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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: I caught 25 ducks and tagged them and let them go in a refuge. one month later i catch 70 ducks. I f...

A: The number of ducks caught first time is 25.The number of ducks caught second time is 70. But 6 of t...

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: Use the graph of y f(x) to graph the function g(x)=f(x)-2 Choose the correct graph of g below y fox)...

A: g(x)=f(x)-2 means the graph will move 2 units down.

Q: #22

A: Given:The point that the line passes through is (3,−5).The equation of the line which is perpendicul...

Q: Function g is related to the parent function. Identify the parent function f. g(x)=4-[[x]] a. Con...

A: Consider the given function:

Q: Find an equation of the parabola with vertex , −1−2 and focus , −5−2 .

A: Given information:The vertex of parabola is (1,2).The focus of parabola is (5,2)

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

A: Here, we find f(x+h) by replacing x by x+h ,substitute the values of f(x+h) and f(x) and then by r...

Q: When solving systems of we have at least two unknowns. A common example of a system of equations is ...

A: Let x be the number of liters of water and y be the number of liters of cleaner.Then the first equat...

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

A: The given function is,

Q: Use the given function to complete parts (a) through (e) below -92 f(x)-x At which zeros does the gr...

A: The function is given by,

Q: Does the relation y(x + y) = 1 specify a function? Explain.

A: From y(x+y)=1 we try to solve for y first. Used the quadratic formula to solve for y.

Q: Simplify the expression 4 (10 n to the power 2 - 2) -5 (8 n to the power 2 + 4)

A: The given expression is

Q: 200 divided by 900 multiply by 100 written as a percentage without a fraction

A: Given statement:200 divided by 900 multiply by 100

Q: 4y-(-4)=6

A: To compute the value of y from the provided linear equation 4y-(-4)=6. Now, first resolve the negati...

Q: One number is seven less than four times another number. If their sum is 103. Find both numbers.

A: The given statement is

Q: Use the vertex and intercepts to sketch the graph of the quadratic function. Give the equation of th...

A: In order to sketch the graph of quadratic function, convert the given quadratic function into standa...

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: A car rental company charges an initial fee plus an additional fee for each mile driven. The charge ...

A: The charge to rent economy car is given by the function,

Q: Suppose that you earned a bachelor’s degree and now you’re teaching high school. The school district...

A: To calculate (a) The amount which is saved at the end of 5 years. (b) The amount of interest. If the...

Q: Let x represent one number and let y represent the other number. The sum of two numbers is 9. If one...

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

Q: Answer the following questions about the equation below. 12x3 +53x-34x + 5 = 0 (a) List all rational...

A: We are given an equation as

Q: How do you solve 1/2 +12/x2 > 5/x

A: The given inequality is,

Q: Sketch the graph of f (x) = 3^x +1

A: The given function is,

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: Given the functions f(x)=3x-5 , g(x)=2x^2-4x+8 , h(x)=30(1.5)^x , p(x)=5x-4/x-2 evaluate the followi...

A: Given the function f(x)=3x-5 and h(x)=30(1.5)x.And, Now simplifying the composition of the two func...

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

A: Given that two functions:

Q: Consider the quadratic function below and (a) find the vertex (b) find the axis of symmetry and (c) ...

A: Find the vertex of the given function.

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: The graph to the right is a complete graph, that is, it is continuous and displays the function's en...

A: Calculation:If the multiplicity is odd the graph will cross the x-axis at that zero. That is, it wil...

Q: Solve for x: e x^ 2+6 = e 5x

A: Solve the equation to find the value of x.

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...

Q: Convert each of the following base ten numerals in the given base: Convert 67 to base three Convert...

A: To convert 67 base 10 to base three.

Q: O LINEAR EQUATIONS AND INEQUALITIES Paul Solving a compound linttarinequality Interval notation Espa...

A: The first inequality is,

Q: How many quarts of pure antifreeze must be added to 3 quarts of a 10% antifreeze solution to obtain ...

A: Calculation:let x be the required amount of pure antifreeze solution.Write a decimal equivalent m...

Q: 72 voters are asked to rank four brands of soup: A, B, C, and D. The votes are summarized in the fol...

A: Since we are entitled to answer up to 3 sub-parts, we’ll answer the first 3 as you have not mentione...

Q: Over the last 3 evenings, Amanda received a total of 77 phone calls at the call center. The third ev...

A: Let she received x calls on the first evening. The third evening she received 8 calls more than the ...

Q: Solve for y in the equation below.Round your answer to the nearest hundredth.Do not round any interm...

A: Consider the given equation

Q: Find the average rate of change of f(x)= 3x^2−x from x1=2 to x2=4

A: The given function is f ( x ) = 3x2 – x and x1 = 2 , x2 = 4. In order to find the average rate of ch...

Q: A car is purchased for $31,000 . Each year it loses 30% of its value. After how many years will the ...

A: Let the depreciated amount be represented by D(t). then according to the given condition.

Q: Multiply. Use the distributive property. -2(2a-4b)

A: The given expression is –2(2a–4b).

Q: Write as a single fraction. Simplify your answer as much as possible. (3v/v2+5v-14)-(4/v2+4v-21)+(3/...

A: The given fraction is (3v/v2+5v-14)-(4/v2+4v-21)+(3/v2-5v+6).

Q: 2A-A=2

A: The given linear equation in A is 2A-A=2.

Q: (2-4i)(5-7i) =

A: The steps of simplification are shown on board. Here we se the result i^2 =-1 and then collect the ...

Q: How would you factor x2(2x+3)5(x-4)2 to find the zeros and multiplicity?

A: The given expression is,

Q: A Web music store offers two versions of a popular song. The size of the standard version is 2.7 meg...

A: Given that a Web music store offers two versions of a popular song. The size of the standard versio...

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: #18

A: Refer to question 18 to determine whether the graphs with equation x+5y=-6 and y=5x-8 are parallel, ...

Q: Question: consider the function f(x)=3^x-1 graph showing the asymptote

A: The given function is f (x) = 3x–1.

Q: FUNCTION OPERATIONS AND INVERSES Composition of two functions: Basic Suppose that the functions u an...

A: The given functions are,