Given that g(x)=2x2+2x+16, find each of the following: a)  g(5) b)  g(p+4)

Q: The manager of a large apartment complex has found that the profit (in thousands of dollars) is…

A:

Q: What's the counterexample of |x+3|=|x|+3

A: Consider a equation: x+3=x+3……1   Now, counter example means to find a value of x for which above…

Q: If g(x) = 3(x – 5)², solve g(x) = 27. %3D %3D

A: Going to solve the problem by just putting the value.

Q: Solve the equation 2x3 - 3x2 - 11x + 6 = 0 given that -2 is a zero of f(x) = 2x3 - 3x2 - 11x + 6.

A: To find quadratic we will use division method .x+22x3-3x2-11x+6( 2x3-7x+3          2x3+4x3…

Q: A soft-drink vendor at a popular beach analyzes their sales records and finds that if they sell x…

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Q: find (f-g)) wherefa)=-7x²+ 8n-4 and g (x) =-11x+2-1Mx²

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Q: A fast-food restaurant has a cost of production C(x)=12x+90 and a revenue function R(x)=7x. When…

A: Given,        C(x)=12x+90 and R(x)=7x

Q: If g(x)= 5X3+3x2+3x+5, what is (g-1)'(z) when z=5?

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Q: If g(x) = 2x2- 3x , what is the value of g( - 1) ?

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Q: Solve the equation g(x)=−6 for x if g(x)=−0.6x2+x+4.

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Q: A fast-food restaurant has a cost of production C (x) = 11x + 108 and a revenue function R(x) = 5x.…

A: when production cost become equal to revenue then that point will be equillibrium and if revenue…

Q: If f(x)= 2x2 – 5x + 4 for what values of x is 2f (x) = f(2x)? -

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Q: Given f (x) = 2æ? - = 2x2 4.x +9 and g (a) 4x +1: Find (fog) (-1)

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Q: The x-values satisfying the equation |x-1PEs*-2log, 9 = (x – 1) is/are

A: Introduction --

Q: Solve the equation x2 - 5x2 + 2x + 8 = 0 given that -1 is a zero of f(x) = x3 - 5x2 + 2x + 8.

A: Given function f(x) - f(x) = x3-5x2+2x+8Given that x = -1 is the solution of the function f(x),Then…

Q: use the discriminant to help solve each problem. Determine k so that 3x2 - kx - 2 = 0 has real…

A: 3x2-kx-2=0 Comparing with ax2+bx+c=0, we get a=3,  b=-k  &  c=-2 Now discriminant is,…

Q: A jewelry maker incurs costs for a necklace according to C(x) = 21x + 1650. If the revenue function…

A: A jewellary maker Incurs costs for a necklace according to C(X) = 21x+1650Revenue function R(x) =…

Q: If f (x) = 2x2 +x, what is the value of f(4)? %3D

A: Given:fx=2x2+xTo determine the value of f(4)

Q: A jewelry maker incurs costs for a necklace according to C(X) = 37x + 1650. If the revenue function…

A: Given that  C(X) = 37x + 1650. R(x) = 87x

Q: A fast-food restaurant has a cost of production C(x)=13x+108 and a revenue function R(x)=7x. When…

A: Given the production cost: C(x)=13x+108and revenue function R(x)=7x we need to find the exact answer…

Q: The degree of f(x)=3x² – 4x² +x is: 8. 9. 19

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Q: What is the Discriminant of the equation x- 3x + 2-0? and what does it represent?

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Q: If f′(4)=8, and g(x)=−2f(x), what is g′(4)?

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Q: f the remainder of the x3 - kx2 + 3x- 2 when divided by x 1 is 4, find he value of k.

A: Use reminder theorem.

Q: 1. What is the value of 4x +x' when x- 16?

A:

Q: How to solve: g(x)=3x2 +4 when g(4/3).

A: Consider the given function  as g(x)= 3x2 + 4.Compute the functional value at the point x = 4/3 as…

Q: (5) The profit for Cocoa Board cocoa beans is given by Π(x)= −15x^2 + 180x − 405 thousand…

A:

Q: A fast-food restaurant has a cost of production C (x) = 13x + 126 and a revenue function R(x) = 6x.…

A: Given: C(x)=13x+126 R(x)=6x The company will start to turn a profit when the revenue function will…

Q: If fx) = |3x| – 10 and g(x) = 2x³, what is (g ° f(-2)? %3D

A:

Q: Suppose that 6(g(x))2+13x=5x3g(x)−12, and that g(−1)=−1. Find g′(−1).

A: Given Data: Equation: 6gx2+13x=5x3gx-12 Conditional Value: g-1=-1   The derivative of the given…

Q: If g(x) = -3x + 5, what is the value of g1 (1)?

A: The objective of the question is determine the value of the function at certain given condition.

Q: The x-values satisfying that 2x² + 5x – 12 > 0 is:

A: We have 2x2 +5x -12≥0

Q: The management of the producers of a famous hot sauce estimate that their profit (in dollars) from…

A: The management of the producers of a famous hot sauce estimate that their profit (in dollars) from…

Q: Solve the initial condition problem: f"(x) = 60x³ + 24x², f(2) = 239, f(-3) = 254

A: f''x=60x3+24x2 take integration  ∫ f''x=∫ 60x3+24x2dx f'x=∫60x3dx+∫ 24x2dx f'x=60x44+24x33+C…

Q: if h(x)= 2x3+ Ax2+4x-5 and h(2)=5 what is the value of A?

A: Given,

Q: by the equation: f(x) = - 2x2 - 10x + 9

A:

Q: If f' (2) = 3, and g(x) = 9f(x), what is g' (2)? %3D Do not include "g' (2) =" in your answer. For…

A: Given that g(x)=9f(x) Applying differentiation with respect to x on both sides Then g'(x)=9f'(x)

Q: A fast-food restaurant has a cost of production C(x) = 14x + 108 and a revenue function R(x) = 82.…

A:

Q: The daily profit, P of a coffee shop is given by P=12x – 0.02x2 where x is the number of coffees…

A: We have to find the maximum profit from the given function.   According to our guidelines we can…

Q: x3+x²-4 1. 9x 2+3

A: Given: y=x-3+x2-49x1/2+3 rewrite the equation. y=x-3+x2-49x+3 The rational function will not be…

Q: If g(x) = 2x2 - 5x - 7, find g(-1), g(2), g(-3), and g(4).

A: Given, gx=2x2-5x-7.   Now, g-1 is found by substituting -1 for x in gx as follows:…

Q: If g (x) = 4x² – 13. give the equation for g 1 (x). %3D

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Q: Find the value of x that will make A||B. A 2x + 5 3x-2 X = [?]

A:

Q: Does x =12 satisfy the equation 16 - 1/2x = 3/4x +1?

A: Given equation,  16-(1/2)x=(3/4)x+1 X=12 satisfy the above equation if L.H.S of above equation is…

Q: ant for 4 - (5x2 + x) = 0

A: Topic = Quadratic equation

Q: What is the value of X if, X = 1| 32?

A: Given X = 1 | 32

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.