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Q: On a reality television show, an officer traveling in a police cruiser at mph pursues Jennifer who h...

A: Hello there! You seem to have uploaded an incomplete question. In order to solve this question, we n...

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: Here, we find f(x+h)  by replacing x by x+h  ,substitute the values of f(x+h) and f(x) and then by r...

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 ...

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

A: The given equations are xy = 2 and 10/y = x.

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: 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: 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: For f(x) vx and g(x)=x-4, find the following functions. a. (fo g)(x), b. (gof(x); c. (f o g)(5); d. ...

A: Given that two function:

Q: What is the inverse equation for (x+2) over x? x+2 x

A: Given information:The given function is  

Q: 8) Use f(x) x-4x +2 and g(x) 5x-4 for the following a) Find S-g b) Find (flg)(x)and give the domain ...

A:

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: Determine whether the following equation is true or false. If the statement is false, make the neces...

A: Given statement is, 

Q: O LINEAR EQUATIONS AND INEQUALITIES Paul Solving a compound linear inequality: Interval notation Esp...

A: We first solve for x from 4x+1>=21

Q: The drag force F on a boat varies jointly with the wet surface area A of the boat and the square of ...

A: Drag force F directly varies with surface area A and square of the speed s.Wet surface area of boat ...

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: #1

A: The given pair of equation are 2x +5y = 4  and 4x +10y = 1.

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

A: Obtain the value of x as follows.

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: Find f(-x)-f(x) for the following function. 3 fx)=x +x-6 fx)-f(x)= (Simplify your answer. Do not fac...

A: Given,

Q: -18 = -3/4 y solve for y

A: To calculate the value of y from the provided equation  -18=(-3/4)y. Now, first resolve the fraction...

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: Find the quadratic function y = ax + bx + c whose graph passes through the given points. (-2,0). (1,...

A: Given information:The three points are as follows:(-2,0),(1,0) and (3,10)

Q: Let D = {b, a, c, k}, E = {t, a, s, k}, F = {b, a, t, h}. Using these sets, find the following:20. F...

A: Let us consider the universal set as set of all alphabets. Then F^c contains all elements os U excep...

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: x2 - 4x + 40=0   how do i complete the square in the problem above?

A: We are given equation as 

Q: Given the polynomial function  H(x)=1/2(x-1)^2(x+1)(x-2) write all intercepts as ordered pairs inclu...

A: To calculate the all intercepts in ordered pair including the end behaviour and H if the provided po...

Q: I caught 25 ducks and tagged them and let them go in a refuge. one month later i catch 70 ducks. I f...

A: The number of ducks caught first time is 25.The number of ducks caught second time is 70. But 6 of t...

Q: Divide. (-6x+8x-3) (x-1) 2 (x-6x +8x-3) (x-1)-L x- 1 (Simplify your answers. Do not factor.) Enter y...

A: The given expression is

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: 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:

Q: X2-x-4=0

A: Given,  

Q: f Then determine the domain for each function. Given f(x)=x+ 6 and g(x) 4x, first find f+ g, f-g, fg...

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

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: Set up the proportion and solve. 54) On the map of the United States, 1 inch represents 120 miles. I...

A: Let x denotes the actual distance between the two cities.Since, it is given that, on the map of Unit...

Q: A Web music store offers two versions of a popular song. The size of the standard version is 2.2 meg...

A: It is given that the size of the standard version is 2.2 MB and the size of the high quality version...

Q: Write the complete factored form off(x)=2x^3-3x^2-32x-15 given that k=-3 is a zero.

A: To calculate the complete factor of the function f(x)=2x3-3x2-32x-15 and the one zero of the provide...

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: Does the relation x(x + y) = 1 specify a function? Explain.

A: Refer to the question, we have to specify the relation, x(x + y) = 1 is a function.Then according to...

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

A: The given equation is,

Q: 3 Express the given function h as a composition of two functions f and g so that h(x) =(fo g)(x), wh...

A: Given that h as a composition of two functions f and g.

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: 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 mass of a radioactive substance follows a continuous exponential decay model, with a decay rate ...

A: We are given decaying rate r=7%r=0.07

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: Graph the circle 4x^2+4y^2+8x-24y+31=0

A: The given circle equation is

Q: Let A = [1 -1 -1              -1   1 -1              -1  -1  1]. Find a diagonalization if possible.

A: We first find the eigenvalues and eigenvectors of A.Start from forming a new matrix by subtracting λ...

Q: Solve the system. If there is no solution or if there are infinitely many solutions and the system's...

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...

Q: Simplify the expression 4 (10n^2-2) -5 (8n^2+4)

A: Consider the given expression

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.