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
Zarrin [17]
3 years ago
13

Explain why the greatest common factor of 2 numbers are sometimes one

Mathematics
1 answer:
jolli1 [7]3 years ago
3 0
This occurs when the two numbers are prime. Prime numbers have only two factors, 1 and the value of the number itself. Therefore, two dofferent prime numbers would share no common factors other than 1.

Hope this helps!
You might be interested in
Which products result in a perfect square trinomial? Check all that apply.
sladkih [1.3K]

The <em><u>correct answers</u></em> are:

B=(xy + x)(xy + x) ; C=(2x – 3)(–3 + 2x) ; and E=(4y² + 25)(25 + 4y²)

Explanation:

In order to have a perfect square trinomial, we must multiply two binomials that are exactly the same.  For (xy+x)(xy+x), are multiplying two identical binomials.

For (2x-3)(-3+2x), we are multiplying two binomials that are the same but written in a different order.  The same is true of (4y² + 25)(25 + 4y²).

3 0
3 years ago
Read 2 more answers
Solve the system of equations.<br><br>- 9x + 4y = 6<br><br>9x + 5y = -33​
liubo4ka [24]

Let us solve this system of equations by using the elimination method. Adding the 2 equations, we get

9x + 5y - 9x + 4y = -33 + 6

9y = -27

y = -3

Substituting this value of y in the first equation, we get

-9x + 4(-3) = 6

-9x - 12 = 6

9x + 12 = -6

9x = -18

x = -2

Therefore, x = -2, and y = -3. Hope this helps! If you have any questions, feel free to ask.

7 0
3 years ago
If g(x) = 3x + 1, evaluate g(-2).
zloy xaker [14]
G(x) = 3x + 1, evaluate g(-2).

Simply plug in (- 3) in g(x)

g(-2) = 3(-2) + 1

g(-2) = - 6 +1

g(-2) = - 5

4 0
3 years ago
Help please thanks don’t know how to do this
Setler79 [48]

Answer:

a = 11.71 ; b = 15.56

Step-by-step explanation:

For this problem, we need two things.  The law of sines, and the sum of the interior angles of a triangle.

The law of sines is simply:

sin(A)/a = sin(B)/b = sin(C)/c

And the sum of interior angles of a triangle is 180.

45 + 110 + <C = 180

<C = 25

We can find the sides by simply applying the law of sines.

length b

7/sin(25) = b/sin(110)

b = 7sin(110)/sin(25)

b = 15.56

length a

7/sin(25) = a/sin(45)

a = 7sin(45)/sin(25)

a = 11.71

6 0
3 years ago
What are the approximate values of the minimum and maximum points of f(x) = x5 − 10x3 + 9x on [-3,3]?
nika2105 [10]

Answer:

Minimum : -37 at x=2.4 and

Maximum = 37 at x=-2.4.

Step-by-step explanation:

Given:

f(x)=x^5-10x^3+9x; [-3,3]

Explanation:

In order to find minimum/maximum of a function, we need to find the first derivative of the function and then set it equal to 0 to get critical points.

Therefore,

f'(x)=5x^4-30x^2+9

Setting derivative equal to 0, we get

5x^4-30x^2+9=0

On applying quadratic formula, we get

x=2.4, -2.4, -0.7, 0.7.

So, those are critical points of the given function.

Plugging the values x=2.4, -2.4, -0.7, 0.7, -3 and 3 in above function, we get

f(2.4)=(2.4)^5-10(2.4)^3+9(2.4)= -37.01376   : Minimum.

f(-2.4)=(-2.4)^5-10(-2.4)^3+9(-2.4)= 37.01376 : Maximum.

f(0.7)=(0.7)^5-10(0.7)^3+9(0.7) = 3.03807

f(-0.7)=(-0.7)^5-10(-0.7)^3+9(-0.7) = -3.03807

f(-3)=(-3)^5-10(-3)^3+9(-3) =0

f(3)=(3)^5-10(3)^3+9(3) =0

Therefore the approximate values of the minimum and maximum points of f(x) = x^5- 10x^3+ 9x on [-3,3] are:

Minimum : -37 at x=2.4 and

Maximum = 37 at x=-2.4.


7 0
3 years ago
Other questions:
  • I need help on this math problem
    10·1 answer
  • Patrick's favorite shade of purple paint is made with 4 ounces of blue paint for every 3ounces of red paint.
    10·2 answers
  • For the function F(x)=1/x+1, whose graph is shown below, what is the relative value of F(x) when the value of x is close to -1.
    12·1 answer
  • Help with polynomials
    14·2 answers
  • My goal was to raise $5,000 to help protect the manatees. She raised 3,500. What percent of her goal did she achieve
    11·1 answer
  • On a certain hot​ summer's day, 539539 people used the public swimming pool. The daily prices are $ 1.25$1.25 for children and $
    7·1 answer
  • Jill used 5⁄6 cup of flour and 1⁄3 cup of sugar. how much more flour than sugar did jill use in her recipe?
    6·1 answer
  • 17 - 5 x 4 divided by 2
    7·2 answers
  • What is 20 minus -13
    7·1 answer
  • Kim has a rope that is meter long, she wants to cut it into 5 places, Each piece must be the same size.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!