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Q: Last year, Isabel had $20,000 to invest. She invested some of it in an account that paid 7% simple i...

A: Given:Isabel had a total amount of $20,000 to invest.One of her invesetment gave her a 7% interest a...

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: 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: On a reality tv show, an officer is traveling 90 mph. He is chasing Jennifer who which had a 3 min h...

A: An officer is traveling 90 mph. He is chasing Jennifer who which had a 3 min head start before him. ...

Q: Consider the function f(x)-9x-9x Determine, without graphing, whether the function has a minimum val...

A: We are given a function as

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 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: Why do we need to fill in the second row before we fill the formula down?

A: In any question which demand the excel sheet the first step is to be all the data as the formulas wo...

Q: A family has two cars. The first car has a fuel efficiency of 40 miles per gallon of gas and the sec...

A: Total gas consumption in the given week is 40 gallons.

Q: 18) Given the function: f(x) 2x-1 if 1<x<3 a) What is the domain of f(x)? b Evaluate f(0) and fl) c)...

A: The function is given by,

Q: #58

A: Given,

Q: Mary wants to spend at least 20 minutes a day exercising. Write as an equation.

A: Given:Mary wants to spend at least 20 minutes a day exercising.

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: Jane, Kareem, and Ahmad served a total of 91orders Monday at the school cafeteria. Ahmad served 5 mo...

A: Let x, y and z be the orders serve by Jane, Kareem and Ahmad respectively.Rewrite the sentence as an...

Q: O SYSTEMS OF LINEAR EQUATIONS Paul Solving a word problem using a system of linear equations of. Esp...

A: Given information:Deandre the trainer has two solo workout plans that he offers his clients: Plan A ...

Q: (3/-6) (-11V-10) 11V - 10

A: To calculate the value of the provided expression which is shown below,

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: 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: Divide using long division. State the quotient, q(x), and the remainder, r(x). 5x 14x* + 14x+ 2x2+1 ...

A: The given expression is,

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: 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: 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: 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: 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: A motorboat travels 216km in 4 hours going upstream and 520km in 5 hours going downstream. What is t...

A: let the speed of a boat in still water is u km/hr and the speed of the stream is v km/hr, then:Speed...

Q: Use the vertex and intercepts to sketch the graph of the quadratic function. Give the equation of th...

A: In order to sketch the graph of quadratic function, convert the given quadratic function into standa...

Q: Solve by the method of your choice. 7x-2y 6 4x+y 12 Select the correct choice below and, if necessar...

A: We multiply the second equation by 2 and add to the first equation. So, x=2

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: 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: Simplify the expression 4 (10 n to the power 2 - 2) -5 (8 n to the power 2 + 4)

A: The given expression is

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

A: Find the space in a phone storage after downloads a game..

Q: Find an equation of the parabola with vertex , 34 and directrix =y2 .

A: It is given that the vertex of the parabola is (3,4), where h = 3 and k = 4 and the directrix is y =...

Q: Given the graph what are the intervals on which f is one-to-one (Simplify your answer).

A: We have a graph of the function and write the interval where given function 'f' is one-to-one.

Q: how to simplify 3/2-8

A: Refer to the question, we need to simplify the provided expression,

Q: 0.08x+0.09(9,000-x)=750 how do you solve equation

A: To solve the equation, PEMDAS rule is used to simplify the equation and then the variable is isolate...

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: 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: If two opposite sides of a square are increased by 12 meters and the other sides are decreased by 10...

A: Given that two opposite sides of a square are increased by 12 meters and the other sides are decreas...

Q: X2=10x+10 How do I complete the square in the above problem?

A: we are given a quadratic equation as

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: what is 2-5

A: In this question we have to explain what the value is of 2 - 5

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 equations are,

Q: FUNCTION OPERATIONS AND INVERSES Composition of two functions: Basic Suppose that the functions u an...

A: The given functions are,

Q: find an equation of a circle whose diameter has the endpoints (1,2) and (-1,-6)

A: Given that, the endpoints of the diameter of a circle is at (1,2) and (–1,–6).

Q: 4 y-fx) 36) Use the graph of the quadratic function to write it as: f(x)-a(x -h)'+k 26 -4-2

A: The graph is downwards parabola whose equation is (y-k)=a(x-h)^2, where (h,k) is the vertex of parab...

Q: Ay 6 Use the graphs of f and g to find (f+g)(2) f+g)/2) 12 6-5-4 -32 12 345 6 fx) -6 Enter your anSw...

A: Observe from the figure and find the value of the functions f and g at the point 2.

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

A: The unknowns in the given system are the quantities of water and cleaner.

Q: Given the function f(x) = x-15, x2 0, (a) Find f (x). (b) Graph f and f 1 in the same rectangular co...

A: (a)We are given a function as