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shutvik [7]
3 years ago
14

2/3 - 6/7 - 3/10 equal?

Mathematics
2 answers:
Sedaia [141]3 years ago
8 0

-103/210

hope this helps

Lera25 [3.4K]3 years ago
4 0
2/3 - 6/7 - 3/10
140/210 - 180/210 - 63/210
(140 - 180 - 63)/210
-103/210
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1. determine if the functions are inverse functions
kirill115 [55]

Answer:

<u>Question 1</u>

The function f(x) = x + 6 is one-to-one, so it does have an inverse.

The inverse of +6 is -6, so f^{-1}(x)=x-6

Therefore, g(x) is the inverse of f(x).

<u>Question 2</u>

The function f(x) = -3x -9 is one-to-one, so it does have an inverse.

To find the inverse, replace f(x) with y:

\implies y = -3x -9

Rearrange the equation to make x the subject:

\implies y+9= -3x

\implies x=-\dfrac13(y+9)

\implies x=-\dfrac13y-3

Replace x with f^{-1}(x) and y with x:

\implies f^{-1}(x)=-\dfrac13x-3

Therefore, g(x) is the inverse of f(x).

5 0
2 years ago
A car starts with a dull tank of gas. After driving around 5he city, 1/7 of the gas has been used. With the rest of the gas in t
Sati [7]

Answer:

\frac{2}{7}

Step-by-step explanation:

Given:

A car starts with a dull tank of gas

1/7 of the gas has been used around the city.

With the rest of the gas in the car, the car can travel to and from Ottawa three times.

Question asked:

What fractions of a tank of gas does each complete trip to Ottawa use?

Solution:

Fuel used around the city = \frac{1}{7}

Remaining fuel after driving around the city = 1 - \frac{1}{7}

                                                                         =    \frac{7 - 1}{7}  = \frac{6}{7}

According to question:

As from the rest of the gas in the car that is \frac{6}{7}, the car can complete 3 trip to Ottawa  which means,

By unitary method:

The car can complete 3 trip by using = \frac{6}{7} tank of gas.

The car can complete 1 trip by using =  \frac{6}{7} \div 3

                                                             =\frac{6}{7} \times\frac{1}{3}

                                                             =  \frac{6}{21}

                                                             = \frac{2}{7} tank of gas

Thus, \frac{2}{7} tank of gas used for each complete trip to Ottawa.

5 0
3 years ago
What are the solutions to the equation |x| =15 -4x?
zheka24 [161]
I hope this helps you

5 0
3 years ago
Please help this is important<br> -1.5x+12=2.5x-12
Anna35 [415]

Answer:

x = 6

Step-by-step explanation:

move all terms to the left:

-1.5x+12-(2.5x-12)=0

get rid of parentheses

-1.5x-2.5x+12+12=0

add all the numbers together, and all the variable.

-4x+24=0

move all terms containing x to the left, all other terms to the right

-4x=-24

x=-24/-4 - divide

x=+6

7 0
3 years ago
If the actor is to the audience’s right the actor is _______.
kati45 [8]
I think the answer is stage left because if you flip your view point, you'll get stage left. 
Hopefully that helped! :) 
7 0
3 years ago
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