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
sveta [45]
3 years ago
12

How to solve: Sin(x)=x^2-pi^2

Mathematics
1 answer:
LiRa [457]3 years ago
6 0

Rewrite the equation as

\sin(x) = x^2-\pi^2 = (x-\pi)(x+\pi)

If we choose x=\pm\pi, the right hand side becomes zero, and so does the left hand side.

If you graph the two functions f(x) = \sin(x) and g(x) = x^2-\pi^2, you'll see that there are only two solutions, so the ones we found are the only ones.

You might be interested in
If g(x) = -3x + 12, what is the solution set<br> if the domain of gis (-2, 0,2}?
disa [49]

Given:

The function is

g(x)=-3x+12

Consider the given domain of g is {-2,0,2}.

To find:

The solution set  if the domain of g for the given domain.

Solution:

Domain is the set of input values and range is the set of output value.

We have,

g(x)=-3x+12

Domain of g is {-2,0,2}.

For x=-2,

g(-2)=-3(-2)+12

g(-2)=6+12

g(-2)=18

For x=0,

g(0)=-3(0)+12

g(0)=0+12

g(0)=12

For x=2,

g(2)=-3(2)+12

g(2)=-6+12

g(2)=6

Now, the solution set  of the given domain of g is

\{f(-2),f(0),f(2)\}=\{18,12,6\}

Therefore, the solution set is {18,12,6}.

4 0
3 years ago
Complete the table and find the rule.
spin [16.1K]
See the table below for the missing values.

6 0
3 years ago
Read 2 more answers
Which algebraic expression is a polynomial? 4x2 – 3x + StartFraction 2 Over x EndFraction –6x3 + x2 – StartRoot 5 EndRoot 8x2 +
stealth61 [152]

Answer:

Step-by-step explanation:

"4x2 – 3x + StartFraction 2 Over x EndFraction" is definitely not a polynomial because one of the exponents of x is negative.

"–6x3 + x2 – StartRoot 5 EndRoot" is a polynomial because all of the exponents of x are integers 0 or greater.  

The presence of any root (fractional exponents included) of the variable x automatically disqualifies such expression:  it's not a polynomial.

5 0
4 years ago
Biologists have found that the number of chirps some crickets make per minute is related to temperature. The relationship is ver
pychu [463]

Answer:

  points (x, y) = {(124, 68), (172, 80)}

  y = 1/4x +37

Step-by-step explanation:

For the variable definitions given, the problem statement gives you the points ...

  (chirps, temperature) = (x, y) = (124, 68)  or  (172, 80)

__

You are asked to find a linear equation that relates x and y.

The slope can be found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (80 -68)/(172 -124) = 12/48 = 1/4

The y-intercept can be found from ...

  b = y -mx

  b = 68 -(1/4)(124) = 37

Then the equation that models the relationship can be written ...

  y = 1/4x +37

3 0
2 years ago
Find the value of y when x=3. <br> y=10-3x<br> y=
Oliga [24]
Y=1 I hope this helps :)
7 0
3 years ago
Other questions:
  • Evaluate the expression 5^3 ÷ (13 − 8) × 2.
    14·2 answers
  • How do you determine the GCF of 15abc^2 and 25a^3bc
    5·1 answer
  • Evaluate the following expression. Round your answer two decimal places. Log9 7
    5·2 answers
  • Fifth teen equal negative three a
    8·2 answers
  • A 300$ mountain bike is discounted by 30% and then an additional 10% for shoppers who arrive before 5:00 am.Find the sales price
    13·1 answer
  • Help plzzzzzzzzzzzzzzzzzzzzzzzzzzz
    9·1 answer
  • Need help ASAP will give Brainly!
    12·1 answer
  • Kristy wrote down a decimal number that is greater than 0.76 but less than 0.82. Which number did Kristy write?
    14·1 answer
  • What is 1/8 divided by 3/4?​
    8·1 answer
  • Find the upper quartile for the data. {9, 6, 13, 8, 8, 10, 9.5, 8, 7.5, 8.5}
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!