Find a function f whose graph is a parabola with the given vertex and that passes through the given point. Vertex (1, -5); passes through the point (4,40) f(x) = X

Q: Use a graphing utility to approximate the local maximum value and local minimum value of the…

A: The given function is  f(x)=-0.4x3-0.7x2+5x-6 for -6 < x < 4

Q: A college food court surveyed students to gather information about the types of drinks they like.…

A: Given n(U)=700n(M)=346n(T)=477n(T∩M)=249n(M∩S)=174n(T∩S)=197n(M∩T∩S)=108n(M∪T∪S)'=87 Therefore there…

Q: Click here to watch the video. The graph shows the percentage of a country's adults on weight-loss…

A: Given query is to find the point slope form of the line.

Q: 6x9y+ z = −12 2x - 3y z = −4 - -4 -8x + 12y = 16

A: On solving this we will get

Q: Solve the following system of equations. x - 3y + 3z = 4 2x + 3y z = 15 4x - 3y -z = 19

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Q: 1. 3.7 x + 10 = 25 Solve

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Q: Watch the video and then solve the problem given below. Click here to watch the video. Find the…

A: Given query is s to find the difference and quotient for the function.

Q: Factor completely. If the polynomial is prime, state so. 81x4-169y6 OA. (9x² +13y3)2 OB. prime OC.…

A: Topic - Factorization of a polynomial We are given, 81x4-169y6

Q: "

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Q: 3) Blake and Jacob went shopping for back to school clothes. Blake bought three shirts and one pair…

A: Blake and Jacob went shopping for back to school clothes. Blake bought three shirts and one pair of…

Q: ind the y-intercept and the slope of the line. -2x-3y=-12 Write your answers in simplest form

A: Topic -Slope and y intercept of a line we are given an equation of a line as  -2x-3y=-12 To find y…

Q: Differentiate the following function. 9 y=x⁹ ex dy dx =

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Q: Find the perimeter of the rectangle in terms of r. ∞ 8r+4 10r + 4 6r 12r

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Q: Example 4.2.10 Find the perpendicular distance from the point (5,6) to the line -2x + 3y + 4 = 0.

A: Given line -2x+3y+4=0 Given point (5,6)

Q: What is the difference in the solution to the problem (a) and problem (b) below: a) Solve x − 3 < 5…

A: One has "and" and other has "or"

Q: can you explain, the end behaviors specifically ones with values (-1^-+ & 3^+-)

A: It is given in the original question that y→+∞ as x→-1- and y→-∞ as x→-1+ so the graph approaches +∞…

Q: Use the Quotient Rule to simplify. All variables are nonzero. - 12w³x5 - 3w¹x³ 12w³x5 H point(s -…

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Q: Solve the quadratic equation by completing the square. 3x²+6x-9=0 The solution set is (Simplify your…

A: The quadratic equation is given by 3x2+6x-9 = 0 To evaluate: The solution of the quadratic equation…

Q: A flower bed is in the shape of a triangle with one side twice the length of the shortest side and…

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Q: Use the vertical line test to determine if y is a function of x in the graph. Which of the following…

A: Topic = Function

Q: Find f'(x). f(x) = 9x³ (x² − 9) f'(x) =

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Q: Consider the following. A = 8 8 1 List the eigenvalues of A and bases of the corresponding…

A: NOTE: Refresh your page if you can't see any equations. . now matrix is in triangular form…

Q: Fully expand the following logarithmic expression into a sum and/or difference of logarithms of…

A: Using logarithmic forula  lnck=klnc ........(i) lnpq=lnp-lnq .......(ii) lna·b=lna+lnb .......(iii)

Q: Graph the region described by the inequality. 7x+2y-10 20

A: Topic = Inequality

Q: Let z be a positive real number. Use mathematical induction to prove that (1 + z)^n ≥ nz for all n…

A: The given statement is 1+zn≥nz for all n∈ℕ. Where z is a positive real number. Consider an even…

Q: Resource Allocation Podunk Institute of Technology's Math Department offers two courses: Finite Math…

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Q: Consider the line y=-6x +1. Find the equation of the line that is perpendicular to this line and…

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Q: 3.x — 3y = −6 3x + 3y +z = 9 -4x + 5y + z = 8

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Q: graph to determine en intervals on which the function is increasing, if any. en intervals on which…

A: Topic:-  Calculus

Q: Evaluate the piecewise function at the given values of the independent variable. 5x+3 if x < 0 3x+6…

A: The given piecewise function is: fx=5x+3, x&lt;03x+6, x≥0

Q: Use the product rule to find the derivative. y = (3x²+5)(5x-2) y': ||

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Q: 5. For each of the following functions and given points: Determine whether the given point is…

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Q: K The perimeter of a rectangular field is 320 yd. The length is 20 yd longer than the width. Find…

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Q: Chef Smith bought 22 whole chickens for an upcoming dinner for $99.33. Each chicken weighs a total…

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Q: Find f'(x). f(x) = 3 In (1+3x²)

A: f(x) = 3ln(1+3x2 ) this is function given we have to find derivative of this function here ln given…

Q: Graph the line y=mx+b for the given values

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Q: Graph the line with slope 2 passing through the point (-3,-5).

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Q: A line passes through the point (-4, -7) and has a slope of −3/2.   Write an equation in…

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Q: which valves have a 2-score less than 2.5

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Q: a Amazon NYS DMV-My DMV 14 udemy Question 94 of 190 FINAL-Mathematics Find the height of the 32-inch…

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

Q: Find f'(x) and find the values(s) of x where f'(x) = 0. f(x) = (2x-9) (x²+6) f'(x) =

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Q: Use the following set definitions to specify each set in roster notation. Except where noted,…

A: Given Data : We have given three sets, A={a}B={b,c}C={a,b,d}   Explanation : For any two set A, B we…

Q: The diameter of a human hair is 9 . 10-5 meters. The diameter of a spider's silk is 3.10-6 meters.…

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Q: Write the point-slope form of the line satisfying the given conditions. Then use the point-slope…

A: The point through which the line is passing is x0, y0 = -5, 8 The slope of the line is m = 5 To…

Q: Divide. -3y^4x^2-8yx+14y^6x^7/-2y^4x^2 Simplify your answer as much

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Q: 3 - ²x +4 The equation of a line is y = -x + 4.

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Q: The points (-11, -3) and (6,5) are the endpoints of the diameter of a circle. Find the length of the…

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Q: y=x²-3x+7 y = 3x - 2 What is the y-coordinate of the solution? Enter your answer in the box.

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Q: 27. cos 0 = −1

A: Topic- Trigonometric ratios we are given, cos(θ)=-1

Q: For the function defined below, use a graphing calculator to find a comprehensive graph and then…

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