Simplify a - {b - [c - (d - e) - f] - g}.

Answers

Answer 1

Answer: The key is to work from the middle.

c - (d - e) - f = c - d + e - f

b - (c - d + e - f) - g = b - c + d - e + f - g

a - (b - c + d - e + f - g) = a - b + c - d + e - f + g

Answer:
a - b + c - d + e - f + g

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Which of the following expressions represents a function?{(1, 2), (4, –2), (8, 3), (9, –3)}

y2 = 16 − x2

2x2 + y2 = 5

x = 7

Answers

{(1, 2), (4, –2), (8, 3), (9, –3)} and x = 7 represents a function.

Identify the expression equivalent to 4(x + x + 7) − 2x + 8 − 4 by substituting x = 1 and x = 2.

Answers

4(x+x+7)-2x+8-4 X=1
4(1+1+7) -2(1) +8-4
4(9)+2
38

4(x+x+7)-2x+8-4 X=2
4(2+2+7) -2(2)+4
4(11)-4+4
44

Answer:

Step-by-step explanation:

So if we do 4(x+x+7)-2x+8-4 X=1

then 4(1+1+7) -2(1) +8-4

and 4(9)+2

it would be 38

then if we do 4(x+x+7)-2x+8-4 X=2

and 4(2+2+7) -2(2)+4

also 4(11)-4+4 it would be 44

Solve for y.
-8y- 7+5y = 29
Simplify your answer

Answers

Answer:

Step-by-step explanation:

-3y - 7 = 29

-3y = 36

y = -12

The area of a rectangle yard with a width of 6a^2 b feet is 72 a^3b^4 square feet. What is the length of the rectangle

Answers

Answer: 12ab^3

Step-by-step explanation:

The length of the rectangle will be gotten by dividing the area by the width. This will be:

Length = 72 a^3b^4 / 6a^2 b

= 72 × a × a × a × b × b × b × b / 6 × a × a × b

= 12 × a × b × b × b

= 12ab^3

In your own words, define “rate of change.” Give an example.This is Advanced Functions, not sure how to explain the term out on paper but ik what it means, any help?

Answers

how fast or slow something changes over a period of time

it can generally be expressed as a ratio between a change in one variable relative to a corresponding change in another, graphically the rate of change is represented by the slope of a line

On Monday, it took Helen 3 hours to do a page of science homework exercises. The next day she did the same number of exercises in 2 hours. If her average rate on Monday was pexercises per hour, what was her average rate the next day, in terms of p?

Answers

p- it is amount of exercises
average= $(exercises)/(hour)$
Monday average= $(p)/(3h)$
Tuesday average= $(p)/(2h)$
If we take into account both days and calculate average from Monday and Tuesday ( we sum 3h on Monday and 2 hours on Tuesday and p exercises on Mon and p exercises on Tuesday):
Monday and Tuesday average= $(2p)/(5)$

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