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EastWind [94]
3 years ago
7

Which function below is the inverse of f(x) = x2 − 16?

Mathematics
1 answer:
slega [8]3 years ago
4 0
f(x) = x^{2} - 16
y = x^{2} - 16
x = y^{2} - 16
x + 16 = y^{2}
\±\sqrt{x + 16} = \sqrt{y^{2}}
\±\sqrt{x + 16} = y
\±\sqrt{x + 16} = f^{-1}(x)
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Os
algol [13]

Answer:

\boxed{\sf{4}}}

Step-by-step explanation:

Use a slope form.

<u>Slope:</u>

\sf{\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{rise}{run}  }

y₂ = (17)

y₁ = (1)

x₂ = (2)

x₁ = (-2)

Then, rewrite the problem.

Solve.

\sf{\dfrac{17-1}{2-(-2)}=\dfrac{16}{4}=\dfrac{16\div4}{4\div4}=\dfrac{4}{1}=\boxed{\sf{4}    }

Therefore, the slope is 4, which is our answer.

I hope this helps you! Let me know if my answer is wrong or not.

5 0
2 years ago
6 pounds of potatoes cost $11.34. What is the unit price?
AveGali [126]
Your answer would be $1.89

You take 11.34 and divide it by 6. After that you’ll be 1.89 as your unit price.

1.89 is how much for 1 pound
8 0
3 years ago
A car rental costs $32 as a base fee, plus $28 per day. Use the explicit rule f (n )= 28n + 32
alexdok [17]

Answer:

The charges paid for the first four days are:

  • <u>$144</u>.

Step-by-step explanation:

To obtain the charges paid for the first 4 days, you must use the given explicit rule given:

  • f (n) = 28n + 32

Where:

  • <em>n = Number of days the person rents the car.</em>

As we need to obtain the charges to 4 days, we replace this value in the explicit rule:

  • f (n) = 28n + 32
  • f (4) = 28(4) + 32
  • f (4) = 112 + 32
  • <u>f (4) = 144</u>

With these calculations, <u>you can identify the charges paid for the first 4 days are $144</u>, <em>where $112 is the money by each day of the four days and $32 is the base fee</em>.

3 0
3 years ago
there are 20 students in the group , 15 from them are athletes. it is taken for competition 10 students. find the probability th
NeX [460]

Answer:

500

Step-by-step explanation:

50 divided by 10 is 9

5 0
3 years ago
Read 2 more answers
Identify the slope and y-intercept of the line with the given equation.
jeka57 [31]
5. Slope = 3, Y-Intercept=4
6. Slope = -2, Y-Intercept=8
6 0
3 years ago
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