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lesya692 [45]
2 years ago
8

What equation is the inverse of y=x^2+16

Mathematics
2 answers:
Darina [25.2K]2 years ago
7 0

Answer:

f^-1 (x) = ±sqrt(x-16)

Step-by-step explanation:

To find the inverse of a function, exchange x and y and solve for y

y=x^2+16

Exchange x and y

x = y^2 +16

Then solve for y

Subtract 16 from each side

x-16 = y^2 +16-16

x-16 = y^2

Take the square root of each side

±sqrt(x-16) = sqrt(y^2)

±sqrt(x-16) = y

The inverse

f^-1 (x) = ±sqrt(x-16)

emmainna [20.7K]2 years ago
5 0

Answer:

y =  \sqrt{x - 16}

Step-by-step explanation:

y =  {x}^{2}  + 16

x =  {y}^{2}  + 16

x - 16 =  {y}^{2}

\sqrt{x - 16}  = y

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You add 11/4 tablespoons of olive oil for every 3/2 tablespoons of balsamic vinegar to make 34 tablespoons of bread dip. How muc
Dafna11 [192]

Hey there!

Let's write this as a ratio/proportion.

\frac{olive oil}{balsamic vinegar} = \frac{2.75}{1.5}

The sum of this basic ratio is 4.25.

To figure out how much of each we have for 34, we divide this 34 by 4.25, our sum of the two ingredients. This will give us a factor we can multiply our two ingredient measurements by.

34/4.25=8

Now, we multiply our two ingredients by eight.

2.75(8)=22

1.5(8)=12

Note that these two add up to make 34 tablespoons.

Therefore, we have...

22 tablespoons of olive oil and 12 tablespoons of balsamic vinegar were used in the 34 tablespoons of bread dip.

I hope this helps! Have a great day! :)

8 0
2 years ago
A scale model of rectangle patio is 6 feet 3 feet wide the actual patio is 15 feet long what is the area of the actual patio
Anuta_ua [19.1K]
The answer is 6 divide 145 into 9 you"ll get the length
7 0
2 years ago
*Please Help* (Guaranteed brainliest for correct answer!)
FinnZ [79.3K]
Lets say that Williams current age is x, since it is currently unknown
From here we know that in 15 years (x+15) he will be 3 times his age 5 years prior (3x-5). Thus we can set these equations up as equal to one another
1) x + 15 = 3(x - 5)
2) x + 15 = 3x-15
3) 30= 2x
4) 15 = x
5) Now this age is his current age of 15 years, but they also want his age 15 years from now
The equation is x + 15 = 3(x - 5)

This should be correct now, sorry for the misconception. Good luck
 
3 0
2 years ago
Read 2 more answers
Fill in missing information to make the equality true: <br> (... +2a)2 = … +12ab2+4a2.
BigorU [14]

Answer:

I suppose it should be

6b² and (6b²)²

or

6b² and 36b^{4}

Step-by-step explanation:

(a+b)² = a² + 2ab + b²

therefore

(6b²+2a)² = (6b²)² + 12ab² + 4a²

3 0
2 years ago
Read 2 more answers
Of the bundles delivered daily to the store, 1/3
Triss [41]

Answer:

x=9

Step-by-step explanation:

Let total bundle=x

Morning edition of the daily sun=1/3x

=x/3

Afternoon edition of the daily sun=2

That leaves 2x/3 - 2, of which

x/3 - 1 are regional

1 is local

1 from another state

Sum everything

x = x/3 + 2 + x/3 - 1 + 1 + 1

x=2x/3 +3

x-2x/3=3

3x-2x/3=3

x/3=3

Cross product

x=3×3

x = 9

3 0
2 years ago
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