Q: Find an equation of the parabola with vertex , 1−4 and focus , 7−4 .
A:
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A: The given inequality is,
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A: The given function is f(x) =x–2x+8.
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A: To calculate the all intercepts in ordered pair including the end behaviour and H if the provided po...
Q: Condense the expression log4 x + log4 3 to the logarithm of a single term.
A: We will use the addition rule of logarithm.
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: f Then determine the domain for each function. 9 First find f+ g, f-g, fg and f(x)-3x-32x+ 45, g(x) ...
A: Refer to the question for the given function f(x) = 3x2-32x+45 and g(x) = x -9. we need to calculate...
Q: The parent function f(x)=x3 is related to g. Use function notation to write g in terms of f. g(x)=(...
A: The parent function f(x)=x3
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: 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: 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: 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: What is the equation of the function that is obtained from f (x) = | x | by reflecting about the x -...
A: Given information:The given function is
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: Graph. (If there is no solution, enter NO SOLUTION.){x | x > −2} ∪ {x | x < 1}
A: {x | x > −2}
Q: #98
A: Consider the provided formula.
Q: if x<0 and y>0, determine the sign of the real number. 1 (a) xy (b)x2y (c) x/y +x (d) y-x
A: Calculation:(a)The condition on given real numbers are x<0 and y >0.That is, the condition x&l...
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: Evaluate the expression without using a calculator. log 24 log 24 Enter your answer in the answer bo...
A: Given information:The given expression is
Q: A local sandwich store has a fixed weekly cost of $570.00, and variable costs for making a roast bee...
A: One sandwich costs $0.45 So, x sandwichs cost $0.45x.Fixed cost is $570So, weekly cost= 0.45x+570Ans...
Q: Let g (x) = 12− x 2 , then answer the following questions: Identify the parent function:f (x) = Desc...
A: The parent function can be identified by removing the constants and coefficients from the given func...
Q: 6x-17 in the form quotient, plus remainder divided by divisor. Then use this form of the function's ...
A: First we do long division. Answer: g(x)=6+1/(x-3)
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: List all values of x for which each rational expression is undefined.
A: Given information:The given function is as shown below:
Q: Find C and a so that f (x) = Ca^x satisfies: f (0) = 2 and f (3) = 54
A: Consider the function f(x)=Cax.Given that f(0)=2 and f(3)=54.Substitute x=0 in f(x)=Cax.
Q: Why is rounding a number important?
A: Rounding is a way of simplifying a number to make that easier to understand and work with.Moreover i...
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: A boat's crew rowed 72 kilometers downstream, with the current, in 4 hours. The return trip upstream...
A: Let's assume x is average rowing velocity of the crew in still watery is average velocity of the cu...
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: For what value of x is g(x)=−5? please see attached
A: We first find the point which has y=-5That point is (6,-5)
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: Solve for x. 32x-10 -81 The solution set is Enter your answer in the answer box e Quizzes & Tests In...
A: Given that
Q: A sample of 125 light bulbs contained 3 defective bulbs. How many defective bulbs would you expect i...
A: To calculate the number defective bulbs in the batch of 3000 light bulbs. A sample contains 125 ligh...
Q: Factor the algebraic expression 4/10 1/10 X - X
A: Given algebraic expression is,x4/10-x1/10
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: #21 and #22
A: Since you have submitted two questions, we'll answer the first question. For the second question ple...
Q: Solve the inequality (x-3)(x-5)^2<0 Select all the intervals below that are included in the solut...
A: The given inequality is (x-3)(x-5)^2<0
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: Steve and Nicole entered a double-decker bus in London on which there were 5/8 as many men as women....
A: Given information:Steve and Nicole entered a double-decker bus in London on which there were 5/8 as ...
Q: Condense the expression to the logarithm of a single quantity (a) ln2+ln x
A: The given expression is,
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: (7)(-8)_____-14
A: Consider the given rational expression:Factorizing the numerator and denominator and then cancelling...
Q: # 41 # 42
A: Find the invested amount in both accounts.Let P be the principal amount.Here, the total simple inter...
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: Solve the given equation for x - 1•9 - 6 x = 7 •1
A: To solve the equation, PEMDAS rule is used to simplify the equation and then the variable is isolate...
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 equation is,
Q: Determine algebraically whether f and g are inverse functions. f(x) = 5x - 3 g(x)= x+3/5
A: To show f and g are inverse functions, we have to show f(g(x))=x and g(f(x))=x.
Q: Find an equation of the circle whose diameter has endpoints , 46 and , 4−4 .
A:
Q: 5+2x-x-4+8x
A: To simplify the provided algebraic expression which is provided as 5+2x-x-4+8x. Now, first group the...
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