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Ivahew [28]
3 years ago
13

Which best describes the function on the graph?

Mathematics
1 answer:
MrMuchimi3 years ago
5 0

The right answer is d. inverse variation; k=2


Inverse variation means that when increasing a variable the other decreases at the same rate or vice versa. So, we can write this statement as the following equation:


y=\frac{2}{x} \\ \\ where \ k=2


So, by plotting this equation, the result is shown in the Figure below. As you can see, this graph matches the graph above, so the conclusion is that the function has an inverse variation with k=2

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A fruit fly experiment starts with 600 flies. If the number of flies after x days is given by the function P(x)=600e^0.3x, how m
slega [8]
Since ln(x) is the inverse of e^x and we want to find out when P(x)=1000, we will substitute P(x) by 1000 and then solve for x days.

1600e^0.3x = 1000

Divide 600 for both sides you will get:

5/3 = e^0.3x

Multiply ( ln ) for both sides and then divide by 0.3.

(ln 5/3)/(0.3) = x

x = 1.7

So there will be 1000 flies in approximately 1.7 days
6 0
3 years ago
The quadrilateral ABCD has area of 58 in2 and diagonal AC = 14.5 in. Find the length of diagonal BD if AC ⊥ BD.
azamat

Answer:

(look in the the Step by step)

Step-by-step explanation:

When the diagonals of a quadrilateral are perpendicular, the area of that quadrilateral is half the product of their lengths.

.. A = (1/2)*d₁*d₂

Substituting the given information, this becomes

.. 58 in² = (1/2)*(14.5 in)*d₂

.. 2*58/14.5 in = d₂ = 8 in

The length of diagonal BD is 8 in.

4 0
2 years ago
8m^3 - 28m^2 + 6m - 21. You solve by factoring by grouping!!! quick please
Leya [2.2K]

Answer:

(2m - 7)(4 {m}^{2}  + 3)

Step-by-step explanation:

8m^3 - 28m^2 + 6m - 21 \\  = 4 {m}^{2} (2 {m}  - 7) + 3(2m - 7) \\  = (2m - 7)(4 {m}^{2}  + 3)

4 0
2 years ago
You mix soda water, fruit punch concentrate, and ginger ale in the ratio of 1 : 2 : 5 to make fruit punch. How many pints of eac
SIZIF [17.4K]
All you do is 1x+2x+5x=8x then you turn 4 s into pints. 1 gallon equals 4 pints 4*4=16 pints. 8x=16 x=2. Then you multiply everything by 2

1*2=2 
2*2=4
2*5=10

2pints of soda water
4 pints of fruit punch
10 pints of ginger ale
3 0
3 years ago
Please i need this to be done. The end of the marking period is Friday and i have until tomorrow to do some of this can anyone h
natita [175]
Good luck I answered on the other one
6 0
2 years ago
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