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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: Add (0.04x5-0.4x2+x+0.07)+ (-0.03x5+x3-0.8x-005)

A: Firstly, we remove the brackets , and then we collect the like terms and solve.

Q: Use properties of logarithms to expand the logarithmic expression as much as possible. Where possibl...

A: We first use division property of logarithm.

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: Algebra Question

A: Refer to the question for the given function f(x) = 4x2+12x-40 and g(x) = x + 5. we need to calculat...

Q: Use the leading coefficient test to determine the end behavior of the graph of the given polynomial ...

A: Given:The function is f(x) = 7x7 +2x6 + 8x4 + 8.

Q: O SYSTEMS OF LINEAR EQUATIONS Paul Solving a distance, rate, time problem using a system of linea......

A: Let speed of the boat is x and the speed of the current is y.

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: 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: 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: 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: 2x2=5x-1

A: The equation is given by,

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: 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: 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: 6. For the given functions f and g, algebraically find (f-g)(x) f(x) = -5x3- 7x2 - 8x g(x) = 12x3- 6...

A: Given,

Q: What are the zeros of the function x^2+2x-3 over x^2+3x+2

A: To find the zeroes of the function x2+2x-3 over x2+3x+2.The zeroes of a function are the values such...

Q: Solve the system. -5x y= 13 y-22=-5 X- 2y + Z= 5 Select the correct choice below and fill in any ans...

A: We are given system of equations as

Q: #34

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

Q: (1/12x4+5/8x3+5/8x2+4)+(-7/12x4+3/8x2-4)=

A: Firstly, we remove the brackets and then we collect the like terms and solve as shown on board.

Q: The length of the longer leg of a right triangle is 13inches more than three times the length of the...

A: Let the length of shorter leg be x.Then the length of the longer leg will be 13+3x.The length of the...

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: 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: 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: For # 37 #37) points (-7, 4) and (0, -8)

A: In this question we have the two points (-7,4) and (0, -8)We need to find the equation in slope inte...

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: The graph of a function is given. Determine whether the function has an inverse function. Does the g...

A: This graph satisfies vertical line test.

Q: Solve the logarithmic equation. Be sure to reject any value of x that is not in the domain of the or...

A: We are given logarithmic equation as

Q: Find the inverse function of the following: h=f(t)=96t-16t^2

A: It is given that the function h = f(t) = 96t – 16t2.Obtain the inverse of f(t) = 96t – 16t2 as follo...

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

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

Q: #38

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

Q: A Web music store offers two versions of a popular song. The size of the standard version is 2.7 meg...

A: Given that a Web music store offers two versions of a popular song. The size of the standard versio...

Q: Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of on...

A: Let a be the cost of advance ticket and s be the cost of of same day.It is given that combined cos...

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: 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: 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 system for x and y, expressing either value in terms of a, if necessary. Assume that a #0....

A: We are given system of equations

Q: Evaluate the expression without using a calculator. log 2 log2- Enter your answer in the answer box....

A: We first use exponent rule of logarithm. The exponent becomes coefficient.

Q: Suppose that the amount of time it takes to build a highway varies directly with the length of the h...

A: Time (T) is proportional to the length of the highway (L) and inversely proportional to the number o...

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: Use a graphing utility to obtain a complete graph for the polynomial function. Then determine the nu...

A: Answer: Option A graph matched.

Q: If a given line has a negative slope, then what is the sign of the slope of the line that is perpend...

A: Given information:The line has a negative slope.

Q: I am having a math confusion here b2-a over ad+3c a=-2b=5c=-1d=3 I keep coming up with 12 over -9 th...

A: To calculate the value of b2-a over ad+3c where, the value of a=-2, b=5, c=-1 and d=3. Now, substitu...

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: 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: 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: Write the standard equation of the circle shown in the graph. 1) -5 3 -2 -t .3

A: Known fact:The standard equation of the circle is (x - h)2 + (y -k)2 = r2

Q: Please explain the solution which you will provide in detail. Concentrate on D and E more

A: Since we only answer up to 3 sub-parts and you asked to concentrate on D and E specifically, we’ll a...

Q: Evaluate the piecewise function at the given values of the independent variable. 2x+5 if x <0 f(x) 3...

A: Since -3 is less than 0, so we have to use the first part of the function where f(x)= 2x+5 if x<0...