1answer.
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
mr Goodwill [35]
3 years ago
6

Which equation is the inverse of y = 16x^2 + 1?

Mathematics
2 answers:
timama [110]3 years ago
6 0
Switch y and x: x =16y^2 + 1
Solve for y: x-1=16y^2
16y =+-√(x-1)
y =+-√(x-1)/16
nordsb [41]3 years ago
4 0

Answer:

The inverse of the equation is f^{-1}(x)=\pm\sqrt{\frac{x-1}{16}}                

Step-by-step explanation:

Given : Equation y=16x^2+1

To find : The inverse of the equation ?

Solution :

Equation y=16x^2+1

To find the inverse we interchange the value of x and y,

x=16y^2+1

Now, solve for y

16y^2=x-1

Divide by 16 both side,

y^2=\frac{x-1}{16}

Taking root both side,

y=\pm\sqrt{\frac{x-1}{16}}

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

Therefore, The inverse of the equation is f^{-1}(x)=\pm\sqrt{\frac{x-1}{16}}

You might be interested in
In a video store, a DVD that sells for $15 is marked "10% off." What is the discount? What is the sale price of the DVD?
Margarita [4]

Answer:

it will be 1.50$ off as the discount so sold for 13.50 is the sale price

8 0
3 years ago
Read 2 more answers
What are the types of roots of the equation below?<br> - 81=0
Tju [1.3M]

Option B, that is Two Complex and Two Real which are x + 3, x - 3, x + 3i and x - 3i, are the types of roots of the equation x⁴ - 81 = 0. This can be obtained by finding root of the equation using algebraic identity.    

<h3>What are the types of roots of the equation below?</h3>

Here in the question it is given that,

  • the equation x⁴ - 81 = 0

By using algebraic identity, (a + b)(a - b) = a² - b², we get,  

⇒ x⁴ - 81 = 0                      

⇒ (x² +  9)(x² - 9) = 0

⇒ (x² + 9)(x² - 9) = 0

  1. (x² -  9) = (x² - 3²) = (x - 3)(x + 3) [using algebraic identity, (a + b)(a - b) = a² - b²]
  2. x² + 9 = 0 ⇒ x² = -9 ⇒ x = √-9 ⇒ x= √-1√9 ⇒x = ± 3i

⇒ (x² + 9) = (x - 3i)(x + 3i)

Now the equation becomes,

[(x - 3)(x + 3)][(x - 3i)(x + 3i)] = 0

Therefore x + 3, x - 3, x + 3i and x - 3i are the roots of the equation

To check whether the roots are correct multiply the roots with each other,

⇒ [(x - 3)(x + 3)][(x - 3i)(x + 3i)] = 0

⇒ [x² - 3x + 3x - 9][x² - 3xi + 3xi - 9i²] = 0

⇒ (x² +0x - 9)(x² +0xi - 9(- 1)) = 0

⇒ (x² - 9)(x² + 9) = 0

⇒ x⁴ - 9x² + 9x² - 81 = 0

⇒ x⁴ - 81 = 0

Hence Option B, that is Two Complex and Two Real which are x + 3, x - 3, x + 3i and x - 3i, are the types of roots of the equation x⁴ - 81 = 0.

Disclaimer: The question was given incomplete on the portal. Here is the complete question.

Question: What are the types of roots of the equation below?

x⁴ - 81 = 0

A) Four Complex

B) Two Complex and Two Real

C) Four Real

Learn more about roots of equation here:

brainly.com/question/26926523

#SPJ9

5 0
1 year ago
Bradley estimated the height of a tree at 2.5 meters. Carla estimated that tree's height at 8 feet.
vredina [299]

Answer: 4.1 feet : 4 feet

Step-by-step explanation:

From the question, we are informed that Bradley estimated the height of a tree at 2.5 meters. Carla estimated that tree's height at 8 feet.

The conversion ratio be used to compare Bradley's and Carla's estimates of the tree's height when measured in feet goes thus:

Since 1 feet = 0.305 meters

2.5 meters will be = 2.5/0.305 = 8.2 feet

Therefore the conversion ratio will be:.

= 8.2 : 8

Reducing to lowest term will be

= 4.1 feet : 4 feet.

= 4.1 : 4

4 0
3 years ago
PLEASE HELP ME WILL MAKE BRAINLIEST
ira [324]

Answer:

You add all them then divided 4 i think

8 0
2 years ago
Read 2 more answers
The amount of time, in hours, babies spent sleeping in two different nurseries is shown on the dot plots below.
azamat

Answer:

The babies in Nursery 2 spent more time napping.

Step-by-step explanation:

i had took a test and got it right

4 0
3 years ago
Read 2 more answers
Other questions:
  • Determine the slope of the line that contains the points (0, 2) and (-5, 1).  
    10·1 answer
  • Solve for the variable please
    8·2 answers
  • Square root of 244 by division method
    11·1 answer
  • In 12 hours, the temperature fell steadily from 17degrees to -7degrees f. what was the average change in temperature per hour?
    5·1 answer
  • Which statements describe analogous structures? Check all that apply.
    8·2 answers
  • The angle measures of a triangle are 33 degrees, 94 degrees, and 53 degrees. what angle is it?
    13·1 answer
  • Which triangle is acute?
    15·2 answers
  • Expand and simplify (2x+1)(x+3)
    6·1 answer
  • In a class of students, the following data table summarizes how many students have a
    5·1 answer
  • Tell me if right plz
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!