Directions Given that x and yvary inversely and that yis 24 when xis 8, sketch a graph of this inverse variation function for x > 0. Please choose one option to complete this activity.

Q: Finding the x ands y intercepts of  3x^2-x-2=f(x)

A: As we know that, To determine x-intercept we need to solve for x after substituting y=0. And To…

Q: Lush Gardens Co. bought a new truck for $54,000. It paid $5,400 of this amount as a down payment and…

A: Given that , Total amount = $54000 Down payment = $5400 Rate = 4.47% compounded semi annually If the…

Q: 36037345 7 105375107822 430144207 207953039534187281 260403572141410074 3226124716264352…

A: There is nothing to answer.

Q: 6. Determine the slope of the tangent at x = 4 for f(x) = 15.

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Q: Let and w be vectors in R". Show that if ||v + w||² = ||v||² + ||w||² then and w are perpendicular.

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Q: Find the total mass M and the center of mass of the solid with mass density e(x, y, z)= kxy³(6-2)…

A: Given : Mass density : σ(x,y,z) = kxy3(6–z) g/cm3 Where , k = 8 × 106 The Region bounded by the…

Q: If $6400 is deposited in an account at the bank and earned 5% annual interest compounded quarterly,…

A: Formula used for compounded quarterly A = P( 1 + R4100 )4t where A = amount after time t P =…

Q: Use the graphs to evaluate the expressions below. 6 5 4 3 2 1 -1 +-1 f(x) 1 2 3 = 1 f(g(1)) =…

A: Given query is to find indicated composite function value.

Q: Perform a rotation of axes to eliminate the xy-term. (Use x2 and y₂ for the rotated coordinates.)…

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Q: Let f(x) = 5x + 3 and g(x) = 5x² + 2x. After simplifying, (fog)(x) =

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Q: Find the GCF for the list. 147y³, 245² The GCF is

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Q: g sets: •  elements in both Group 1 and Group 2 •  elements in Group 2 but not Group 1 •…

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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: The height y (in feet) of a ball thrown by a child is 1 y = — -x² + 2x + 5 16 where x is the…

A: The function is y=-116x2+2x+5 where y is the height  and x is the horizontal distances. (a) When the…

Q: Suppose you wish to borrow $700 for five weeks and the amount of interest you must pay is $20 per…

A: APR=Short term interest rate×52 weeksLength of loan

Q: In R³ let v = 2 and w 3- 3 -3] 5 7 Calculate u so that u = w - proj.

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Q: Let U={y|y∈ℤ}, A={y|y is an integer greater than 30}, and B={35,36,37,38,39,40}. Select the Venn…

A: We have to draw the ven diagram which represents U, A, and B. Where U={y|y∈ℤ}, A={y|y is an integer…

Q: Given the following functions, find each of the values: f(x) = x²+x-2 g(x) = x + 2 (f+g)(2) (f-…

A: Given functions  f(x) = x2+x-2 g(x) = x+2

Q: Describe how to get the altitude of the line y=-2x+10 that goes through the point (1,3). or. Class…

A: Given: y=-2x+10 To find: The altitude of the line

Q: ĐỨN 2 5

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

Q: A clothing business finds there is a linear relationship between the number of shirts, n, it can…

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Q: how to set e-8x^7(-56x6) equal to zero

A: Solution ) e-8x^7 ( -56x6) = 0 Product of  these two = 0   either  e-8x^7 = 0 or ( -56x6) = 0 But…

Q: . Consider the function T: R2 R³ given by T(x, y) = (x + 3y, 2x - y, -y). Using the definition of…

A: To solve the following problem and find whether T is a linear transformation.

Q: A number from 1 to 7 is chosen at random. What is the probability of choosing an odd number?

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Q: Identify the relationship: D

A: A graph of the scatter plot and its regression graph is given, we have to find its relationship.

Q: Use the graph of f(x) to evaluate the following: -1 Submit Question 6 5- -4- 3- 2 1 f(x) The average…

A: We have given graph of the function  From given graph  f4=5 f1=2 Average rate of change…

Q: In a football arcade game a 45 yard field goal is attempted. The initial position of the ball is (0,…

A: According to question,Given trajectory,y= -0.035x² + 0.7x

Q: If A and B are n x n matrices, then (AB)T = A. AT BT B. AT + BT C. (BA)T D. BT AT

A: given  A and B are n×n matrix

Q: 2 Log, 1÷7mn

A: Given  expression:- log71÷7mn2

Q: O This is a function O This is not a function > Next Question (₂ H U This is a function O This is…

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Q: How many proper subsets are there of the set {L, M, N, O}. The number of proper subsets is (Type a…

A: Given :Set :  L, M, N, O

Q: Given functions h(x) interval notation. h(x) P(x) Domain of h(p(x)) : Domain of p(h(x)) : Domain of…

A: Here we have to find the domain of the functions.

Q: what are some expreesions for 10 6

A: We have to slove above expression of 106

Q: 15 Solve. X = √√√x+13+7 3 12 3.12 IN and write interval

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Q: In questions 10-12, given r(x)=-3x, p(x)=x² + 3x, and g(x)=√√1-x, find the algebra of functions and…

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Q: Solve the given system of differential equations by systematic elimination. (D + 1)x + (D − 1)y = 3…

A: We begin by taking the derivative of the first equation: (D+1)(D+1)x + (D+1)(D-1)y = 0 Expanding the…

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: 1 Given f(x) * +11 Your answer will be an expression involving h. find the average rate of change of…

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Q: Suppose that the augmented matrix of a system of linear equations for unknowns x, y, and z is 13 3 1…

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Q: m 3

A: Coordinate Geometry

Q: Solve the system dz dt with z(0)== 3-1 10 3 Z₂ == 3 8 [2] Give your solution in real form. Z₁ = An…

A: The given system of differential equation is: dxdt=-3-1103x

Q: Find the following by marking the given angle on the unit circle and locating another angle in the…

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Q: 1 2x² + 5x + 2 + T = a.c = b What steps do you have to take to factor the trinomial by grouping. 2.…

A: Given:  2x2+5x+2 To Find:  To determine the steps that are required to factor  the given trinomial.…

Q: Consider the following series. n=1 (a) Use the sum of the first 10 terms to estimate the sum of the…

A: Given series is ∑n=1∞1n2

Q: Write a slope-intercept equation Passes through (3,-7) and (0, -2)

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

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Q: ynomial, Look for a GCF first. 11. (6a^(2))/(3)+(9a)/(3)-(27)/(3)gcf =3. No hand written solution…

A: Given that 6a23+9a3-273

Q: Solve log3(2-x) = 3. Give answer as a number. No variable.

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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: Toby is solving x³ + x²-5x 1.8

A: