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drek231 [11]
3 years ago
10

I need help can you help me,,plz

Mathematics
2 answers:
lapo4ka [179]3 years ago
6 0
The answer would be 20 or 9
professor190 [17]3 years ago
4 0
I think it would be 9
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Consider the function f(x)= 2/5x-4
Gre4nikov [31]

Answer: a) \frac{5}{2}x+10=f^{-1}(x)=g(x)

Step-by-step explanation:

Since we have given that

f(x)=\frac{2}{5}x-4

a.) Find the inverse of f(x) and name it g(x).

Let f(x) = y

So, it becomes

y=\frac{2}{5}x-4

Switching x to y , we get

x=\frac{2}{5}y-4

5x=2y-20\\\\5x+20=2y\\\\\frac{5x+20}{2}=y\\\\\frac{5}{2}x+10=y\\\\\frac{5}{2}x+10=f^{-1}(x)=g(x)

b) . Use composition to show that f(x) and g(x) are inverses of each other.

\mathrm{For}\:f=\frac{2}{5}x-4\:\\\\\mathrm{substitute}\:x\:\mathrm{with}\:g\left(x\right)=\frac{5}{2}x+10\\\\=\frac{2}{5}\left(\frac{5}{2}x+10\right)-4\\\\=x

Similarly,

\mathrm{g\left(x\right)=\frac{5}{2}x+10,\:f\left(x\right)=\frac{2}{5}x-4,\:g\left(x\right)\circ \:f\left(x\right)}\\\\\mathrm{For}\:g=\frac{5}{2}x+10\:\mathrm{substitute}\:x\:\mathrm{with}\:f\left(x\right)=\frac{2}{5}x-4\\\\=\frac{5}{2}\left(\frac{2}{5}x-4\right)+10\\\\=x

so, both are inverses of each other.

c) Draw the graphs of f(x) and g(x) on the same coordinate plane.

As shown below in the graph , Since for inverse function we need an axis of symmetry i.e. y=x

And both f(x) and g(x) are symmetry to y=x.

∴ f(x) and g(x) are inverses of each other.


5 0
4 years ago
Find the area of a regular hexagon whose apothem is 1.7 cm and side length is 2 cm.. A. 20.4 cm2. B. 3.4 cm2. C. 6.8 cm2. D. 10.
Kipish [7]
A regular hexagon is composed of 6 regular triangles whose area is equal to half of the product of the apothem and side.
                        A - triangle = (1/2)(a)(s) = (1/2)(1.7 cm)(2 cm) = 1.7 cm²
Multiplying this area by 6 to get the area of the hexagon gives as the answer which is 10.2 cm². Therefore, the answer is letter D. 
5 0
3 years ago
Breaks down the problem and give the answer
Natalka [10]
13s=26
s=2
I think those are variables so that would be it.
5 0
4 years ago
Read 2 more answers
The number under the radical sign or square root sign is called the
GrogVix [38]

Answer:

Radicand

Step-by-step explanation:

The term (or number) whose square root is being considered is known as the radicand. The radicand is the number or expression underneath the radical sign, in this case 9.

6 0
3 years ago
Which of the sequence is an arithmetic ?
pychu [463]
A is an Arithmetic Sequence. The numbers in A are decreasing by a value of 7 every position, fulfilling the requirements to be an arithmetic sequence. None of the other answers fulfill those requirements.
7 0
3 years ago
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