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Firdavs [7]
3 years ago
6

How can you tell if the expression 7x-4 and 6x-4-x are equivalent

Mathematics
1 answer:
olga_2 [115]3 years ago
8 0

Answer:

see below

Step-by-step explanation:

7x-4          6x-4-x

Combine like terms on the second expression

7x -4          6x -x -4

                 5x -4

These are not equivalent  expressions

7x -4  does not equal 5x-4

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Calculus help needed!
mezya [45]

f(x)=\ln x\\\\g(x)=\ln11x=\ln11+\ln x\ \ (\ln11=const.)\\\\h(x)=\ln x^2=2\ln x\\\\p(x)=\ln3x^2=\ln 3+\ln x^2=\ln3+2\ln x\ \ (\ln3=const.)

Used:

\ln a+\ln b=\ln(ab)\\\\\ln a^n=n\log a


Functions have the same derivatives if they differ a constant.

h(x) = f(x); g(x) = f(x) + const.

h'(x) = f'(x)

g'(x) = (f(x) + const.)' = f'(x) + (const.)' = f'(x) + 0 = f'(x)

h'(x) = g'(x)


Therefore yuor answer is A. f'(x)=g'(x)



f'(x)=(\ln x)'=\dfrac{1}{x}\\\\g'(x)=(\ln11x)=\dfrac{1}{11x}\cdot11=\dfrac{1}{x}

Used:

(\ln x)'=\dfrac{1}{x}\\\\f'(g(x))=f'(g(x))\cdot g'(x)

6 0
3 years ago
According to a survey of 100 people regarding their movie attendance in the last year, 40 had seen a science fiction movie, 55 h
AnnyKZ [126]

Answer:

Check attached picture ; 75 ; 40 ; 25%

Step-by-step explanation:

s = science fiction movie

H = horror movie

A = adventure movie

From the information given :

n(SnHnA) = 5

n(SnH) only = 15 - 5 = 10

n(SnA) only = 25 - 5 = 20

n(HnA) only = 5 - 5 = 0

n(S) only = 40 - (10+5+20) = 5

n(H) only = 20 - (10+5+0) = 5

n(A) only = 55 - (5 + 20 + 0) = 30

b.) Number of people who saw atleast one movie :

Sum of all numbers in the circles :

(5 + 20 + 5 + 10 + 5 + 30 + 0) = 75

c. How many people saw only one type of movie?

n(S) only + n(H) only + n(A) only

(5 + 5 + 30) = 40

d. What percentage of the people saw none of the three movie types?

Number of people who saw none of the movies:

100 - (Number of people who saw atleast one)

100 - 75 = 25

Hence, percentage who saw none :

(25/ 100) * 100%

(1/4) * 100%

= 25%

3 0
2 years ago
Susan and John are buying cold drinks for a neighborhood picnic. Each person is expected to drink one can of soda. Susan says th
zhannawk [14.2K]
John's method will find you the price of each individual can of soda.Susan's method will find you the total cost of the soda. total number of cost = the number of things x the cost of each thing 
8 0
3 years ago
Read 2 more answers
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
nevsk [136]

Answer:

you will dieeeeeeeeeeeeeeeeeeeee

6 0
2 years ago
Which graph represents the solution to the given system?<br> Y=-x+5<br> y= 1/4 x+10
jeka57 [31]

Answer:

See attachment

Step-by-step explanation:

The given system is :

y =  - x + 5

y =  \frac{1}{4}x + 10

Let us equate both equations and solve for x.

- x + 5 =  \frac{1}{4}x + 10

- 4x + 20 = x + 40

20 - 40 =x + 4x

- 20 = 5x

x =  - 4

y =  -  - 4 + 5 = 9

The the two lines of this system will meet at (-4,9)

The graph is shown in the attachment.

7 0
3 years ago
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