Use the given rational functions to answer the following questions. 1. Identify any vertical asymptotes 2. Identify any holes 3. Identify any x intercepts f(x) = x² + 2x - 3 x² + 8x + 15

Q: 2) a) Using matrix method solve the following simultaneous equations 2x + 5y = 18 x-3y=-2

A: 2x+5y=18 x-3y=-2

Q: Last year, Ivan had $10,000 to invest. He invested some of it in an account that paid 5% simple…

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Q: the equation below to find V, if 1-3, w=2, and h=7. V=lwh = X

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

Q: a the equation below to find y, if m 4, x=5, and b = 12. y=mx+b 32 X

A: The given values are m=4, x=5, and b=12. We have to find the value of y.

Q: Solve the following linear system by Gaussian elimination. X1 = i X2 11 X3 = i i X₁ + 2x2 + x3 = 13…

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Q: x² + y²2 - 4x + 8y + 11 = 0 is the equation of a circle with center (h, k) and radius r for: h = and…

A: We can find the value of centre coordinate (h,k) and radius r in the below steps.

Q: is the minimum number of x-intercepts that a polynomial of degree 9 can have? Explain. minimum…

A: Topic:- polynomial

Q: You invest $750 in bank which pays 8% interest per year compounded continuously. What will be the…

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Q: Rational Function: The heat, H, in BTUs, created by an industrial furnace can be modeled by the…

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Q: A construction crew is lengthening a road. Let y represent the total length of the road (in miles).…

A: given  y=57+3xwhere y is repesent total length of road x represent total number of days crew has…

Q: ... A golfer hit a golf ball from a tee box. The graph shows the parabolic trajectory of the ball,…

A: According to question,Given Height Function,Ht = -16t2 +45t + 0.06

Q: Find BA. A= BA= ☐ 3 2 || 7 B -6-3 3 0

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Q: A rock is thrown upward from a bridge that is 39 feet above a road. The rock reaches its maximum…

A: Use the equation of height with coefficients with respect to feet and seconds.

Q: For the following polynomial function, find (A) the degree of the polynomial, (B) all x-intercepts,…

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Q: Which equation represents the transformation formed by vertically stretching the graph of vertically…

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Q: The formula p=2l + 2w is used to calculate the perimeter, p, of a rectangle. Length is reperesented…

A: given, perimeter(p)=2l+2wwhere l and w are length and width given p=210 cm and l=20

Q: Q3:The table below shows enrollment,† in millions of people, in public colleges in the United States…

A: NOTE: Refresh your page if you can't see any equations. . t=number of years 2004 N=Enrollment in…

Q: Find y as a function of x if y(1) = 1, y'(1) = 4. y = x²y"-7xy' + 16y=x6,

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Q: Ashley, Manuel, and Deon sent a total of 145 text messages during the weekend. Deon sent 4 times as…

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Q: 3x-y=2 6x-2y = -1 (substitution method)

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Q: Athird order constant cofficients homogeneous differential equation has three solutions given by y₁…

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Q: f(x)=√√√x-8-7x ≥ 32, 2 f-¹(x) = 4 [(x + 8)² + 7] x ≥-8 > What is the inverse of for f-¹(x) = [(x +…

A: The given problem is solved below in detail

Q: Algebra Question

A: Given:  A right triangle is given. To Find:  (1) The length of the horizontal leg=?  (2) The length…

Q: b. Find a diagonal matrix A, given A-² = 900 040 0 1 0

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Q: cost d in dollars, of the number n of tickets bought for a baseball. This can be expressed as d=10n.…

A: Given query is to graph the function.

Q: The equations of three lines are given below. Line 1: 8x+6y=-8 Line 2: 3y=-4x+7 y=-x-8 Line 3: For…

A: The given lines are, Line 1: 8x+6y=-8Line 2: 3y=-4x+7Line 3: y=-43x-8 We have to find the pair of…

Q: Define Triangular Matrices and give at least one example. =) Use the given matrix to verify that 64…

A: NOTE: Refresh your page if you can't see any equations. . a square matrix in which all the entries…

Q: Let V1 = -1 V2 = 3 20-0-0 B = {V1, V2}. X = 12 Determine whether x € Span {v₁, V2}. If yes, find [x]…

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Q: The owner of the Rancho Los Feliz has 6000 yd of fencing with which to enclose a rectangular piece…

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Q: Find f. f"(0) = sin(0) + cos(8), f(0) = 2, f'(0) = 4

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Q: Let A = (aij) be a 4 × 4 matrix. a11 a12 a21 a22 2a31 2a32 a11 +3a41 a123a42 Let B= If |A| = 10,…

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Q: Use synthetic division to show that the number given to the right of the equation is a solution of…

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Q: Solve for x: 672-9 = 1042-7

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Q: Solve the following quadratic equation by using the definition of a square root and write the…

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Q: ind the quotient for 2m*+6m³-15m³ +27 m-5 using the synthetic division

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Q: Find the coordinate vector [x] of x relative to the given basis B = {b₁,b₂, b3}. b₁ = 1 - 1 - 3 , b₂…

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Q: Find the perimeter of the following rectangle. Write your answer as a mixed number in simplest form.…

A: formula for perimeter is  p=(length+width)length=312=3+12we know that abc=a+bcwidth=35

Q: Solve for : log3 (27) = 9

A: Given:   log3x7=9

Q: Use the given rational function to answer the following questions 9. Identify any vertical…

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Q: Determine the constant of variation for the stated condition. s varies directly as r², and s = 18…

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Q: 6. Solve the following quadratic equations (hint use the quadratic formula) a) 4x² + 10x - 24 = 0 b)…

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Q: A high school club ordered pizzas for a year end party. Each large pizza had 12 pieces and each…

A: We need to find the number of large and medium pizzas

Q: - The height, dcm, that a toy rollercoaster reaches after t seconds can be modelled by the function…

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Q: A theater group made appearances in two cities. The hotel charge before tax in the second city was…

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Q: The cost of 1 basketball and 1 football is £11. The cost of 4 basketballs and 1 football is £23. a)…

A: we need to find out the cost of 1 football and 1 basketball.

Q: Let B = (1, x, x², x³) be an ordered basis for P3. Find the coordinate vector 8x³ + 2x²7x - 9…

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Q: 19,20,21

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Q: Solve the system of linear equations, using the Gauss-Jordan elimination method. (If there is no…

A: NOTE: Refresh your page if you can't see any equations. . the system Ax=b is augmented matrix is

Q: 6. Let = {An: n = 1, 2, 3,...} where An = {0, 1, 2,..., n}. Find Un and nn. Prove your conjecture.

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Q: For the synthetic division below what is the dividend? -7/6 ↓ 6 08 -12 -42 294 -2114 -42 302 -2126

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