7. If log (*) = (log x + logy), show that x² + y² = 11 xy SECTION 3: THINKING

Q: Find the vertex of the parabola by applying the vertex formula. g(x)=3x²-18x-89 The vertex is (0,0)…

A:

Q: 5. nts Let 0 k 3 1 -2 2 4 3 1 Find the values of k where A is not invertible. A =

A: A=[0 k 3    1 -2 2    4 3 1]

Q: If f(14) = 11 and f is one-to-one, what is f¹(11)? f¹(11)=[

A: f(14)=11 and f is one to one function.

Q: Find the standard form for the equation of a circle (x − h)² + (y - k)² = p² - with a diameter that…

A:

Q: Use polynomial long division to find the quotient and the remainder when 4�3+2�2+�-2 is divided by…

A: step 1 : Take the first digit of the dividend from the left. check if this digit is greater than or…

Q: The function f(x)=x²-9, x ≥ 0 is one-to-one. (a) Find the inverse of f and check the answer. (b)…

A: Consider the function

Q: The number N of cars produced at a certain factory in 1 day after t hours of operation is given by…

A: The Number N of cars produced at a certain factory in 1 day after t hours of operation is given by…

Q: The inverse notation f1 used in a pure mathematics problem is not always used when finding inverses…

A: We have to find the inverse of the function.GIven function -

Q: x-2 if x < 0 -x+1 if x 20 9. h(x)=3 D=. R =

A: As per guidelines, we can solve only first question if multiple questions are asked. Please repost…

Q: State the domain of the given piecewise-defined function, using interval notation. f(x) = The domain…

A: Given:

Q: Use properties of logarithms to condense the logarithmic expression. Write the expression as a…

A:

Q: The graph of y=f(x) is given. Solve the inequalities. Write the solution sets in interval notation…

A:

Q: The graph of a company's profit P(t) in dollars, at month t is shown. Complete parts a and b below.…

A: Given the graph of a function.

Q: Giving a test to a group of students, the grades and gender are summarized below Male Female A B C…

A: Total number of students in the class = 13+4+12+3+17+19 = 68total number of students who got a 'B'…

Q: For the function f(x) = 6e*, calculate the following function values: f(-3) = f(-1) = f(0) = f(1) =…

A: Given that,           ,

Q: y = -x +3 y=-x+1 Solution

A:

Q: he domain of a one-to-one function f is [1,00), and its range is [-3,00). State the domain and the…

A: If the domain of f( x ) is If the Range of f( x ) is Then The Domain of will be The Range of will be…

Q: Use factoring to solve the polynomial equation. x³ + 2x²-16x-32=0 The solution set is. (Use a comma…

A:

Q: What's the terms worth?  3x - 3/4x² + 5x - 1/2x² + 3/4 + 2x² for = 1/2

A: We have to find the vvalue of x for which given equation equals .Given equationSimplifying the…

Q: Input N Input do Input T Input Output -12 -11 -10 -9 8 Output 2 Output -2 2 Output 5 Function…

A:

Q: State the domain and range for the following relation. Then determine whether the relation…

A: In this question, we will find the domain and the range.

Q: 1. Find the inverse of the matrix A if it exists. 2 6 6 A = 2 7 6 277 You must use the method in…

A:

Q: Question 13 Find the simple interest paid on a $930 loan at 7.5% annual interest for 11 months.…

A:

Q: 29. log, (9^r²)² 31. log √7x³ 30. log₂ y 5 52 32. log, m'n

A:

Q: Two lines have a slope of 3 and different y-intercepts.  How many solutions will this system have?

A: Two lines have a slope of 3 and different y-intercepts. To determine the number of solutions of…

Q: The function Wgives the temperature, In degrees Fahrenheit, of a pot of water on a stove tminutes…

A: The function W gives the temperature, in degree Fahrenheit, of a pot of wateron a stove t minutes…

Q: Simplify the given expression involving the indicated multiplication. x²-17x+72x²2 - 36 2 x²-3x-54…

A:

Q: Problem #3: The following vectors form an orthogonal basis for Rª. V₁ = (1,-1,2,-1), V₂ = (-2,2,3,2)…

A: The given vectors Given  and  To find the value of c

Q: 94 is congruent to modulo 15. (Find an integer n that is satisfies 0 ≤ n < 15.)

A:

Q: For an APR of 12.00% per year, if the interest is compounded (expression error), determine the…

A:

Q: For the function f(x,y,z) = 2 + 3xy4-42³, find fx, fy, and f₂.

A:

Q: 3 3 6. √√98y³ - 2√18y Radical Expressions

A:

Q: Choose the sequence that is written in DECREASING order: A. 13 13 13 B. 27'25'16 C. 13 13 13…

A:

Q: A windmill has blades that are 14 feet long. If the windmill is rotating at 5 revolutions per…

A:

Q: I need help answering the bottom question that's left blank, and I need help understand how to get…

A: The objective of the question is to calculate the monthly deposit required to reach a retirement…

Q: 4. Write loga x + loga 2y-loga 4z as a single logarithm. Assume that all variables 2 represent…

A: let,

Q: Write the equation of the ellipse that has a center at (-4, -3), a focus at (-7, -3), and a vertex…

A: We need to find the equation of an ellipse

Q: Refer to functions n and p. Find the function and write the domain in interval notation. Write any…

A: Given that the functions  to find the composite function, using the formula

Q: If u and v are the vectors below, solve the following equation for the vector x. 2 -3 3 4…

A:

Q: 12 Kilimanjaro is the world's tallest freestanding mountain and a popular destination for…

A: We have to find the a function that represents number of people climbing the mountain past 06 AM.Let…

Q: Find the angle (in radians) between the vectors and v'below. u0 2 √3 Give exact expressions for all…

A:

Q: A person standing close to the edge on top of a 16-foot building throws a ball vertically upward.…

A: The objective of this question is to find the maximum height of the ball and the time it takes for…

Q: Hello can you explain and help me Find the greatest common factor of the following terms? Thank You!…

A:

Q: Let L₁ be the line passing through the points Q₁(-4,-3, 2) and Q₂(-7, -5, -1) and let L₂ be the line…

A:

Q: A gold, a silver, and a bronze medal are awarded in an Olympic event. In how many possible ways can…

A: We need to find the number of ways these 3 medals can be awarded to 15 runners.In an Olympic event,…

Q: System A x-4y=8 -x-4y=8 O The system has a unique solution: (x, y) = D The system has infinitely…

A: Note that a=-a is never true.

Q: Ned took a test with 28 questions. He lost 3 points for each of the 7 questions he got wrong and…

A:

Q: We are standing on the top of a 384 feet tall building and launch a small object upward. The…

A: The objective of this question is to find the maximum height reached by the object. The equation…

Q: Create a graph that has the following two intercepts. Make sure to label each of the intercepts on…

A: The given intercepts are  and .The aim is to find the graph of the which passes through the given…

Q: Evaluate f(x+h)-f(x) h , given f (x) = 5 x+2 Use a / to represent a fraction line. Do not include…

A: The function is given byTo determine: The expression of .