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Lilit [14]
3 years ago
13

Find the inverse function in slope-intercept form (mx+b): f(x)=-3/5x+6

Mathematics
1 answer:
ruslelena [56]3 years ago
6 0

Answer:

f^{-1}(x)=-\frac{5}{3} x+10

Step-by-step explanation:

Steps to find the inverse function:

1) replace f(x) with "y"

y=-\frac{3}{5} x+6

2) solve for x:

y-6=-\frac{3}{5} x\\x=-\frac{5}{3}(y-6)\\ x=\frac{5}{3} (6-y)\\x=-\frac{5}{3} y+10

3) replace "x" with f^{-1}(x), and y with x:

f^{-1}(x)=-\frac{5}{3} x+10

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Which of the following behaviors would best describe someone who is listening and paying attention? a) Leaning toward the speake
klio [65]

The answer is A and D

good luck

4 0
3 years ago
based on the census state A has 11 fewer electoral votes for president then state b. If the total number of electoral votes for
matrenka [14]
A + b = 87
a = b - 11

b - 11 + b = 87
2b - 11 = 87
2b = 87 + 11
2b = 98
b = 98/2
b = 49 <===

a = b - 11
a = 49 - 11
a = 38 <===
7 0
3 years ago
Can you help me with 4 through 6 plz
Crazy boy [7]
Example 4:

Let y = ax + b

Where, a = 4

Then,

y = 4x + b

As we have one point = (-2,3)

Replace in the equation:

3 = 4(-2) + b

3 = -8 + b

b = 3 +8

b = 11

So us stay:

y = 4x + 11
________________

Now let's to the 5 example:

Let y = ax + b

Where a = 3/2

Then,

y = 3x/2 + b

As the point is = (4, 7)

Then we will stay:

7 = 3(4)/2 + b

7 = 6 + b

b = 7 - 6

b = 1

Then we will stay:

y = 3x/2 + 1
______________


Now let's to the last example:

Let y = ax + b

Where , a = -4/3

Then we going to stay with:

y = -4x/3 + b

As the point is = (6 , -2)

Then,

-2 = -4(6)/3 + b

-2 = -8 + b

b = -2 + 8

b = 6

So follow:

y = -4x/3 + 6


I hope this helped!
6 0
3 years ago
Container A has 400 L of water,and is being filled at a rate of 8 liters per minute. Container B has 800 L of water,and is being
zepelin [54]

400+8x=800-6x.


Solving for x, you get 14x=400, and x is around 28.57


So it takes around 28.57 minutes for them to have the same amount of water.


3 0
3 years ago
(x+8)² expressed as a trinomial in standard form
Citrus2011 [14]

Answer:

x² + 16x + 64

Step-by-step explanation:

(a + b)² = a² + 2ab + b²

Here, a = x & b = 8

(x+8)² = x² + 2*x*8 +8²

         = x² + 16x + 64

3 0
3 years ago
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