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cestrela7 [59]
2 years ago
12

Which graph shows a function whose inverse is also a function?

Mathematics
1 answer:
never [62]2 years ago
5 0

Answer: A good way to determine if a line represents a valid function is to use the vertical line test.

To do this, you imagine a vertical (up and down) line moving across your graph from left to right. It should only be touching the line at one point at a time.

If it is touching more than one point on the line at a time, the line is not a valid function.

The first line and its inverse both pass the test.

The second line passes the test, but its inverse does not.

The third line also passes the test, but again, its inverse does not.

The same applies to the fourth line and its inverse.

Step-by-step explanation:

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Circular flower bed is 17 m in diameter and has a circular Samick around it is that to meters wide find the area of the sidewalk
NARA [144]

Answer:

26.69 square meters

Step-by-step explanation:

A=r(3.14)

A= 8.5(3.14)

A=26.69 meters

3 0
3 years ago
This banana is 8 inches long. How many 0.4 inches slices of banana can be cut from this banana?
stepan [7]

Answer:

20 slices


Step-by-step explanation:


3 0
3 years ago
Read 2 more answers
Find the six trigonometric function values for angle ∅ where its adjacent side is -9 and its hypotenuse is 41. (Theta is located
arsen [322]
Check the picture below.

\bf \textit{using the pythagorean theorem}
\\\\
c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b
\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}
\\\\\\
\sqrt{41^2-(-9)^2}=b\implies \sqrt{1681-81}=b\\\\\\ \sqrt{1600}=b\implies 40=b\\\\
-------------------------------

\bf sin(\theta )=\cfrac{\stackrel{opposite}{40}}{\stackrel{hypotenuse}{41}}\qquad~~  cos(\theta )=\cfrac{\stackrel{adjacent}{-9}}{\stackrel{hypotenuse}{41}}\qquad~~  tan(\theta )=\cfrac{\stackrel{opposite}{40}}{\stackrel{adjacent}{-9}}
\\\\\\
csc(\theta )=\cfrac{\stackrel{hypotenuse}{41}}{\stackrel{opposite}{40}}\qquad ~~sec(\theta )=\cfrac{\stackrel{hypotenuse}{41}}{\stackrel{adjacent}{-9}}\qquad ~~cot(\theta )=\cfrac{\stackrel{adjacent}{-9}}{\stackrel{opposite}{40}}

3 0
3 years ago
HELP ME ASAP!!!!!!!
olga nikolaevna [1]

Answer:

3hours and 30 minutes moving and 2 and a half hours stationary

Step-by-step explanation:

1 hour + 30 minutes + 1 hour + 30 minutes + 30 minutes for moving

1 hour + 1 hour + 30 minutes for stationary.

3 0
3 years ago
Jose bought 3 pens and 6 pencils for $6.60. Amy bought 5 pens and 8 pencils for $10.00. How much does one pencil cost?
xenn [34]

Answer:

pen = $1.20,  pencil = $0.50

Step-by-step explanation:

let x = pen

let y = pencil

create system of equations:

3x + 6y = 6.60        [can be simplified to be x + 2y = 2.20]

5x + 8y = 10.00

substitution method:

x = 2.2 - 2y

5(2.2 - 2y) + 8y = 10

11 - 10y + 8y = 10

-2y = -1

y = 1/2

solve for 'x':

3x + 6(1/2) = 6.6

3x + 3 = 6.6

3x = 3.6

x = 1.2

7 0
3 years ago
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