1. a) Write the following expression as a single logarithm with a coefficient of 1. log(x² +3x +2)– 2log(x+1) b) Write the following expression using sums, differences, and constant multiples of simpler logarithmic expressions. X +1 In X - 1 In

Q: Write three different, but equivalent, expressions for each of the following logs. For example: log(...

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Q: Find and simplify each of the following for f(x) = 5x² - 7x + 8. (A) f(x + h) (B) f(x+h) – f(x) f(x ...

A: Given,            fx=5x2-7x+8

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Q: (a) Differentiate the series -4 1 -cos ((2k + 1)Tx) =0 (2k + 1)? term by term and plot various parti...

A: Given,:     f(x) = 1/(2k+1)2 cos ( (2k+1)πx )

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A: All parts are solved in 2nd step.

Q: +3 simpley then wrte as mealth

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Q: Choose all of the following statements that are true. Every nonempty set of nonnegative integers has...

A: Answer: The solution of the question is given below :  

Q: Choose from the following reasons below to prove the theorem. Some of them can be used twice. Factor...

A: Here is the solution

Q: Simplifies to z? ? 4lon, (4) Simplifies to z? ? Simplifies to z? ? log10(10*) Simplifies to z? ?

A: Given query is to which logarithmic expression simplifies to x.

Q: Topic: Graphing Techniques Let f(x) = x2. Find an equation of a function whose graph illustrates th...

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Q: Add this two equation  2x+7y=4 and -2x-8y=-2

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Q: when P(x) is divided by x2+3. The quotient is x2- 2 and the remainder is -5 find P(x).

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Q: Find the center-radius form of the equation of the circle. 8) center (-8, -10), radius 8 Graph the c...

A: Follow the procedure given. 

Q: 4f - 2f + 7 + 3f - 7

A: We have to apply operation on variable and costant separately. 

Q: PERFROMANCE TASK NO. 3 Goal: Answer the problem about circle. Situation: A circular plot with a 720 ...

A: Given diameter (D) = 720ft           radius R = D/2                      R = 360ft           

Q: Without graphing, determine whether the graph of each function is symmetric with respect to the orig...

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Q: 1. Graph the system of linear inequalities: a. S x< 2 y < 1

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Q: 3 What is the common ratio of the sequence a'b'. a'b 16 ab 3b 2a 1) 2) 3a 3) - 4) - 6a?

A: topic - geometric sequence

Q: Factor the following completely. 1. 16x? – 40x – 24

A: 1) as per our norms we have to write one question at a time kindly repost remaining questions.

Q: 6. The owner of a small restaurant bought 75 kilograms of rice. Each week, the restaurant uses 4.5 k...

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Q: The speed of sound through air is linearly related to the temperature of the air. If sound travels a...

A: Given query is to find the relation between the speed of sound in the air and temperature.

Q: Determine whether the three points are collinear. 5) (-2,6), (6, 4), (-10, 8)

A: As per our norms we have to write one question at a time kindly repost remaining questions  

Q: Section 2.3 #23: Paul has $20,000 to invest. He invests part of his money 8% and part at 12%. How mu...

A: We can find the required as below

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A: Modelsim: It is basically demonstrated as about various languages that are used under graphics purpo...

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Q: A boat is worth $7,000 when it is 5 years old and $2,000 when it is 10 years old. What is the rate o...

A: Here the boat worth at 5 year is = $7000                 boat worth at 10 year is = $2000 So the dep...

Q: 7. Retermine whether the two *= 13 (mud 23) and x'= 15 (med) solvable . are

A: 7) as per our norms we have to write one question at a time kindly repost remaining questions.

Q: 7 Circumference: Circles Find the circumference. Use 3.14 for t.

A: Given,            The figure of a circle is shown below :             To find : The circumference o...

Q: The graph of a function is given. y 5 3 X (a) Determine the net change between the indicated points ...

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Q: Riding your bike is good exercise. If your goal is to ride your bike a total of 140 laps around the ...

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Q: Given f(x) = 4x + 8 and g(x) = x° + x; find (fog)(- 5)

A: given that, f(x)=4x+8, g(x)=x2+x find (fog)(-5) we know that, (fοg)(x)=f(g(x))

Q: 2.

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Q: e circumference. Use 3.14 for n. 2 yd Circumference = yd

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Q: 5. (a) How long does it take for an investment to double in value if it s invested at 8% compounded ...

A: Given query is to find the time taken to become an investment double of its value.

Q: 12. a) Use the graph to solve y1 = y2. b) Use the graph to solve y1 < y2.

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Q: Find the number of distinguishable permutations of the letters in each word below. (a) greater (b) C...

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Q: Evaluate the function f (x) =x¯+4x for the given value of X. Simplify your answer.

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Q: Find the circumference of 2 use 3.14 for pie?

A: Solution: we know thatCircumference =2πr

Q: Question 2b Subtract 3 -. Simplify the answer. 14 21

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Q: EX Ana can paint their bedroom in 4 hours, while her older sister, Carla, can paint it in 3 hours. I...

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Q: What are the roots of x*- 25 ? A x=/5,x=i/5 only B x = + 5, x = ± 5i c x= x= + /5 only x = + /5, x =...

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Q: Find the sum of the whole numbers from 1 to 590.

A: The whole numbers from 1 to 590

Q: Toy rubber balls are packaged in a cylinder that holds 3 balls. The diameter of each ball is 6.9 cm....

A: As per guidelines we have to solve one question

Q: This is the graph of -2x + 4y 2 -4. O True O False

A: In -2x+4y≥-4Let -2x+4y=-4Let x=0 then4y=-4y=-44y=-1,If y=0 , then-2x=-4x=-4-2x=2Therefore line is pa...

Q: Suppose that a, b and e are the sides of a nght triangle, where side a is across trom angle A. side ...

A: find the angle and sides of right-angle triangle,  use sine rule  

Q: A survey of recent high school graduates regarding literature that they studied during their high sc...

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Q: The graph f(x)=|x| is shown below. Let g(x) be a transformation of f(x) shifted down 5 and left 5. D...

A: The graph f(x)=|x| is shown below. Let g(x) be a transformation of f(x) shifted down 5 and left 5. T...

Q: Suppose​ $6,500 is invested in an account that earns interest at a rate of​ 2% compounded quarterly ...

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Q: represented by ( ). Exercise 3: are any extraneous solutions. 1. X-3 +. 2х - 3 2. 3 X +1 3 7x 3. x-5...

A: These question are based on solution of equations .with the help of general operations and cross mul...