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

A: We first replace f(x) by y. Then we switch x and y. And then solve for y. This new y is replaced by ...

Q: The mass of a radioactive substance follows a continuous exponential decay model, with a decay rate ...

A: We are given decaying rate r=7%r=0.07

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: 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: A car manufacturer estimates that 25% of the new cars sold in one city have defective engine mounts....

A: Given information:A car manufacturer estimates that 25% of the new cars sold in one city have defect...

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: # 13 and # 14

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

Q: #34

A: (33)Consider the given equation: Ax+By=CTo solve for y, follow the steps:Step 1: subtract Ax from ea...

Q: Evaluate the piecewise function at the given values of the independent variable. 2x+5 if x <0 f(x) 3...

A: Since -3 is less than 0, so we have to use the first part of the function where f(x)= 2x+5 if x<0...

Q: #22

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

Q: Population: In a city of 72,000 people, there are 27,000 people under 25 years of age. What percent...

A: Given:The population of people who are under thge age of 25 is 27,000 out of 72,000.

Q: Evaluate the piecewise function at the given values of the independent variable. 2x+5 if x <0 f(x) 3...

A: -3<0 so we will use f(x)=2x+5 to find f(-3)Answer(a): f(-3) =-1

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: Given the function f(x) = x-15, x2 0, (a) Find f (x). (b) Graph f and f 1 in the same rectangular co...

A: (a)We are given a function as

Q: For each equation, determine whether it represents a direct variation, an inverse variation, or neit...

A: The given equations are 5xy = 20 and 2y = 5x.

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: Use the graph of y f(x) to graph the function g(x)=f(x + 4) Choose the correct graph of g below y fx...

A: Refer to the question, with the use of the provided graph of y = f(X) we have to find the graph of t...

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: Can you help me to solve from 1 to 3?

A: Given polynomial is :

Q: Graph the solution to the following system of inequalities. <+4x3y−12 ≥+−5x3y−9 Then give the coo...

A: To solve the given system of inequalities graphically

Q: 18) Given the function: f(x) 2x-1 if 1<x<3 a) What is the domain of f(x)? b Evaluate f(0) and fl) c)...

A: The function is given by,

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: What is the range of the function f (x) = | x | + 2

A: Given:The function is f(x) = |x| + 2

Q: How do I solve 6x/x-6 =9 +7x2/x-6?

A: Click to see the answer

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

A: Given:The system of equations is

Q: Evaluate the expression without using a calculator. log 2 log2- Enter your answer in the answer box....

A: We first use exponent rule of logarithm. The exponent becomes coefficient.

Q: Please answer the attached question. Thanks a lot

A: (a)Let T(x) represents the amount of tritium remaining in grams after x years and T(0) represents th...

Q: I want to start a lemonade stand and determine how much lemonade I need to sell to break even each d...

A: Let you have to sell x glasses. Each glass costs $0.50. So x glasses cost $0.50x.

Q: Simplify the difference quotient x)-fa) for the following function. x-a 3 f(x)x 8X

A: Firstly, we find f(a) by replacing x by a in f(x). < Then substitute the values of f(x) and f(a)....

Q: Find f(g(x)) and g(f(x)) and determine whether the pair of functions f and g are inverses of each ot...

A: The given functions are,

Q: Solve the system. If there is no solution or if there are infinitely many solutions and the system's...

A: The given system of equations are,

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: How ti solve? Step by step

A: Simplify the given expression as follows.

Q: Find all rational zeros of the function f (x) = x ^3 −6x^ 2 +11x −6

A: The given polynomial function is

Q: For following function, select (on the same set of coordinate axes) a graph for c = -3, 5, and 4. ...

A: The function is given by,

Q: Solve the inequality and graph the solution set on a real number line. Express the solution set in i...

A: First solve the given inequality as follows.

Q: On a reality tv show, an officer is traveling 90 mph. He is chasing Jennifer who which had a 3 min h...

A: An officer is traveling 90 mph. He is chasing Jennifer who which had a 3 min head start before him. ...

Q: Jane, Kareem, and Ahmad served a total of 91orders Monday at the school cafeteria. Ahmad served 5 mo...

A: Let x, y and z be the orders serve by Jane, Kareem and Ahmad respectively.Rewrite the sentence as an...

Q: Use properties of logarithms to expand the logarithmic expression as much as possible. Evaluate loga...

A: Given expression is,

Q: Consider the function f(x)-9x-9x Determine, without graphing, whether the function has a minimum val...

A: We are given a function as

Q: 3m+24=6m-3

A: Firstly, we subtract 6m from both sides of equation and then we subtract 24 from both sides

Q: In the following exercise, find the coordinates of the vertex for the parabola defined by the given ...

A: Calculation:The given quadratic function is f(x)=4(x–5)²–3 , which is the parabola.let the function ...

Q: f Then determine the domain for each function Given f(x)- x+6 and g(x) 4x, first find f+ g, f-g, fg,...

A: In this question, we have f(x) = x + 6 and g(x) = , we need to find f + g, f - g, fg, and f/g. we ne...

Q: 6 and g(x) = X find the following functions For f(x)= X a. (fo g)(x), b. (g o f)(x), c. (f o g)(7), ...

A: The given functions are

Q: Solve by the method of your choice. 7x-2y 6 4x+y 12 Select the correct choice below and, if necessar...

A: We multiply the second equation by 2 and add to the first equation. So, x=2

Q: Determine whether the given ordered pair is a solution of the system. (3,-5) 2x+ 3y 9 3x-2y 21 solut...

A: We will plug x=3 and y=-5 in 2x+3y=-9 and check if it works. It works.

Q: The graph of a quadratic function is given. Match the equation with its graph. fx)-(X + 4)2-1 ) (X-4...

A: (a)We can find vertex of first function

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

A: Explanation:(b)From the given graph, it is observed that the graph of the function is rising towards...

Q: In which set(s) of numbers would you find the number√80* irrational number*whole number*rational num...

A: Natural numbers is the set of counting numbers i.e. 1, 2, 3,…So √80 is not present in this set. Whol...

Q: Discuss the relationship among the lines with equations y = 2x + b, where b is any real number.

A: Explanation:The equation of line is y=mx+c where m be the slopw of line and c be the y-intercept.Com...