57-58 . Linear? Determine whether the given function is linear. x + 3 57. f(x) = (2 + 3x)² 58. g(x) = %3D

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A: The given statement is ; If it rains, then it pours   

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A: (a) Average =Total sumno. of setIt is given that cost of manufacturing x shirts is A.So Average cost...

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Q: Consider the following functions. f(x) = 3x², g(x) = x = 2 %3D %3D (a) Find (f o g)(x). (b) Find (g ...

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Q: 49–64 ■ Solving Equations Find all real solutions of theequation

A: (9) Given equation is: x2-9x+14=0 Splitting up the middle term we get, x2-7x-2x+14=0 Taking x as a c...

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Q: 15 m 7m 15 m 17m 8. What is the area of the trapezoid above, in square meters? HINT: The bases of a ...

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Q: If a projectile is launched vertically upward from the ground with an initial velocity of 90 ft per ...

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Q: 10 1. 10% from = 0.1 100 180 2.67% from N 0.67 270 3. 30% from 90 = 0.3 300

A: Question and the percentages.

Q: A B. C 3. In the figure above, A ABE is equilateral and quadrilateral BCDE is a square. If the area ...

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Q: Solve and show steps, really need help understanding this topic

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Q: Linear Algebra:

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Q: 4. The area of a parallelogram is 198 square units. If the base and the height of the parallelogram ...

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Q: Bobby got the problem wrong but isn’t understanding why since 6(2)+3(5)=27. Explain to Bobby where h...

A: Given: The system of equation are y=2x-2 and 3x+3y=21. Solution: Substitute 2x-2 for y in equation 3...

Q: Find the exact value of the expression whenever it is defined.

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Q: 1. For the conditional statement ~p→q, write each of the following (in symbols): a) the converse b) ...

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Q: Evaluate (f o g)(x) or f[g(x)] f(r) = – 9x2 – 6x – 8 - | g(x) = - 2x 7 %3D || (fo g)(x) = f[g(x)] = ...

A: Given f(x) = -9x² - 6x - 8 And g(x) = -2x - 7 Evaluate (f o g)(x) = f[g(x)] =?

Q: 2. How does the graph of f (x) =- Vx+4 – 3 differ from the graph of y = - VX?

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Q: 5–6 ■ Yes or No? If No, give a reason.5. (a) Is the average rate of change of a function betweenx  ...

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Q: Drag the appropriate number into each box to match each expression with its value. (-3)* 34 25 -81 1...

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Q: The sum of the first n consecutive even numbers can be found using S = n2 + n, where n > 2. What is ...

A: S=n2+n, n≥2

Q: For the function f(x) = 4x2 - 5x, evaluate and simplify.

A: Given,          The function is fx=4x2-5x .

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Q: Explain how to use Pascal's Triangle to expand the binomial (3x-4y)^11

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Q: Cost of a Hotel Stay A hotel chain charges $75 each nightfor the first two nights and $50 for each a...

A: (a) When 0≤x≤2, the cost is: Tx=75x When x > 2, the cost is: Tx=150+50x-2 Hence the piecewise fun...

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Q: Find the real solutions of the equation.   6x+8=3 Select the correct choice below and fill in an...

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Q: 4. Rachel was carpeting a square-shaped room. The area of the room was 165 square feet. Which of the...

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A: Given,          The function is fx=4x+3 .

Q: Find the distance from the point Q to the plane p. Q= (0, 0, 0), p with equation x - 2y + 2z = 1

A: GivenQ=0,0,0p:x−2y+2z=1

Q: CRQ 6 Factoring Polynomials: Explain how to write x^2+5x+6 as the product of two linear factors. Use...

A:   we have the given quadratic equation as x2+5x+6   The standard equation is  ax2+bx+c

Q: . Replace each frame by a numeral that will make each sentence true. 1. +3 8 = 15 + 5 x 2 %3D

A: Since you have posted multiple questions, as per our policy we will answer first question. Please re...

Q: 11. Demonstrate how a natural exponential function can be used to approximate the value of GH¢ 30,00...

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Q: 10 18 6. In the figure above, the eight sides all meet at right angles, and one horizontaland two ve...

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Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.