Mike needs to paint several rooms in his house. He knows that the larger the rooms are, the more paint he will need.

1 answer:

soldier1979 [14.2K]3 years ago

6 0

Yes, you are absolutely correct. It seems like Mike knows that paint and the size of the rooms are directly proportional i.e., the larger the size of the room, the more paint it requires. Mike is smart.

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3 years ago

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The equation of a line is given below. 6x -4y = 24. Find the x-intercept and the Y-intercept then use them to graph the line

ipn [44]

Answer:

x intercept is 4 and the y intercept is -6

Step-by-step explanation:

x-int:

6x=24

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y-int:

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3 years ago

Owen receives $10 and puts it into his savings account. He adds $0.50 to the account each day for a number of days, d, after tha

makkiz [27]

Answer:

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Step-by-step explanation:

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3 years ago

What is the inverse equation of the function, y = 3x - 6?

algol [13]

The best answer (and only correct answer) among the answer choices given is:
________________________________________________
[C]: y⁻¹ = (x+6) / 3 .
_________________________________________________
Explanation:
__________________________________________________
Given the original function: y = 3x - 6 ;
_________________________________________________
To find the "inverse equation" of said function; we change the "x" to a y"; and the "y" to an "x"; and rewrite:
_________________________________________________
x = 3y <span>− 6 ;

Now, rewrite in "slope-intercept form" ; or y = mx + b ;
that is, with y as "single, isolated" variable on the left-hand side of the equation (with an "implied coefficient of positive one", only); then an "equal sign, then "mx + b" ; in which: "m" is the coefficient of the variable, "x"; and in which "m" refers to the "slope"; and "b" refers to the 'y-intercept".
_____________________________________
So,we have the inverse function:
____ </span>_________________________________________________
x = 3y − 6 ; we want to write in slope-intercept form;
__________________________________________________
Add "6" to each side of the equation:
__________________________________
x + 6 = 3y − 6 + 6 ;
__________________________________
x + 6 = 3y ;
________________________
↔ Rewrite as: 3y = x + 6 ;
________________________________________
Divide EACH side of the equation by "3" ; to isolate "y" one side of the equation; specifically, the left-hand side of equation; and to write in "slope-intercept form:
______________________________
3y / 3 = (x + 6) / 3 ;
______________________________
to get:
______________________________
y = (x + 6) / 3 ;
_________________________________
y = (x/3) + (6/3) ;
____________________________________
y = (x/3 ) + 2 ;
___________________________________
or; write as: y = (1/3)x + 2 ;
________________________________________
Now, let us examine the answer choices given:
__________________________________________
Note that all the answer choices begin with "y-1" ;
(except "answer choice: [B]" , which begins with "x-1"). This seems confusing; however, in reality, this does not mean, "y minus 1"; or "x minus 1". Rather, it mean y⁻¹ or x⁻¹ as notation for the "inverse" (not to be confused with the exponent notation. The confusion stems from the fact that it can be difficult to make such notations on the "Brainly" system.
__________________________________________________
That being said, we can write the aforementioned "rewritten equations" (see above in THIS VERY ANSWER) as:
_____________________________________
y⁻¹ = (x + 6) / 3 ;
_________________________________
y⁻¹ = (x/3) + (6/3) ;
____________________________________
y⁻¹ = (x/3 ) + 2 ;
___________________________________
or; write as: y⁻¹ = (1/3)x + 2
___________________________________
That being said:
_________________________________________
The best answer (and only correct answer) among the answer choices given is: Answer choice: [C]: y⁻¹ = (x+6) / 3 .
____________________________________________________

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3 years ago

Katrina buys a 38-ft roll of fencing to make a rectangular play area for her dogs. Use 2(l+w)=38 to write a function for the

jenyasd209 [6]

Answer:

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Step-by-step explanation:

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