the limit. (If the…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 6. Determine the validity of each of the following statements. If the statement is true provide a…

A: Solution- (a) False. Consider the line passing through the points (1, 0) and (0, 1) in R2. This line…

Q: Prove that the quadrilateral with vertices A(0,0),B(4,3),C(7,-1) and D(3,-4) is a square.   Prove…

A: ABCD will be a square if all its sides are equal.⇒AB=BC=CD=DA must be satisfied.Both the diagonals…

Q: How do you define radicals in general? For example what is a fifth root of a number

A: Sol:-  Radical is simply telling us that how many time a number will be multiplied by itself to give…

Q: Let p(x) = 5x - 2 and g(x) = 3x – 1. Find a. p(x) - q(x) = b. p(x) + q(x) = c. p(x)q(x) = Preview…

A: Given p(x)=5x-2, q(x)=3x-1

Q: A skater crossed a frozen river 1 mile wide in 5 minutes with the wind behind him. It took him 15…

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Q: show all steps please, box answer please! (2) Y = 11x + 25y 16x+2y Ly M

A: The given system of differential equation is x'=11x+25yy'=16x+2y

Q: Lollege Algebra You Ready 3.6 Solve the equation for the variable y. x=(2y+4)/(5). No hand written…

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Q: Find the number of combinations (subsets) of 11 things taken 4 at a time. The answer is…

A: Crn=n!(n-r)!×r!n!=n(n-1)(n-2)(n-3)......

Q: Find the equation of the line that contains the point P(3, 5) and is parallel to the graph of 3x + y…

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Q: 2. Suppose you want to save enough money to get a new car. You'd like to save $28,000 over 3 years.…

A: We have given FV=28,000time; t=3 yearn=4 timesr=4.7%=0.047to find? PMTFormula: as given

Q: Find || projau || if u = (2,4) and a = = (3,-1). NOTE: Enter the exact answer or round the exact…

A: projau=u.aa2a   For two vectors u=u1,u2 and a=a1,a2a.u=a1×u1+a2×u2   For any vector x=x1,x2x=x12+x22…

Q: Graph g. Then, write an explicit equation for g(x) in terms of x.. 13. g(x) = f(x + 2) 14. g(x) = -…

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Q: answers to one decimal place.) Y-7√441-2.V-0 an-(al by the graphs of the equations. Use the…

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Q: The frequency, or pitch, of a musical note varies inversely with the wavelength. The speed of sound,…

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Q: 1. XXL5 X X X 1 x: X 25 X X 3 5 Fraction of a Meter of Growth X X X X + 4 5 0 Mrs. Green's class…

A: Given number line :-

Q: Solve the system of differential equations. x1'= −3x1 + 1x₂ | x2'= −1x1 – 5x2 x₁(0) = −11, x₂(0) =…

A: Solve the system of differential equations x1'=-3x1+1x2 x2'= -1x1-5x2 x1(0)= -11, x2(0)=-9

Q: Use a graphing utility such as Desmos to help you graph r(x) = x² - 4 on the Cartesian plane to the…

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Q: ³ let v = 2 and w [12] 3 -3 5 7 ow that is perpendicular to v.

A: Given query is to show the vectors are perpendicular.

Q: Find the scalar triple product u. (vxw). u = ( − 6,1,3), v = (3,6, - 8), w = ( − 4,3,2) · (vxw) =

A: Topic = Vector

Q: 2. The Polynomial P is a function of x. The graph of P has four zeros at -2, 3, 2, and 13 -Which…

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Q: inimize g = 6y₁ +9y2 subject to 4y+3y2 2 26 Y₁ + 3y₂ 2 11. (a) Form the matrix associated with the…

A: We have  Minimize g=6y1+9y2Subject to4y1+3y2≥26y1+3y2≥11

Q: E. Partial Fraction Decomposition Use a system of equations to write the partial fraction…

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Q: 6 5 4 3 2 Hr 5 5 4 57 3- 2 P T 2 3 4 5 4 -2 -5 6+ 1 2 3 4 5 6 The graph above is a transformation of…

A: Since parabola is open down word, parabola is of type y=-x2

Q: The drag force F on a boat varies jointly with the wet surface area A of the boat and the square of…

A: Given : The drag force F on a boat varies jointly with the wet surface area A of the boat and the…

Q: 5. Describe the transformations of f(x) = -√(x + 2)²³ + +3 from the base function g(x)=x².

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Q: Use set-builder notation to describe all real numbers satisfying the given conditions. Four times…

A: Four times the sum of one and a number is denoted as 4n+1 where 'n' is a number as mentioned.

Q: Find the quotient and simplify. X HÀNH X-9 + X +X-12 x-9 X 450H1 X AX-12 X-9 x-9 (Type your answer…

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Q: Starting with the graph of f(x) = 4*, write the formula for the function that results from (a)…

A: Graphing the following exponential function satisfying the point (0,1)

Q: When a crew rows with the current, it travels 18 miles in 3 hours. Against the current, the crew…

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Q: Given F(x)=x² + 4x +9 and g(x)=x+2, then frxxj f(x) =X+2+ C for what value of C? 9(x) x+2 2

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