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mr_godi [17]
2 years ago
8

Show that the function of f(x) = a - x is its own inverse for all real numbers a

Mathematics
1 answer:
tatuchka [14]2 years ago
5 0

f(x) = a - x

y = a - x

y + x = a - x + x

y + x = a

y + x - y = a - y

x = a - y

f-¹(x) = a - x

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What is the equation in point-slope form of a line that passes through the points (−4, −1) and (5, 7) ?
Sergio039 [100]

The point-slope form:

y-y_1=m(x-x_1)

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (-4, -1) and (5, 7). Substitute:

m=\dfrac{7-(-1)}{5-(-4)}=\dfrac{7+1}{5+4}=\dfrac{8}{9}\\\\\boxed{y-7=\dfrac{8}{9}(x-5)}


6 0
2 years ago
The area of a rectangle is 228 sq feet if the length of rectangle is 12 feet what would be the width of the rectangle
zysi [14]
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8 0
3 years ago
Hi can someone help me with this
Ad libitum [116K]

Answer:

25 units

Step-by-step explanation:

Applying Pythagoras' Theorem,

(BD)^2= (CD)^2 + (BC)^2

(BC)^2= 65^2 - 60^2

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5 0
3 years ago
Gary learned that the value of his car depreciates by 15% percent per year. Which of the following functions best describes the
Sever21 [200]
For this case we have that the original value of the car is:
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5 0
2 years ago
What is the median of this data set?
bazaltina [42]

Answer:

14

Step-by-step explanation:

Because the median is the middle number when the data set is in order least to greatest so you already have it in least to greatest so thank you for helping me.

and for extra just in case.

Mean=16.222

the mean= the average of the data set

Mode is 13,14

The mode is the number that appears the most in a data set and 13 and 14 appear twice.

Your range is=13

Range is the highest number subtracting the lowest number so 24 -11 which =13

Minimum is 11 because the minimum is the lowest number in data set..

Maximum is 24

Maximum is the highest number in the data set.


I hope this helps have a awesome day:)

7 0
2 years ago
Read 2 more answers
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