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3 years ago

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

1 answer:

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!

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Which products result in a perfect square trinomial? Check all that apply.

sladkih [1.3K]

The correct answers 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. - 9x + 4y = 6 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