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kap26 [50]
4 years ago
14

What function is the inverse of y=-3x+6/7

Mathematics
1 answer:
Kisachek [45]4 years ago
4 0
Y = -3x + 6/7
switch the x and y, then solve for y:
y =  -3x  +  \frac{6}{7}  \\ x =  - 3y +  \frac{6}{7}  \\ 3y =  - x + \frac{6}{7} \:
3y  \div  3 =  (- x + \frac{6}{7}) \div 3  \\  y =  - x \div 3 \:  +  \frac{2}{7}
y = -x/3 + 2/7
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A certain forest covers an area of 4000 km2. Suppose that each year this area decreases by 7%. What will the area be after 5 yea
Levart [38]
Answer:

2,600

Explanation:

Your first step is to find 7% of 4000 ( this is what it is decreasing by per year).
As a result you end up with 280.
Multiply 280 by 5.
1,400 should be your answer( amount of km decreasing after 5 years). This is a decreasing forest, so you subtract 4,000by 1,400.
8 0
4 years ago
If the graph is that of f(x), name a point that lies on f^-1 (x).
Lapatulllka [165]
The answer is (-1,0)
HOPE THIS HELP
4 0
3 years ago
F(x) =
sertanlavr [38]

To make things easier, first rewrite

<em>f(x)</em> = <em>x</em> / (<em>x</em> + 7/<em>x</em>) = <em>x</em> ² / (<em>x</em> ² + 7)

i.e. multiply <em>f</em> by <em>x</em>/<em>x</em>, which is valid because <em>x</em> can't be 0 anyway as it's outside the domain of <em>f</em>.

Now, by the quotient and chain rules, we get

<em />

<em>f '(x)</em> = ((<em>x</em> ² + 7) (<em>x</em> ²)' - <em>x</em> ² (<em>x</em> ² + 7)') / (<em>x</em> ² + 7)²

… = (2<em>x</em> (<em>x</em> ² + 7) - <em>x</em> ² (2<em>x</em>)) / (<em>x</em> ² + 7)²

… = (2<em>x</em> ³ + 14<em>x</em> - 2<em>x </em>³) / (<em>x</em> ² + 7)²

… = 14<em>x</em> / (<em>x</em> ² + 7)²

<em>f ''(x)</em> = ((<em>x</em> ² + 7)² (14<em>x</em>)' - (14<em>x</em>) ((<em>x</em> ² + 7)²)') / ((<em>x</em> ² + 7)²)²

… = (14 (<em>x</em> ² + 7)² - (14<em>x</em>) (2 (<em>x</em> ² + 7)² (<em>x</em> ² + 7)')) / (<em>x</em> ² + 7)⁴

… = (14 (<em>x</em> ² + 7)² - (14<em>x</em>) (2 (2<em>x</em>) (<em>x</em> ² + 7)²)) / (<em>x</em> ² + 7)⁴

… = (14 (<em>x</em> ² + 7)² - 4<em>x</em> (14<em>x</em>) (<em>x</em> ² + 7)²) / (<em>x</em> ² + 7)⁴

… = 14 (<em>x</em> ² + 7)² (1 - 4<em>x</em>) / (<em>x</em> ² + 7)⁴

… = 14 (1 - 4<em>x</em>) / (<em>x</em> ² + 7)²

… = (14 - 56<em>x</em>) / (<em>x</em> ² + 7)²

6 0
3 years ago
Write five ordered pairs to represent a relation that is not a function
Nat2105 [25]

Answer:

(1, 1), (1, 2), (1, 3), (1, 4), (1, 5)

Step-by-step explanation:

As long as the same x-coordinate appears more than once, the is not a function.

(1, 1), (1, 2), (1, 3), (1, 4), (1, 5)

5 0
4 years ago
Find x.<br> Do not round your answer.<br> 8 cm<br> 4 cm<br> X =<br> - [?<br> [?] ci<br> cm
slavikrds [6]

Answer:

4 cm is a answer of that question

4 0
3 years ago
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