c) The following steps show how the equation for the average rate can be transformed so that it is written in terms of only the rates for each leg of the trip. Write an algebraic justification for each step. Think about the number of operations and properties that you know.

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A: Solution ) f (x) = 2x + 6 , g(x) = x/2 - 3 f ( g (x) ) =  2 ( x/2 - 3 ) + 6  f ( g (x) ) = x - 6 + 6...

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A:

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A: This is a basic algebra problem

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Q: sson/lesson_practice#! erforming the indicated operations and combining the similar (or like) terms....

A: We will perform the algebric expressions. 

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A: fx=5x, gx=2x2+1, hx=6x+2

Q: 2. Simone bought her house for $150,000 in 2000 and sold it for $725,000 in 2020. What are the total...

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Q: Suppose that A is a 18 × 14 matrix that has 10 pivot columns. Then: (1) dim(ColA) is (i) dim(RowA) i...

A: NOTE: Refresh your page if you can't see any equations. . the dimension of the matrix is  which the ...

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A: The solution is given in the next step.

Q: Use the graph below to fill in the missing values. 5- 4 2- f(x} -1 2 f(0) %3D f(x) = 0 x = f(0) = 3.

A:

Q: if your daily value of vitamin C is 60 milligrams, then how many milligrams is 95% of your daily val...

A: Explained below 

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Q: What is the simplified form of 5x³/15x⁴?  A. x² B. 3x C. 3/x D. 1/3x 2. What is the result when you...

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Q: Problem 2. Consider the following system of lincar equations: I+ 2y +:=1 5r - 3y + 3: = 2 2r + 6y + ...

A: 2) Given:           System of linear equation:                      x+2y+z=1                      5x...

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Q: Algebra TA (LL) Cranbe Rate of Change of a Linear F Find the rate of change of each function bE 4 2 ...

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Q: Function Transformation If (4, ordered pairs must also be on the graph of y = f(x + 1) + 5? - 2) is ...

A: Given problem:- If  (4, - 2) is a point on the graph of f(x) identify which of the following ordered...

Q: Describe and plot the set of all complex numbers that satisfy the equation Iz - 2il = Im(z) %3D -2

A: We have to plot the complex graph satisfying the given equation.

Q: Determine the coefficient a, b ,c and d so that the cruve will satisfy the stipulated condition. Ma...

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Q: The data below is for a certain function h (x). h |(x) |-3 21 1 3 |4 1 8 -5 Through which of the fol...

A: Topic = Functions   Correct option (21 ,-3) 

Q: Mark all the true statements. If two sets are equal, then they must also be equivalent. O If two set...

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Q: Island Size 12 |11 19 21 42 |13 23 28 |(hectares) Puffin Pop. 120 38 60 104 130 229 63 |111 132 Find...

A: Solution : Island size(hectares) Puffin population 21 120 12 38 11 60 19 104 21 130 4...

Q: erse of f (x) = }x +1. w

A:

Q: Describe and correct the error a student made in writing the exponential function. Starting value=6 ...

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Q: SETS Prove that X ⊆ Y if and only if X ∪ Y = Y.

A: Draw a sets of X and Y and plot different cases and check all conditions having XUY=Y.

Q: In this activity, you were given the opportunity to sketch the graph of polynomial functions. Sketch...

A: Since this is a multiple subpart question, according to the Bartleby answering rule, only first thre...

Q: . What is the total cost of a merchandise selling at P17,500 plus a sales tax of 8%? 8. The sales ta...

A: Given: What is the total cost of merchandise selling at P17,500 plus a sales tax of 8%? 8. The sales...

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Q: Find the coordinates of the vertices of the ellipse with foci at (-6,-3) and (10,-3) and has minor a...

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Q: 12-Sketch the function. · F(x)= - (x-1)(x+3)(x-7)

A: Topic:- function

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A: This question is based on function and domain range . By placing the value of x we found the value o...

Q: At a local corner store,the cost of banana of the corner store is 0.85,and cost of a bottle of soda ...

A: Cost of n bananas is equal to product of cost of one banana and n

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A: slope intercept formy=mx+c ; c→vertical intercept, m→slopeand Intercept form of a line xa+yb=1 ; a→h...

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A: As per guideline we will only solve the first three subpart of the question number 1 .If you want mo...

Q: A positive slope makes a line slope down as it moves from left to right. O True O False

A: The slope intercept form of a straight line is given to be y=mx+c where, m is slope and c is y- inte...

Q: Fill in the blank. 4,502% = 4(1,000) + +2 %3D

A: We can fill up the blanks as per number rules as below

Q: -Adhian needs to repair his nLP mateccycle There cre tuso mechanics in town. The Rices foG Mechanic ...

A: NOTE: Refresh your page if you can't see any equations. . Mechanic A: here we have x=50 hours

Q: 1 2 2 18) The fractions and 4 are like fractions. 5 - 7 19) The fractions and are unlike fractions. ...

A:

Q: In Kathy's garden there are 105 ladybugs. They are increasing at two ladybugs per month. There are c...

A: Given that In Kathy's garden there are 105 ladybugs. They are increasing at two ladybugs per month. ...

Q: I Findk the GS op the bE (x+3y)kk +(3x+g-) dy mo 50

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Q: A change to the y-intercept moves the line up or down in the coordinate system. O True O False

A: Given query is to find the statement is true or false.

Q: Function Transformations Reflections Identify and plot the point that is a x-axis reflection of the ...

A: Given query is to find the point after indicated reflection.

Q: SOLVE THE LINEAR SYSTEM Ax =6 5. X, + 3 X2 + 2 X3+ Xy = 8 2X, + GX,+ 5Xg + 3Xy = 6 USE GAUSS-JORDAN ...

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Q: 8. 1 3 7 k 4 If the dimension of the eigenspace corresponding 5 Let A = 8 3 to eigenvalue 8 is 2, th...

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Q: en the angles a, B where 0 < a, ß< , which of the statements is TRUE? The angle a + B is in QIV The ...

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Q: Bobby says that 1/5 is halfway between 1/4 and 1/6 because 5 is halfway between 4 and 6. Is he corre...

A: We have to find out the halfway between numbers

Q: . Ivan’s father is twice as old as Ivan. In 15 years, Ivan will be two-thirds as old as his father. ...

A: Given; 1) Ivan’s father is twice as old as Ivan. In 15 years, Ivan will be two-thirds as old as his ...

Q: 11. What is the product in simplest form? State any restrictions on the variable x +7x +10 x- 3x-18 ...

A: