For f(x)=-5x+3 and g(x)=square root x-5 Calculate (f°g)(x)

Q: show that the following function is continuous. Remember that u must also show the continuity for al...

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Q: If the set A has 3 elements and the set B = {3, 4, 5}, then find the number ofelements in (A×B).

A: Given that n(A)=3 From B = {3, 4, 5} we see that n(B)=3  

Q: T= {(-4, 6), (6,4), (3,3), (0, -7)}  What is the domain and range of T

A: Given  T= {(-4, 6), (6,4), (3,3), (0, -7)}     

Q: Algebra Question

A: First term= 3  

Q: A self storage center is a storage room that is 8 feet long, 6 feet wide, and 10 feet high. What is ...

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Q: Find all pairs of consecutive even positive integers, both of which are larger than 5 such that thei...

A: We have to find all pairs of consecutive even positive integers, both of which are larger than 5 suc...

Q: The perimeter of a rectangle is 44. The length is 5 less than double the width.Find the dimensions.

A: Let the width be x Length be 2x - 5 Perimeter = 44

Q: 10) The relationship between the volume V of a hemisphere and its radius r is given by the formula r...

A: Following are the solutions of given question.

Q: 2x - 5x-3 9) Consider the rational function defined by f(x) =: Determine the answers to (a) - (d) an...

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Q: Find f(a), f(a + h), and the difference quotient  f(a + h) − f(a) h , where h ≠ 0. f(x) =  ...

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Q: Simplify the expression. Write your answer in exponential notation. 72a b7 9a b5

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Q: The drag force on a boat varies jointly as the wetted surface area and thesquare of the velocity of ...

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Q: a company that makes and sells digital cameras has found that the total weekly cost of producing cam...

A: We have given the cost function C(x)=0.5x^2-210x+26250

Q: If 7.5 inches is the height and a diameter of 5 inches. What is the volume?

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Q: You sell lemonade for 25 cents per glass. You invested $6.00 in the ingredients. Write a formula tha...

A: To write the formula that gives the profit in dollars p = p (n), where n is the number of glasses.  

Q: Graph the following relations (Note that Z is the set of all integers and R representsthe set of all...

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Q: A horse and a saddle cost 5000 dollars. If the horse cost 4 times as much as the saddle, what was th...

A: Let the cost of saddle = $ x The cost of horse = $ 4x

Q: 1) (a) Evaluate |(2² – y°)dz +2rydy, along the circular C that is upper half-circle oriented counter...

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Q: Determine whether the following are linear operatorson Rn×n. L (A) = A − AT

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Q: #1

A: For plotting graph of a function y = f(x), we take random values of  x and calculate y, then plot th...

Q: For the polynomial p(x) = -(x – 10)²(x + 4) a. Graph p(x) by analyzing end behavior and multipliciti...

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Q: 19. Which of the following sets of transformations to the graph of y =x² will result in the equation...

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Q: last?dep=23200069 Find the number of terms in the finite arithmetic sequence. -3,0, 3, .., 84

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Q: how long will take for an investment to double in value if the interest rate 3% APR compounded conti...

A: We have A(t) = 2A(0) and r = 3% = 0.03

Q: I only need help with D and E, but if the whole problem gets solved that is fine.

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Q: Starting with the graph of f(x)=9^x, write the equation of the graph that results from

A: In case of upward or downward shifting magnitude of function f(x) increase or decrease respectoiely ...

Q: Prove that (A-1)-1 = A. %3|

A: Let A be inverse of matrix A. Then, by definition We know that

Q: Evaluate the arithmetic series. 11 E(4 = 7n) n = 1

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Q: sum of three numbers is 104. The second number is 4 times the third. The first number is 8 more than...

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Q: In an arithmetic sequence, as = 3, a10 = 58, find a1.

A: We have given In an arithmetic sequence, a5 = 3, a10 = 58

Q: Find two concecutive odd integers such that when the smaller is added to twice the larger, the resul...

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Q: Write your answer in exponential notation. eš f8 ÷ e³ f2

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Q: How to convert 24.4 x 103 to scientific notation? I understand it is 2.44 x 10? I don't know how we...

A: Since in scientific notation, the number should be less than 10, hence the number should be multipli...

Q: How do I graph the solution to the system here I don't know how to graph this or come up with the or...

A: To Determine: Graph the system of inequality                         

Q: The sale price of a spring break vacation package was $199.99, and the travel agent said by booking ...

A: Determine the original sale price. $199.99 + $40 = $239.99

Q: Find infinitely many polynomials f(x) in Z3[x] such that f(a) = 0 forall a in Z3.

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Q: Cyndee wants to invest $50,000. Her financial planner advises her to invest in three types of accoun...

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Q: A print shop makes bumper stickers for election campaigns. If x stickers are ordered (where x < 1...

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Q: find the 14th term of the following geometric sequence 5, 10, 20, 40, ...

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Q: prove why the function g is injective

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Q: The function f(z) is complex valued in the complex plane. f(z) is bounded and entire. Prove that f(z...

A: As per the Louisville's theorem, every entire function which is bounded must be constant. Use the de...

Q: Find the fourth term of the recursively defined sequence. 1 an = 5 2 + a n-1

A: To find the fourth term of the given recursively defined sequence.

Q: part a b c

A: (a) Use the quotient and chain rule to find the first derivative.  

Q: Find the indicated term of the geometric sequence -2, 6, -18, ...; a7 a7 =

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Q: 1. Prove that V is a vector space. V = pn , the set of polynomials with real coefficients and any de...

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Q: A solution is to be kept between 68° F and 77° F. What is the range in temperature in degree Celsius...

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Q: Define matrices.

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Q: For what values of b the equation       x2 - 4x + 4b = 0 has two real solutions?

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Q: Use the following information to answer the next question. The graph of function y= f(x) is %3D show...

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Q: A vehicle purchased for $22400 depreciates at a constant rate of 7%. Determine the approximate value...

A: Given that the vehicle purchased P = $ 22400   Depreciates rate (r) = 7 %   Time (t) = 15 years

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: