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A: First we use the definition of logarithm to get rid of log.

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A: Given,

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Q: Solve by completing this square m2+3m-40=0

A: We first add 40 to both sides.

Q: 9) A surfboard with a regular price of $525 is on sale at 20% off. Find the sale price of the board.

A: Given information:The regular price of the surfboard is $525.The surfboard is on sale at 20% off. Th...

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A: Domain of function f(x) is the set of all values of x for which the function is defined and Range is...

Q: Suppose that the functions u and w are defined as follows. =u(x)=x^2+6 w(x)=√x+1 Find the following....

A: Given information:The function u and w defined asu(x)=x^2+6w(x)=√x+1

Q: (7)(-8)_____-14

A: Consider the given rational expression:Factorizing the numerator and denominator and then cancelling...

Q: Find the coordinates of the vertex of the quadratic functions beneath: y=3x2 y=3x2-2 y=-x2+3

A: (a)We can compare with quadratic equations and find a , b and c

Q: For f(x)=x and g(x) = x + 4, find b. the domain of fog a. (fo g)(x) a. (fo g)x) (Simplify your answe...

A: (a)o represents the composition of functions and is defined as:Plugging the values,

Q: I am having a math confusion here b2-a over ad+3c a=-2b=5c=-1d=3 I keep coming up with 12 over -9 th...

A: To calculate the value of b2-a over ad+3c where, the value of a=-2, b=5, c=-1 and d=3. Now, substitu...

Q: Find the vertex, y-intercept, and x intercepts of the quadratic, and then graph it. y = -x2-4x-3

A: Find the vertex of the quadratic.

Q: Simplify the difference quotients f(x+h) - f(x)/h and f(x)-f(a)/(x-a) for the following function by ...

A: Given:The function is

Q: A and B are sets of real numbers defined as follows. 4 = {x | x > 3} Bx|x5 Write A n B and A UB usin...

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Q: # 13 and # 14

A: (13)Let Felix invests $ x amount at 7% annual interest and then according to question, the amount th...

Q: 50) Use the graph of f(x) shown for the following: a) Identify x values where: f(xs undefined f(x)=0...

A: a) It is clear from graph, if x approaches 1 from left , f(x) approaches -infinity and if x approach...

Q: #37 A faucet can fill a tub in 12 minutes. The leaky drain can empty the tub in 30 minutes. If the f...

A: Click to see the answer

Q: Find all real zeros of the function f (y) = 4y^ 3 +3y ^2 +8y +6

A: Find the all real zeros of the given function.

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Q: 33) Use the numerical representation of f(x) below to give a numerical representation of g(x)-f(2x) ...

A: To evaluate g(x) at various points using the definition in terms of f(x)

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A: Given information:The center of the circle is (-2,5).The point passing through the circle is (-6,1).

Q: Explain how f (x) = (x − 1)2 + 3 is obtained from f (x) = x2

A: The given functions are f(x) = (x-1)2 +3 and f(x) = x2.Sketch the graph of the functions f(x) = (x-1...

Q: Let A = [1 -1 -1 -1 1 -1 -1 -1 1]. Find a diagonalization if possible.

A: We first find the eigenvalues and eigenvectors of A.Start from forming a new matrix by subtracting λ...

Q: Graph the solution to the following system of inequalities. x-5 yz-4 3x+4y8 10 6 ? 4 -10 -8 -6 6 10 ...

A: Given information:The system of equation is shown below:

Q: A Web music store offers two versions of a popular song. The size of the standard version is 2.2 meg...

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Q: Given the function f(x)= vx-7, (a) Find f (x). (b) Graph f andf in the same rectangular coordinate s...

A: Refer to the question,The provided function is,

Q: explores the ideas of addition and Let's put these ideas together. Simplify each expression. a. 4x.4...

A: a)Here , we multiply, constants separately and variables separately, and use result ( x^m )(x^n)=x^...

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A: Given that two function:

Q: Explain why it is important to understand the base for a number as well as the value.

A: In the standard numerical system, the base is the number which is used to represent the value of the...

Q: Write the complete factored form off(x)=2x^3-3x^2-32x-15 given that k=-3 is a zero.

A: To calculate the complete factor of the function f(x)=2x3-3x2-32x-15 and the one zero of the provide...

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A: To calculate the equation of the circle from the provided endpoints coordinate of diameter. The endp...

Q: Find the domain of each of the functions below. f (x) = 5x^2 +2x −1 f (x) = 1−2x^ 2 f (t) = 4/ t

A: Given information:The given function is shown below:a) f (x) = 5x^2 +2x −1b) f (x) = 1−2x^ 2c) f (t)...

Q: Solve the equation for the unknown quantity 19.42 = P(1.2)3

A: First we simplify (1.2)^3.(1.2)^3=1.728

Q: Find an equation of the parabola with vertex , 1−4 and focus , 7−4 .

A: Click to see the answer

Q: The profit of a company in dollars, is the difference between the company's revenue and cost. The c...

A: From the given information, it is observed that the revenue is R(x) = 810x – x^2 and the cost is C(x...

Q: What are the zeros of the function x^2+2x-3 over x^2+3x+2

A: To find the zeroes of the function x2+2x-3 over x2+3x+2.The zeroes of a function are the values such...

Q: For 1-5, use the following function and use proper set builder or interval notation when appropriate...

A: The domain of the function is the values of x. And we have -3<= x <= 2 and x>2. Combining t...

Q: Solve the system of equations by the substitution method. 2 3 y = 7xt 7 5 y = X7 Select the correct ...

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A: Given x and y are two numbers.Sum of x and y= x+y. So, x+y=9

Q: Suppose that receiving stations X, Y, and Z are located on a coordinate plane at the points (9,5), -...

A: Consider the receiving stations:

Q: Solve Inequality |7x+3| > 15. What are the steps to putting my answer(s) in interval form?

A: From |7x+3|>15 we get two inequalities. 7x+3>15 and 7x+3<-15. We will solve for x from thos...

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Q: The functions f(x)=0.0875x-1.3x + 61.7 and g(x)=0.0875x +1.9x +11.1 model a car's stopping distance,...

A: (a) For x=35 we have to find f(35).Answer: Stopping distance on dry pavement = 123 feet.

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A: Refer to the question the line has slope m = -1 and it passes through the point (0, 2).Then consider...

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A: The parent function f(x)=x3