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Strike441 [17]
2 years ago
13

We can calculate E, the amount of euros that has the same value as D.S. dollars, using the equation E= 17/20 D.

Mathematics
1 answer:
GalinKa [24]2 years ago
3 0

Answer:

0.85

1.176

Step-by-step explanation:

E = 17/20 D

Let D = 1,

E = 17/20 × 1

E = 17/20 = 0.85

1 dollar = 0.85 Euro

E = 17/20 D

17/20 D = E

D = 20/17 E

Let E = 1,

D = 20/17 × 1

D = 1.176

1 Euro = 1.176 dollar

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[Will mark as brainliest]
Aleks04 [339]

The answer is: f^{-1} = 4x^2-3,\quad\text{for  } x \leq 0

The inverse of a function f(x) is another function, f^{-1}(x), with the following property:

f(f^{-1}(x)) = f^{-1}(f(x)) = x

In other words, the inverse of a function does exactly "the opposite" of what the original function does, and so if you compute them both in sequence you return to the starting point.

Think for example to a function that doubles the input, f(x)=2x, and one that halves it: f(x)= \frac{x}{2}. Their composition is clearly the identity function f(x)=x, since you consider "twice the half of something", or "half the double of something".

In general, to invert a function y=f(x), you have to solve the expression for x, writing an expression like x = g(y). If you manage to do so, then g is the inverse of f.

In your case, you have

f(x) = y = -\frac{1}{2}\sqrt{x+3}

Multiply both sides by -2 to get

-2y = \sqrt{x+3}

Square both sides to get

4y^2 = x+3

Finally, subtract 3 from both sides to get

x = 4y^2 - 3

Since the name of the variables doesn't really have a meaning, you can say that the inverse function is

f^{-1}(x) = 4x^2 - 3

As for the domain of the inverse function, remember what we said ad the beginning: if the original function goes from set A (domain) to set B (codomain), then the inverse function goes from set B (domain) to set A (codomain). This means that the inverse function is defined on an element in B if and only if that element belongs to the range of the original function, i.e. the set of the elements of the codomain b \in B such that there exists a \in A : f(a)=b. So, we need the range of f(x).

We know that the range of g(x)=\sqrt{x} is [0,\infty). When you transform it to g(x)=\sqrt{x+3} you simply translate the graph horizontally, so the range doesn't change. But when you multiply the function times -\frac{1}{2} you affect both extrema of the range, turning it into (-\infty,0], which you can simply write as x \leq 0

4 0
2 years ago
Given the equation y = 0.2 x 4^x , find x when y = 1000
Gnoma [55]

Answer:

i guess x = 0 lololololololollol

6 0
3 years ago
Let R={0, 1, 2, 3} be the range of h(x) = x - 7. The domain of h inverse is_____.
Alecsey [184]

Answer:

{-7,-6,-5,-4}

Step-by-step explanation:

5 0
3 years ago
F(x) = x2 + 9, g(x) = *square root of* x + 8, <br><br> find g(f(x))
ICE Princess25 [194]

Answer:

  g(f(x)) = √(x^2 +17)

Step-by-step explanation:

For ...

  f(x) = x^2 +9

  g(x) = √(x +8)

The definition of g(f(x)) is ...

  g(f(x)) = g(x^2 +9) = √((x^2 +9) +8)

  g(f(x)) = √(x^2 +17)

6 0
3 years ago
Solar Impulse 2 is covered in 269.5 square meters of solar cells. Each cell is 150 square centimeters. How many solar cells are
Alik [6]
Area covered by the solar cells = 269.5 m^2

Area of one cell = 150 cm^2

Convert the area of one cell to m^2 by using the conversion factor 1m^2 = (100cm)^2 => 1 = 1m^2 / 1000 cm^2

=> 150 cm^2 * [1m^2 / 1000 cm^2] = 0.150 m^2

Now finf the number of times that 0.150 is contained in 269.5 by dividing 269.5 by 0.150

269.5 = 0.150 = 1,796.67

Which means that the number of cells is betwee 1796 and 1797.
5 0
3 years ago
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