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Q: Graph the hyperbola (y+3)2/16-(x+6)2/4=1

A: The given equation is (y+3)2/16-(x+6)2/4=1.

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: #38

A: From the given information, it is observed that the total length of the hardwood floor is 72-in. and...

Q: The following equation is given. x3-3x-4x+12=0 X a. List all rational roots that are possible accord...

A: a. Find the possible rational roots.

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.

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: Christine, Ali, and Henry served a total of 138 orders on Monday at the school cafeteria Henry serve...

A: Given information:Christine, Ali, and Henry served a total of 138 orders on Monday at the school caf...

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: 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: 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: I do not understand the first three questions. Can you explain me?

A: In this question, It has been given that,Total No. of people = 8855 people liked Future 116 people l...

Q: The worldwide sales in millions of hand-held PCs can be modeled by the function P(x) 1.85(x 1998) + ...

A: The given sales function is P ( x ) =1.85(x–1998)+4.

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

A: It is given that the size of the standard version is 2.2 MB and the size of the high quality version...

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

A: We are given an equation.

Q: x5y7/x-2y7

A: The given expression is x5 y7 / x–2 y7.

Q: Simplify the difference quotient f(x)−f(a)/x−a for the given function. f(x)=2-6x-x^2

A: The given function is f (x) = 2– 6x – x2. Substitute x = a in f (x) = 2– 6x – x2 to obtain f (a). f ...

Q: graph the parabola y=(x-5)2-2

A: Consider the given equation

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: Consider the function fx)= -3x +18x-8. Determine, without graphing, whether the function has a minim...

A: The function -3x2+18x-8.

Q: This Question: 1 pt th 25 of 30 (4 complete) Find f(g(x)) and g(fx)) and determine whether the pair ...

A: Given,

Q: Graph the following function by making a table of coordinates. If applicable, use a graphing utility...

A: Given information:The given function is

Q: A laptop computer is purchased for $1850. After each year, the resale value decreases by 25%. What w...

A: A laptop is purchased for $1850. After each year, the resale value decreases by 25%.Let the resale v...

Q: What is the hypothenuse of an octagon?

A: Hypotenuse is the longest side of a right-angled triangle, opposite the right angle.

Q: graph g(x)=4log1/2x plot at least two points on the graph, draw all asymptotes,

A: Given information:The given gunction is g(x)=4log1/2x.

Q: Use the properties of logarithms to find the exact value of the expression. Do not use a calculator.

A: The expression is given by,

Q: O SYSTEMS OF LINEAR EQUATIONS Paul Solving a value mixture problem using a system of linear equ Espa...

A: It is given that the first car has fuel efficiency of 20 miles per gallon of gas and the second car ...

Q: Word Problems: 1) The Golden Gate Bridge in San Francisco is 2604 feet longer than the Brooklyn Brid...

A: 1.Let the height of Brooklyn bridge be x.Let the height of Golden Gate bridge be y.

Q: 6 of 30 (4 complete This Question: 1 pt Without graphing, determine whether the equation has a graph...

A: The equation is given as

Q: Find the quadratic function y ax +bx+ c whose graph passes through the given points. (-2,14), (1,-7)...

A: Given that,

Q: The points (-4,-4) and (3,6) are the endpoints of the diameter of a circle. Find the length of...

A: The distance between two points (x1,y1) and (x2,y2) is given by:Given points are (x1,y1) = (-4,-4)...

Q: The number of bacteria in a certain population increases according to a continuous exponential growt...

A: To use the given data (exponential model) to determine the initial data

Q: 3m+24=6m-3

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

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: 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^...

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: solve the system x-y+z=-1 x+y-2z=7 -2x+4y+2z=-4 x= y= z=

A: To solve the systemx-y+z=-1x+y-2z=7-2x-+4y+2z=-4The system of equations are,

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

A: (a)It is given that the function f(x) = √(x – 7).Obtain the inverse of the function as follows.Subst...

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: Aldo is walking. The number of calories he has burned varies directly with the number of minutes he ...

A: The number of calories burned by Aldo in one minute.As per graph, Aldo burn 12 units of calories in ...

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: Use the graph to determine (a) open intervals on which the function is increasing, if any. (b) open ...

A: Given graph is,

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

A: Click to see the answer

Q: Solve the following exponential equation by expressing each side as a power of the same base and the...

A: We first write 64= 4^3 and 1/sqrt(4)=4^(-1/2)

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

A: The given function is y=x2-4x-1.

Q: What is the equation of the function that is obtained from f (x) = ⎷x by shifting 1 unit to the righ...

A: If we shift f(x)= sqrt(x) 1 unit to right then we get f(x)=sqrt(x-1)