answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sesenic [268]
1 year ago
13

Which equation is the inverse of y=x2 + 16?

Mathematics
2 answers:
kari74 [83]1 year ago
6 0

Answer:

y-16=x^2

Step-by-step explanation:

VLD [36.1K]1 year ago
6 0

Answer:

f^{-1}(x)=\pm\sqrt{x-16}

Step-by-step explanation:

The given equation is y=x^2+16

Interchange the positions of x and y

x=y^2+16

Now, solve this equation for y. That would be the inverse of this function.

Subtract 16 to both sides of the equation

x-16=y^2

Take square root both sides

y=\pm\sqrt{x-16}

This is the inverse of the given function.

f^{-1}(x)=\pm\sqrt{x-16}

You might be interested in
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is
Arada [10]

Answer:

The test contains 10 three-point questions and 14 five-point questions.

Step-by-step explanation:

The value of x is the number of 3-point questions, and the value of y is the number of 5-point questions, as the problem statement tells you. So, the solution (x, y) = (10, 14) indicates ...

"The test contains 10 three-point questions and 14 five-point questions."

_____

You can try the offered answers to see which might apply. The last choice has too many questions. The first and third choices don't add up to 100 points.

7 0
2 years ago
Read 2 more answers
Jing spent 1/3 of her money on a pack of pens, 1/2 of her money on a pack of markers, and 1/8 of her money on a pack of pencils.
Reika [66]

As per the problem

Jing spent \frac{1}{3} of her money on a pack of pens.

\frac{1}{2} of her money on a pack of markers.

and \frac{1}{8} of her money on a pack of pencils.

Total fraction of money spent cab be given as below

Fraction of Money Spent =\frac{1}{3} +\frac{1}{2}+\frac{1}{8}

Take the LCD of denominator, we get LCD of (3,2,8)=24

Fraction of Money Spent =\frac{8+12+3}{24} =\frac{23}{24} \\\\

\\ \text{Hence fraction of Money Spent }=\frac{23}{24} \\ \\ \text{Fraction of Money left}=1-\frac{23}{24} \\ \\ \text{Simplify, we get}\\ \\ \text{Fraction of Money left}=\frac{24-23}{24} \\  \\ \text{Fraction of Money left}=\frac{1}{24}

3 0
2 years ago
Read 2 more answers
A student repeatedly measures the mass of an object using a mechanical balance and gets the following values: 560 g, 562 g, 556
MrRissso [65]

Answer: 2.76 g

Step-by-step explanation:

The formula to find the standard deviation:-

\sigma=\sqrt{\dfrac{\sum(x_i-\overline{x})^2}{n}}

The given data values : 560 g, 562 g, 556 g, 558 g, 560 g, 556 g, 559 g, 561 g, 565 g, 563 g.

Then,  \overline{x}=\dfrac{\sum_{i=1}^{10} x_i}{n}\\\\\Rightarrow\ \overline{x}=\dfrac{560+562+556+558+560+556+559+561+565+563}{10}\\\\\Rightarrow\ \overline{x}=\dfrac{5600}{10}=560

Now, \sum_{i=1}^{10}(x_i-\overline{x})^2=0^2+2^2+(-4)^2+(-2)^2+0^2+(-4)^2+(-1)^2+1^2+5^2+3^2\\\\\Rightarrow\ \sum_{i=1}^{10}(x_i-\overline{x})^2=76

Then, \sigma=\sqrt{\dfrac{76}{10}}=\sqrt{7.6}=2.76

Hence, the  standard deviation of his measurements = 2.76 g

6 0
2 years ago
The cafe where you work just ran out of coffee, and you are at the store to buy 112 pounds of coffee. You have put a can with 34
ycow [4]

Answer:

78

Step-by-step explanation:

The total you are buying is 112 pounds.  The can you have picked up is 34 pounds; this leaves

112-34 = 78 pounds remaining.

7 0
1 year ago
Read 2 more answers
Is 9760-5,220 more or less then 4,000
givi [52]
It's more than 4,000
7 0
2 years ago
Read 2 more answers
Other questions:
  • At the start of the month, Stephen’s savings account had a balance of $1,624. He made a $420 withdrawal each week for four weeks
    5·2 answers
  • Consider the diagram and the paragraph proof below. Given: Right △ABC as shown where CD is an altitude of the triangle Prove: a2
    11·2 answers
  • Joshua is going to mow lawns during his summer break. The graph in the figure shows a linear relationship between the number of
    6·1 answer
  • In which set do all of the values make the inequality 2x - 1 < 10 true?
    11·1 answer
  • A probability calculator is required on this problem; answer to six decimal places. Suppose we will spin the wheel pictured 400
    13·1 answer
  • There are 188 people on the trip and their total cost for the bike tour was $5040. There were twelve more adults than seniors on
    5·1 answer
  • In 1990, the mean duration of long-distance telephone calls originating in one town was 7.2 minutes. A long-distance telephone c
    7·1 answer
  • What is the selling price of an item if the original cost is $784.50 and the markup on the item is 6.5 percent?
    14·1 answer
  • Chris wonders whether the planes that fly over his house follow any sort of pattern. For two months, he
    12·1 answer
  • Linnea is renting a bike. It costs $4.50 per hour plus a $5 deposit. a. Draw a line to show the relationship between the number
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!