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lesantik [10]
3 years ago
15

What is the inverse of the function below?

Mathematics
2 answers:
seraphim [82]3 years ago
6 0

Answer:

Option B is the correct answer.

Step-by-step explanation:

\texttt{We have }f(x)=y=\frac{2x+12}{5}

Finding inverse,

          y=\frac{2x+12}{5}\\\\5y=2x+12\\\\2x=5y-12\\\\x=\frac{5y-12}{2}\\\\f^{-1}(x)=\frac{5x-12}{2}=\frac{5}{2}x-6

Option B is the correct answer.          

Art [367]3 years ago
4 0
I hope this helps you

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In a school, enrollment this year had a deficit of 6% compared to last year. If 658 students have enrolled this year, how many s
hammer [34]

Answer:

695 Students

Step-by-step explanation:

This is because 6% of 658 is 39. 39 Students + 658 Students is 695 students.

4 0
3 years ago
Write the coordinates of the vertices after a reflection over the y-axis.
MaRussiya [10]

Answer:

J' : (8, 1)

K' : (5, 1)

L' : (3, 6)

M' : (0, 6)

Step-by-step explanation:

the rule for reflection over the y-axis is (x, y) → (-x, y)

therefore:

J' : (8, 1)

K' : (5, 1)

L' : (3, 6)

M' : (0, 6)

6 0
2 years ago
Read 2 more answers
Need Help Please!!!!
denis-greek [22]

Answer:

4ab and 3ab

Step-by-step explanation:

4<em>ab</em> and 3<em>ab</em> because they have the same variables <em>a</em> and <em>b</em>

4 0
3 years ago
Find a function f such that f '(x) = 5x3 and the line 40x + y = 0 is tangent to the graph of f.
Alex17521 [72]

The function that is a  tangent to the graph of f is f(x) = (5/4)x^4+60

<h3>What is the concept of integral?</h3>

The definite integral can be interpreted as the resulting area of a region. In addition, it is a value in its result, that is, it does not depend on the variable x, which can be exchanged for any other variable without changing the value of the integral.

Knowing that :

  • 40x + y = 0 is tangent of f(x)
  • slope of the line = -40

therefore, f'(x)|x=a = -40, so only look for a we have:

5a^3 = -40\\a^3 = -8\\a = -2

if, x = -2, then y = 80 (since, 40x + y = 0), therefore, f(x) passes through (-2,80), so in the equation:

f'(x) = 5x^3\\f(x) = (5/4)x^4 + c\\80 = (5/4)(-2)^4 + c\\c = 60

Therefore,

f(x) = (5/4)x^4+60

See more about tangent at brainly.com/question/401236

#SPJ1

4 0
2 years ago
10. Which representation of a transformation on a coordinate grid does not preserve orientation? A. (x, y) → (4x, 4y) A. , , , ,
marta [7]

Answer:

D. (x, y) → (x, −y)

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

The orientation shows how an object is arranged. Rotation, translation and dilation preserves orientation while reflection does not preserve orientation.

The transformation (x, y) → (4x, 4y) shows the dilation by a scale factor of 4. Dilation preserve orientation.

The transformation (x, y) → (−y, x) shows the rotation of a point 90 degrees counterclockwise. Rotation preserve orientation.

The transformation (x, y) → (14x, 14y) shows the dilation by a scale factor of 14. Dilation preserve orientation.

The transformation (x, y) → (x, −y) shows a reflection over the x axis. Reflection does not preserve orientation.

5 0
3 years ago
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