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SCORPION-xisa [38]
2 years ago
9

For 25 points

Mathematics
1 answer:
tigry1 [53]2 years ago
6 0

The required domain of the inverse function is x ≤ 0. Hence option D is correct.

f(x) = -x^2

<h3>What are functions?</h3>

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is independent variable while Y is dependent variable.

Inverse of function f(x) = -x^2
y = -x^2
x = √-y
Now,
Inverse function of f(x) is √-x
Its domain is define as less than or equal to zero.

Thus, the required domain of the inverse function is x ≤ 0.

 

Learn more about function here:

brainly.com/question/21145944

#SPJ1

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What are the x-coordinates of the solutions to this system of equations? x2 + y2 = 100 y = x + 2
kiruha [24]

Answer:

x = - 8, x = 6

Step-by-step explanation:

Given the 2 equations

x² + y² = 100 → (1)

y = x + 2 → (2)

Substitute y = x + 2 into (1)

x² + (x + 2)² = 100

x² + x² + 4x + 4 = 100

2x² + 4x + 4 = 100 ( subtract 100 from both sides )

2x² + 4x - 96 = 0 ( divide through by 2 )

x² + 2x - 48 = 0 ← in standard form

(x + 8)(x - 6) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 8 = 0 ⇒ x = - 8

x - 6 = 0 ⇒ x = 6

6 0
3 years ago
A right triangle has one side that measures 4in. The angle opposite that side measures 80 degrees. What is the length of the hyp
Crazy boy [7]

Hello from MrBillDoesMath!

Answer:

4/sin(80)

which is approximately 4.06



Discussion:

From the triangle, not drawn too accurately  (see attachment)


sin(80) = side opposite /hypotenuse   =>

sin (80) =  4/c            =>       multiply both sides by "c"

c sin(80) = 4/c * c      =>      

c sin(80) = 4               =>      divide both sides by sin(80)

c = 4/sin(80)

and 4/sin(80) is approximately 4.06


Thank you,

MrB

6 0
3 years ago
Carrie did sit-ups every for 5 days. The number of sit-ups she did on each day is shown on the table.
Nataly [62]

Answer:

32

Step-by-step explanation:

I mutiplied 2 to the 5th power and it equals 32

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Please helpppp meee I will give you brainlist
Mila [183]

Answer:

You did not attach any files. please make sure to attach files when you have questions like this. Have a good day.

Step-by-step explanation:

<em>The world is filled with nice people. If you can't find one, be one.</em>

<em>-mhanifasbiggestfan</em>

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Look at the pic help
Ivenika [448]

Answer:-68 i think

Step-by-step explanation:

3 0
2 years ago
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