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Q: Shown to the right is a scatter plot that indicates a relationship between the percentage of adult f...

A: Indicated points are (0,250) and (60,160).Slope= -1.5 and y intercept= 250.Answer(a): f(x)= -1.5x+25...

Q: Determine whether the given ordered pair is a solution of the system. (3,-5) 2x+ 3y 9 3x-2y 21 solut...

A: We will plug x=3 and y=-5 in 2x+3y=-9 and check if it works. It works.

Q: A car is purchased for $31,000 . Each year it loses 30% of its value. After how many years will the ...

A: Let the depreciated amount be represented by D(t). then according to the given condition.

Q: Solve by completing this square m2+3m-40=0

A: We first add 40 to both sides.

Q: If a baseball is projected upward from ground level with an initial velocity of 64 feet per second, ...

A: Consider the provided function.

Q: Changing the order in a sequence of transformations may change the final result. Investigate each pa...

A: Horizontal shift; vertical shift: Let f(x) be a function. And we apply horizontal shift c on it. The...

Q: Use the One-to-One Property to solve the equation for x. ex2-4 = e3x

A: Refer to the question,According to one to one property of exponents if bases are same, af(x) = ag(x)...

Q: Solve each system by elimination #6

A: The system of equations is given as

Q: #22

A: Given:The point that the line passes through is (3,−5).The equation of the line which is perpendicul...

Q: The force needed to keep a car from skidding on a curve varies inversely as the radius of the curve ...

A: Given: The Force (F) that is needed to keep a car from skidding on a curve varies inversely as the r...

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...

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: Approximate the number using a calculator. 2.3 2.3 e (Round to three decimal places.) Enter your ans...

A: We first plug e^2.3 in the calculator.

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: If a given line has a slope zero, then what is the slope of the line that is perpendicular to it?

A: If the slope of a line is m, then the slope of the perpendicular line to it is -1/m.

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

A: Refer to the question,The provided function is,

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: Find the domain of the following rational function. 19x +X H() +8 Select the comect choice below and...

A: The given rational function is

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: #38

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

Q: Divide −4x2−2x+14 by 2x+3 Write your answer in the form: −4x2−2x+14=(2x+3)×q(x)+r(x) −4x...

A: Click to see the answer

Q: One number is seven less than four times another number. If their sum is 103. Find both numbers.

A: The given statement is

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

A: We first replace f(x) by y. Then we switch x and y. And then solve for y. This new y is replaced by ...

Q: Given the function f(x) = vx-7, (a) Find f (x) (b) Graph f and f (c) Use interval notation to give t...

A: We first replace f(x) by y. Then we switch x and y and solve for y. This new y is replaced by f^-1(x...

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

A: Let the cost of advance ticket be $x.Let the cost of same day be $y.The combined cost of one advanc...

Q: I want to start a lemonade stand and determine how much lemonade I need to sell to break even each d...

A: Let x be the number of glasses of lemonades.Given that, $0.50 per glass is spent for lemonade each d...

Q: Evaluate. (8^2-2^5)/(24/6)+3^2

A: To calculate the value of the provided expression (8^2-2^5)/ (24/6) +3^2. First simplify the bracket...

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: 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: Two mechanics worked on a car. The first mechanic worked for 20 hours, and the second mechanic worke...

A: Let the first mechanic charged $x per hour. And the second mechanic charged $y per hour. Given that ...

Q: When solving systems of we have at least two unknowns. A common example of a system of equations is ...

A: Let x be the number of liters of water and y be the number of liters of cleaner.Then the first equat...

Q: 72 voters are asked to rank four brands of soup: A, B, C, and D. The votes are summarized in the fol...

A: Since we are entitled to answer up to 3 sub-parts, we’ll answer the first 3 as you have not mentione...

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

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

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: 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: 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: 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)

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: A woman earned wages of $40,400, received $2000 in interest from a savings account, and contributed...

A: (a) To determine the person’s gross income.The gross income consists of the total income, the total ...

Q: Simplify the difference quotients f(x+h)-f(x)/h and f(x)-f(a)/(x-a) for the following function by ra...

A: The given function is,

Q: I am having difficulty with problems involving piecewise. Can I be helped in a step-by-step tutoring...

A: Piecewise functions are: pieces of different functions (sub-functions) all on one graph. The easiest...

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: Solve and graph the solution on a number line

A: Given infromation:The given inequality is x-3>1Calculation:x-3>1x>1+3x>4Graph:

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: 9) A surfboard with a regular price of $525 is on sale at 20% off. Find the sale price of the board.

A: Given information:The regular price of the surfboard is $525.The surfboard is on sale at 20% off. Th...

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

A: We are given an equation as

Q: Chemistry: How much acetic acid is in a 15-liter container of acetic acid and water that is marked ...

A: It is given that, the container contains 15-liters of solution and the given solution contain 60% of...

Q: # 90 and #91

A: 90. Solve a formula for a specific variable.

Q: You have $1200 for your trip to the beach. You estimate that it will cost $160 a day for food entert...

A: Given:The total amount for the trip to the beach is $1200.The cost of food, entertainment and hotel ...

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Approximate the number using a calculator. -0.31 -0.31 (Round to three decimal places.) Enter your answer in the answer box. Quizzes & Tests In.. e Take a Test CH