Exercises 65 and 66: Find the difference quotient for f(x). 65. f(x) = 5x + 1 66. f(x) = 3x² – 2

Q: graph each ellipse. 25x2 + 36y2 = 900

A: Given equation is: 25x2+36y2=900 Then we get, 25x2900+36y2900=1⇒x236+y225=1⇒x262+y252=1 The above eq...

Q: evaluate each algebraic expression for the given values of the variables. (4a2b3)/(12a3b) for a = 5 ...

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Q: Use the Change-of-Base Formula and a calculator to evaluate the logarithm. Round your answer to thre...

A: We have to find the value of log2 7.

Q: Form a polynomial function whose real zeros and degree are given. Answers will vary depending on the...

A: Given: Zeros of the polynomial=-1,1,3 Degree=3

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A: A hyperbola has two curves that do not touch each other.  A hyperbola is a curve whose equation is o...

Q: Need help with question 39, please

A: Given: h(x)=x-3 g(x)=8x

Q: Algebra Question

A: Given that  n(U)=40  To find n(cats U birds)

Q: graph each parabola. y = 3x2 - x - 1

A: y=3x2-x-1  

Q: Need help with question 37, please

A: Given that f(x)=x^2-4 g(x)=8x To find (f/g)(x)

Q: 06:: A) Solve by using Cramer's rule : 3X +5Y + 27 =-7 4 X +3Y - SZ =- 19 5X +4 Y-7Z=- 15

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Q: 10÷10

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Q: Suppose that ln 2 = a and ln 3 = b. Use properties of logarithms to write the logarithm in terms of ...

A: Given,ln2=a,ln3=b ln(1.5) On simplifying further we get: ln(1.5)=ln(32)=ln3-ln2       (using,ln(ab)=...

Q: %3D 5a) What transformation (in order) are done to f(x) to make h(x) = -2f(x) -4. Your answer 5b) If...

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Q: Write an equation of the line below. (Please)

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Q: For the following quadratic functions, give the following information

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Q: f(x) = x2 + 3,    g(x) = squere root 4-x   (a)    (f + g)(x) =      (b)    (f − g)(x) =      ...

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Q: Exercises 1-4: Find the point-slope form of the line passing through the given points. Use the first...

A: The point-slope form of a line is given by the equation (y-y1)=m(x-x1), where m is the slope of the ...

Q: graph each equation. y = -2x2 - 4x - 3

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Q: Find an orthonormal basis for the subspace of R generated by the following vectors: (a) (1,1, –1) an...

A: We have given the following vectors: a) (1,1,-1) and (1,0,1) b) (2,1,1) and (1,3,-1) We have to find...

Q: Find the domain of the function. f(x) = ln ( 1/ (x + 1)

A: f(x)=ln1x+1

Q: One shake and two beef burritos provide 2610 calories. Two shakes and one beef burrito provide 2310 ...

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Q: Exercises 69 and 70: Graph the function f. State the slope m and y-intercept of the graph. 69. f(x) ...

A: Question 69 - Given function - f(x) = 4-2xLet f(x) = y, for simplicity.y = 4-2xy =-2x+4     ...........

Q: If the rule of the function f is "add one" and the rule of the function g is "multiply by 2," then t...

A: Given: If the rule of the function f is " add one" and the rule of the function g is " multiply by 2...

Q: perform the indicated operations and express the answers in simplified form. (3n2 + n)/(n2 + 10n + 1...

A: Given expression: 3n2+nn2+10n+16×2n2-83n3-5n2-2n

Q: Use transformations to sketch a graph of the equation y = Vx +1 - 2.

A: To graph the function y=x+1-2. Solution: Standard equation is y=x. We know that domain of y=x is [0,...

Q: uestion 5 5. Let U= {11, 12, 13, 14, 15, 16, 17, 18, 19} and A {12, 14, 16, 18), B = {12, 15, 16, 19...

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Q: A function is given. Determine (a) the net change and (b) the average rate of change between the giv...

