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atroni [7]
3 years ago
12

Find the inverse of function f. f(x) = 1 /2x+7

Mathematics
1 answer:
ivanzaharov [21]3 years ago
5 0

Answer:

f^-1/2(x)=x/1/2-7/2

Step-by-step explanation:

Replace f(x) with y

Y=1/2x+7

Interchange the variable

X=1/2y+7

Solve For y

Rewrite the equation as

1/2y+7=x

Add -7 to both side

1/2y+7-7=x-7

1/2y=x-7

Divide each term with 1/2

1/2y/1/2=x/1/2-7/1/2

Y=x/1/2-7/2

Solve for hand replace with f^-1/2(x)

f^-1/2(x)=x/1/2-7/2

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In the right triangle shown, m∠K =60, and KL=2<br><br> How long is JL?
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According to the Complex Conjugate Root Theorem, if a+bi is a root of a quadratic equation, then __blank__ is also a root of the
Trava [24]

Answer:

a-bi


Step-by-step explanation:

If a quadratic equation lx^2+mx+n=0 has one imaginary root as a+bi then the other root is the conjugate of a+bi = a-bi

Because we have l, m and n are real numbers and they are the coefficients.

Sum of roots = a+bi + second root = -m/l

When -m/l is real because the ratio of two real numbers, left side also has to be real.

Since bi is one imaginary term already there other root should have -bi in it so that the sum becomes real.

i.e. other root will be of the form c-bi for some real c.

Now product of roots = (a+bi)(c-bi) = n/l

Since right side is real, left side also must be real.

i.e.imaginary part =0

bi(a-c) =0

Or a =c

i.e. other root c-bi = a-bi

Hence proved.


3 0
3 years ago
The movie theatre has 250 seats. 225 seats were sold for the current showing . What percent of the seats are empty?
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250-225=25 seats empty. Place what you want/total=(25/250)x100=0.1x100=10% of the seats are empty.
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Sharon is conducting research on two species of birds at a bird sanctuary. The number of birds of species A is represented by th
e-lub [12.9K]

Answer: After 7 years the number of birds of species A and B are same. and the number of birds during that year will be 140.


Step-by-step explanation:

Given: Sharon is conducting research on two species of birds at a bird sanctuary.

The number of birds of species A is represented by the equation below,where S represents the number of birds, x years after beginning her research.

S=2^x+12

The number of birds of species B is represented by the equation below,where S represents the number of birds, x years after beginning her research.

S=15x+35

To plot the above function, first find points by which they are passing.

For species A, At x=0 , S=1+12=13

At x=2 , S=2+12=14

Similarly find more points and plot curve on graph.

For species A, At x=0 , S=0+35=35

At x=2 , S=15+35=50

Plot a line with the help of these two points.

Now, from the graph the intersection of curve (for A) and line (for B) is at (7,140) which tells that After 7 years the number of birds of species A and B are same. and the number of birds during that year will be 140.



8 0
2 years ago
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