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
liq [111]
3 years ago
12

Eighty-seven decreased by three times a number is greater than one hundred sixty-five

Mathematics
1 answer:
QveST [7]3 years ago
3 0
The answer
the question is not clear
if it is to determine how to write this phrase as a mathematics equation, it is as follow:
let be x the unknown number
so <span>ighty-seven decreased by three times a number is greater than one hundred sixty-five means  87 - 3x>165, 
so we can solve it easily as 87 - 165> 3x, and then 3 x > 32, and finally the value of x is x > 32/3=10.66</span>
You might be interested in
Class be boring but anyways what is ( 2 x 2 − 1 )?
mina [271]

Answer:

3

Step-by-step explanation:

In order to do this equation, your first step is to use the Order of Operations, or PEMDAS, which means that you multiply (M) two times two first before subtracting the equation (S). 2 times 2 is 4.  4 - 1 = 3. Hope I helped! :)

5 0
3 years ago
Use the function below to find f(2). f(x)=1/3•4^x
xenn [34]
To find f(2), you just need to replace x for 2.
1/3•4^(2)
The answer is 16/3 or 5.3333...
6 0
3 years ago
Read 2 more answers
Consider the following differential equation. x^2y' + xy = 3 (a) Show that every member of the family of functions y = (3ln(x) +
Veronika [31]

Answer:

Verified

y(x) = \frac{3Ln(x) + 3}{x}

y(x) = \frac{3Ln(x) + 3 - 3Ln(3)}{x}

Step-by-step explanation:

Question:-

- We are given the following non-homogeneous ODE as follows:

                           x^2y' +xy = 3

- A general solution to the above ODE is also given as:

                          y = \frac{3Ln(x) + C  }{x}

- We are to prove that every member of the family of curves defined by the above given function ( y ) is indeed a solution to the given ODE.

Solution:-

- To determine the validity of the solution we will first compute the first derivative of the given function ( y ) as follows. Apply the quotient rule.

                          y' = \frac{\frac{d}{dx}( 3Ln(x) + C ) . x - ( 3Ln(x) + C ) . \frac{d}{dx} (x)  }{x^2} \\\\y' = \frac{\frac{3}{x}.x - ( 3Ln(x) + C ).(1)}{x^2} \\\\y' = - \frac{3Ln(x) + C - 3}{x^2}

- Now we will plug in the evaluated first derivative ( y' ) and function ( y ) into the given ODE and prove that right hand side is equal to the left hand side of the equality as follows:

                          -\frac{3Ln(x) + C - 3}{x^2}.x^2 + \frac{3Ln(x) + C}{x}.x = 3\\\\-3Ln(x) - C + 3 + 3Ln(x) + C= 3\\\\3 = 3

- The equality holds true for all values of " C "; hence, the function ( y ) is the general solution to the given ODE.

- To determine the complete solution subjected to the initial conditions y (1) = 3. We would need the evaluate the value of constant ( C ) such that the solution ( y ) is satisfied as follows:

                         y( 1 ) = \frac{3Ln(1) + C }{1} = 3\\\\0 + C = 3, C = 3

- Therefore, the complete solution to the given ODE can be expressed as:

                        y ( x ) = \frac{3Ln(x) + 3 }{x}

- To determine the complete solution subjected to the initial conditions y (3) = 1. We would need the evaluate the value of constant ( C ) such that the solution ( y ) is satisfied as follows:

                         y(3) = \frac{3Ln(3) + C}{3} = 1\\\\y(3) = 3Ln(3) + C = 3\\\\C = 3 - 3Ln(3)

- Therefore, the complete solution to the given ODE can be expressed as:

                        y(x) = \frac{3Ln(x) + 3 - 3Ln(3)}{y}

                           

Download docx
6 0
3 years ago
The greatest common factor of 18 and 42 is: <br> 02<br> 6<br> 09<br> 18
Alex Ar [27]

Answer:

6

Step-by-step explanation:

We can obtain the greatest common factor by listing the factors of the 2 numbers, that is

Factors of 18 are 1, 2, 3, 6, 9, 18

Factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42

The common factors are 1, 2, 3, 6

The greatest common factor is 6

8 0
3 years ago
A section of a rectangle is shaded to form a rhombus. The length of one side of the rectangle is 15, and the height is x.
nordsb [41]
The answer to this question is 4 units
4 0
3 years ago
Read 2 more answers
Other questions:
  • How do you work out this math problem?? 3x+15-9=2(x+2)
    7·2 answers
  • Write a cosine function for the graph?
    6·1 answer
  • Hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
    14·1 answer
  • The diagram shows the dimensions of the pool cover for a hotel pool.
    9·1 answer
  • Solve for y <br><br> 4x + 4y = -36
    8·1 answer
  • What is the zero of the function below?
    5·2 answers
  • Four points are graphed on the number line below.
    11·1 answer
  • 3. Penny's family decided to go to the Splash Park.
    14·1 answer
  • Read the passage below.
    11·1 answer
  • Please help, this is due by 2:18pm est​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!