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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: If two opposite sides of a square are increased by 12 meters and the other sides are decreased by 10...

A: Given that two opposite sides of a square are increased by 12 meters and the other sides are decreas...

Q: The y-intercept should be a coordinate point like (0,15), so what would it be?

A: The given y-intercept is a coordinate point like (0,15)

Q: 51) Barney's money earned $204 in interest after 1 year. He invested some of his money in an account...

A: Let P be the principal amount.Here, the simple interest is $204 for one year.

Q: Evaluate the expression without using a calculator. log5( log232 log 5 ( log 232) Enter your answer ...

A: Given expression is,

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

A: Consider the given system of equations:

Q: Write the point-slope form of the line's equation satisfying the given conditions. Then use the poin...

A: We are given two points

Q: using the values a=4, b=2 and c=5, find the value of each of these expressions. a) 4a+2b b) 2a=b ove...

A: Click to see the answer

Q: Determine the domain of the function f (x) = 1 − x.

A: The domain of f(x)=1-x is the possible values of x.

Q: (1/12x4+5/8x3+5/8x2+4)+(-7/12x4+3/8x2-4)=

A: Firstly, we remove the brackets and then we collect the like terms and solve as shown on board.

Q: Use the Intermediate Value Theorem to show that the polynomial f(x) =2x"-11x +4 has a real: zero bet...

A: We have to find f(-2) f(-2)=-8

Q: Determine whether the following statement makes sense or does not make sense, and explain your reaso...

A: We can rewrite the equation y=mx+b in the form mx-y+0z=-b

Q: #33

A: The slope-intercept form is y=mx+b. Given that slope=m= 3/5 . And it passes through (-7,-12). We can...

Q: The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be redu...

A: To calculate the amount of mass of after 6 half-lives if the initial amounts of radioactive isotopes...

Q: Use the leading coefficient test to determine the end behavior of the graph of the given polynomial ...

A: Given:The function is f(x) = 7x7 +2x6 + 8x4 + 8.

Q: The monthly rent of a 80 square meter apartment in Monte Carlo is 1150 euros. The monthly rent on a ...

A: Consider that apartment in monte carlo cost 1150Euros for each 80m2.If apartment in Santa Fe, New me...

Q:

A: The given quadratic equation is,

Q: First find f+ g, f-g, fg and Then determine the dormain for each function. 9 9x+5 8x+3 f(x)= g(x)= 2...

A: The functions are

Q: mplele) (4 pt Use the given conditions to write an equation for the line in point-slope form and in ...

A: Given, Required line passing through the point (-3 , -2) and parallel to the line y = -3x+5.

Q: Graph the circle 4x^2+4y^2+8x-24y+31=0

A: The given circle equation is

Q: #19

A: 19. The given equation is

Q: #9 Directions: Write the equation of the line in S.I. and S.F.

A: It is given that the equation is passing through the point (6,-4) and perpendicular to the line x-4y...

Q: Find an equation of the circle whose diameter has endpoints (-5, 6) and (3, 2). X

A: Click to see the answer

Q: Let f(x) = 4x2 + 6x -5 and simplify f(2+x)

A: The given function is f (x) = 4x2+6x–5.

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

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

Q: O EXPONENTIAL AND LOGARITHMIC FUNCTIONS Paul Graphing an exponential function and its aymptote: f(x)...

A: Given function is: For the given function when x = -2 For the given function when x = -1 For the giv...

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

A: (a)Consider the given function:

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: Find the domain of each of the functions below. s(y) = 3y/ y +5

A: In this question possible values of y are domain. Denominator can't be equal to 0 in a function.

Q: O SYSTEMS OF LINEAR EQUATIONS Solving a word problem using a system of linear equations of. A store ...

A: Let the cost for each pound of trail is $x.Let the cost for each pound of trail is $y.For 9 pounds o...

Q: (3/-6) (-11V-10) 11V - 10

A: To calculate the value of the provided expression which is shown below,

Q: How many quarts of pure antifreeze must be added to 7 quarts of 40% antifreeze solution to obtain a ...

A: Let us add x quarts of pure antifreeze to the 7 quarts of 40% antifreeze, to achieve 50% antifreeze ...

Q: Find an equation of the parabola with vertex , 34 and directrix =y2 .

A: It is given that the vertex of the parabola is (3,4), where h = 3 and k = 4 and the directrix is y =...

Q: Use synthetic division to divide: f (x) = 10x^ 4 −50x^ 3 −800 / x −6

A: We are given a function

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: Use the properties of logarithms to expand the expression as a sum, difference, and/or constant mult...

A: In this question we a have two log expressions which we have to write as a sum, difference, and/or c...

Q: Determine algebraically whether f and g are inverse functions. f(x) = 5x - 3 g(x)= x+3/5

A: Given:The functions f(x) = 5x - 3 and g(x) = (x+3)/5

Q: Find an equation of the circle whose diameter has endpoints (-3,6) and (-3,3)

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

Q: 20 of 30 (4 complete) This Question: 1 pt Find the domain of the function. f(x)- 2-2x What is the do...

A: Consider the provided function:

Q: Find an equation of the circle that has center , 2−5 and passes through , 6−1 .

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

Q: Find an equation of the circle whose diameter has endpoints (-5, -6) and (1, -6). ? X

A: Center is the mid point of (-5,-6) and (1,-6). Center =(-2,-6)

Q: Solve the following logarithmic equation. Be sure to reject any value of x that is not in the domain...

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

Q: Find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the gra...

A: Calculation:Simplify the given function as follows.

Q: Solve the equation by factoring. Please explain how you did your work. 4x2+11x-45=0.

A: We have to compare 4x^2+11x-45=0 with ax^2+bx+c. So, a=4 , b= 11 , c = -45. In ax^2+bx+c form we hav...

Q: If a given line has a negative slope, then what is the sign of the slope of the line that is perpend...

A: Given information:The line has a negative slope.

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

A: we are given system of equations as

Q: Given the graph what are the intervals on which f is one-to-one (Simplify your answer).

A: We have a graph of the function and write the interval where given function 'f' is one-to-one.

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.