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Q: For 1-5, use the following function and use proper set builder or interval notation when appropriate...

A: The domain of the function is the values of x. And we have -3<= x <= 2 and x>2. Combining t...

Q: Write an equation (slope-intercept form) of the line L satisfying the given conditions: 1.) L passes...

A: 1)The slope of line ax+by=c is -a/b, using this we can calculate the slope of given line m1 which is...

Q: find the equation of a circle in which the endpoints of the diameter of a circle are at (4,-5) and (...

A: Given: The endpoints of the diameter of a circle are

Q: Scientific notation is a common way of writing very large numbers. In everyday life we see this when...

A: Storage space of the phone = 10 gigabytes = 104 megabytes.Size of the game = 76 megabytes.

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

A: Given expression is,

Q: Condense the expression to the logarithm of a single quantity (c) 4 [lnz +ln(z +5)] −2ln(z −5)

A: Consider the provided expression.

Q: #38

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

Q: x2-5x+6=0. find the value of x

A: Obtain the value of x as follows.

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: #34

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

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: find the equation of a circle that has the center of (0,3) and passes through (2,-5)

A: From the given statement, the center of the circle is (0, 3) and it passes through (2, –5).

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: In Exercise 4, given each set of numbers, list the a) natural Numbers b) whole numbers c) integers d...

A: Given set of numbers are:Natural numbers:The numbers that are used for counting are called natural n...

Q: How do you find the zeros and multiplicity of the function x^3+5x^2+7x+3 given that one zero is -1

A: Consider the given function:

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

A: We are given equation of parabola as

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: Solve for x: e x^ 2+6 = e 5x

A: Solve the equation to find the value of x.

Q: A car rental company charges an initial fee plus an additional fee for each mile driven. The charge ...

A: The charge to rent economy car is given by the function,

Q: 50) Use the graph of f(x) shown for the following: a) Identify x values where: f(xs undefined f(x)=0...

A: a) It is clear from graph, if x approaches 1 from left , f(x) approaches -infinity and if x approach...

Q: Solve Inequality |7x+3| > 15. What are the steps to putting my answer(s) in interval form?

A: From |7x+3|>15 we get two inequalities. 7x+3>15 and 7x+3<-15. We will solve for x from thos...

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: #37 A faucet can fill a tub in 12 minutes. The leaky drain can empty the tub in 30 minutes. If the f...

A: Click to see the answer

Q: 11) In 2006 the average yearly tuition of a private college was $30,000, and it is projected to incr...

A: Let x represents the number of years after 2006 and $ y represents the yearly tuition fees, When x=...

Q: 121=(4q+5)2

A: To calculate the value of q from the provided equation which is mentioned below,

Q: A sample of 125 light bulbs contained 3 defective bulbs. How many defective bulbs would you expect i...

A: Given infromation:A sample of 125 light bulbs contained 3 defective bulbs.Calculate:P(defective)=3/1...

Q: Find the midpoint M of the line segment joining the points A=(1,-2) B=(-7,-8)

A: The given points are…A=(1,-2 ) and B=(-7,-8)The formula to calculate mid-point is…

Q: Determine whether the function has an inverse function. If it does, find the inverse function. f(x)...

A: The function is given by,

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: Use the given function to complete parts (a) through (e) below. f(x)-x-9x2 O Even, y-axis symmetry O...

A: The given function is,

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

A: a)The given equation is 21x+3y=0.Rewrite 21x+3y=0 as follows.

Q: Stan paid $580.50 after taxes for a new television. If the sales tax rate is 7.5%, what was the cost...

A: Given, total cost = $580.50 and sales tax rate = 7.5%

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: #32

A: Question: To write the equation of a line in Slope-Intercept form and Standard form that has a slope...

Q: 21) A camera production company's revenue is given by: R(x)-2x1 52x +750, where x is number of camer...

A: Find the number of cameras when the company produce to make $500.A camera production company’s reven...

Q: how can you figure out the end behavior of the function 1/2(x-1)(x+1)^3(x-2)^2

A: Given:The function is

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: Solve for x: 3^x+1 = 27

A: The given equation is,

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: #58

A: Given,

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: (2z-11)2+3=17

A: Given information:The given equation is (2z-11)^2+3=17.

Q: Use the Rational Zero Theorem to list all possible rational zeros for the given function. fx) -3x-4x...

A: First we have to find all the factors of 6.

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: 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: 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: 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: Consider the arithmetic sequence with the first term ai = 300 and common difference d=-90. What are ...

A: In an arithmetic sequence the terms can be obtained by adding the common difference to the previous ...