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marishachu [46]

2 years ago

8

Can someone help me turn this into an inverse function? f(x) = 6-3x. and some explanations pls, bcuz Im still lost on this topic

.

2 answers:

Minchanka [31]2 years ago

8 0

Answer:

-1/3(x-6)

Step-by-step explanation:

Let y = 6-3x

Exchange x and y

x = 6-3y

Solve for y

Subtract 6 from each side

x-6 = 6-6 -3y

x-6 = -3y

Divide each side by -3

(x-6)/-3 = -3y/-3

-1/3 (x-6) = y

This is the inverse

-1/3(x-6)

sweet [91]2 years ago

6 0

Answer:

$y=-\frac{x-6}{3}$

Step-by-step explanation:

To find the inverse function, switch the y and x

$y=6-3x$ becomes $x=6-3y$ .

Now, rearrange so that the equation is equal to y.

$x=6-3y\\x-6=-3y\\-\frac{x-6}{3} =y$

Hope this helps!

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The owner of a new pet store wishes to display tropical fish in display tanks. The above table shows the species that cannot liv

Pepsi [2]

Answer:

The minimum number of different tanks needed to safely house all the fish is:

<u>3 tanks</u>.

Step-by-step explanation:

To identify the minimum number of different tanks, we're gonna concentrate in a fish species, in this case can be the A: as you see in the table, the A species can live with all the fish excepting the F and G, by their side, the F and G can't live together , by this reason, this three species must live in a different tank, in the next form:

Tank 1: <em>A</em>
Tank 2: <em>F</em>
Tank 3: <em>G</em>

Now the B species, it can live with A, F and G, but for this example we can put in the tank 1 (the tank of the A species). The C especies can live with A, F and G, but how we have A and B together, we're gonna put the C especies in the tank 3 (the tank of the G especies). The D species can live with A and G, we're gonna put in the tank 1 because can live with B species too. The E species can live with A and F, we're gonna put in the tank 2 (the tank of the F species) because the E species can't live with D that is in the in the tank 1. Al last, the H species just can live with A, E, F, and H species, by this reason, the only tank that can be put is the tank 2. In this form, the order is the next:

Tank 1: <em>A, B, D</em>.
Tank 2: <em>F, E, H</em>.
Tank 3: <em>G, C</em>.

And t<u>he owner of the pet store must buy three different tanks to display these tropical fish</u>.

5 0

3 years ago

Find the equations of the line u that cuts the x-axis at x=-6 and the y-axis at y=-4

never [62]

The equation of the line is y = -2/3(x) - 4

5 0

2 years ago

Find the tangent of angle A (giving brainliest and thanks to all!)

Shtirlitz [24]

Answer:

Option B, 8 / 6

Step-by-step explanation:

Tangent = Opposite / Adjacent

Tangent of ∠A = Opposite / Adjacent

Tan(A) = 8 / 6 which is the same as Option B

Hope this helps!

3 0

3 years ago

Amanda is reading a book that has 125 pages. she has read 12 pages a day for 4 days in a row. how many more pages does amanda ha

FinnZ [79.3K]

Total pages=125
Pages read in 1 day=12
Pages read in 4 days=4×12=48
Left pages to read=125-48=77 pages

7 0

2 years ago

Sam the Hummingbird flies at a rate of 2 yards per minute, as modeled by the equation y = 2x. She

daser333 [38]

Answer:

See attachment for plot

Step-by-step explanation:

Given

$y =2x$

$R =+2$ --- increment in the rate

First, we need to model the new rate

A linear equation is:

$y = mx + b$

Where

$m = rate$

Compare $y =2x$ and $y = mx + b$ . we have:

$m =2$

The above represents the previous rate.

The new rate:

$R =+2$

Rewrite as:

$R = m+2$

$R = 2+2$

$R = 4$

So, the model is:

$y = Rx$

$y = 4x$

<u>The plot at 1 and 2 minutes</u>

When $x = 1$

$y = 4x = 4 * 1 = 4$

When $x = 2$

$y = 4x = 4 * 2 = 8$

So, we have:

$(x_1,y_1) =(1,4)$

$(x_2,y_2) =(2,8)$

<em>Whether she moves backwards or forward, the distance covered remains the same</em>

<em>See attachment for plot</em>

5 0

2 years ago