A: Consider the function, fz=1-3z2,   z=-2,  z=0 To calculate the net change of the function, Net   Cha...

Q: In a protected environment, the population P of a certain endangered species recovers over time t (i...

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want rem...

Q: f is a polynomial function of degree 4 whose coefficients are real numbers; three of its zeros are 2...

A: f is a polynomial function of degree 4 whose coefficients are real numbers; three of its zeros are 2...

Q: Exercises 17-22: Complete the following. (a) Find the domain and range of the relation. (b) Determin...

A: The domain of the function is the set of all x of the functions. The range of the function is the se...

Q: Find the inverse function of f.

A: An inverse function is reverse of the given function. In simple words if a function f takes input va...

Q: 1. Write an equation of a line passing through (-8, 40) and (16, -2) in a. Point-Slope b. Slope Inte...

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Q: write the equation of the circle that satisfies the given conditions. Express your answers in the fo...

A: Consider the provided information, Given that the center at -4,0 and the radius is r=35. The standar...

Q: A graph of a function is given. Use the graph to find the indicated values.

A: A graph

Q: Write an equation in slope-intercept form for the line with slope 2 and y-intercept -7. D=0 olo

A: Since, the slope intercept form of the line is given by  Y= mx + c  Where,  m = the slope of the lin...

Q: The following Angles are Complementary. Find the value of x. * 6x+10 9x + 20 Your answAr

A: Sum of complimentary angle is 90

Q: (a) graph each quadratic function by determining whether its graph opens up or down and by finding i...

A: f(x) = x2 - 4x + 6 Quadratic equation is in the form of ax2+bx+c The value of a=1. So the graph of p...

Q: U.S. AIDS Deaths The function D defined by D(x) = 2375x² + 5134x + 5020 models AIDS deaths x years a...

A: Given function is Dx=2375x2+5134x+5020. Here x = 0 represents the year 1984.

Q: Suppose that C(g) represents the cost C, in dollars, of manufacturing g cars. Explain what C-1 (800,...

A: Given that, C(g) represents the cost C in dollars of manufacturing g cars. To find what C-1800,000 r...

Q: Algebra Question

A: We have to find from Venn diagram , Region of A' ∩ B.  Region in A'  Means Except A everything.    (...

Q: Write an equation in slope-intercept form for the line with slope- 3 and y-intercept -2. Then graph ...

A: Given,  Slope of the line = -35  y-intercept = -2  We have to write the equation of the line and the...

Q: The mean weight of 800 male students at a certain college is 70kg and the standard deviation is 10kg...

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Q: Solve the linear inequality, write the solution in interval notation, and graph the solution. 7(x +1...

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Q: %3D 5a) What transformation (in order) are done to f(x) to make h(x) = -2f(x) -4. Your answer 5b) If...

A: Here is transformation of f(x) table  Using formulae from above table 5a) step1:  Flip f(x) over th...

Q: Exercises 9 and 10: Use the vertex formula to determine the vertex on the graph of f. 9. f(x) = -3x²...

A: since you have asked multiple questions in single request so we will be answering only first questio...

Q: Q2.) Find the limit ( 10 lim 1- X- 0 X+ x cos x sin x cos x |x + 2| 2 - lim(x + 3) x-2 x + 2 lim sin...

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Q: If b2-4ac is zero there will be

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Q: Sedimentation Devils Lake, North Dakota, has a layer of sedimentation at the bottom of the lake that...

A: Given that the depth of the sediment is modeled by the function, Dx=20+0.24x Where “x” is the number...

Q: Solve the given equation or inequality graphically. (a) 2x2 + 3 = 5x + 6 %3D (b) 2x2 + 3 5x + 6

A: (a) Given: 2x2+3=5x+6  ……1

Q: What is the domain of f(x) = (x + 5)/(x2 + 3x - 18) ?

A: The set of all the values of x for which the function f(x) is defined is known as the domain of f(x)...