12 divided by 5/6 equals what ?

2x^2 - x = 10

=> 2x^2 - x - 10 = 0

=> 2x^2 - (5 - 4)x - 10 = 0

=> 2x^2 - 5x + 4x - 10 = 0

=> x(2x - 5) + 2(2x - 5) = 0

=> (2x - 5)(x + 2) = 0

Either, Or,

2x - 5 = 0 x + 2 = 0

=> 2x = 5 => x = - 2

=> x = 5/2

Answer:

[tex]x1 = \frac{5}{2} \: \: and \: x2 = - 2[/tex]

Step-by-step explanation:

So, our equation is:

2x² - x - 10 = 0

The numbers before x are a, b, and c

We must first find the discriminant which is equal to b² - 4*a*c

D = b² - 4 * a * c

Be careful here, b is -1 because we have minus before x and c is -10

D = (-1)² - 4*2*-10

D = 1 + 80

D = 81

Now we need to find the roots of the equation, since D is greater than 0, the roots are equal to (-b ± sqrt(D)) / 2*a

[tex]x1 = \frac{ -( - 1) + \sqrt{81} }{2 \times 2} = \frac{1 + 9}{4} = \frac{10}{4} = \frac{5}{2} [/tex]

and for x2 we will put minus:

[tex]x2 = \frac{ - ( - 1) - \sqrt{81} }{2 \times 2} = \frac{1 - 9}{4} = \frac{ - 8}{4} = -2 [/tex]

Answer:

x = 5 + 35

Step-by-step explanation:

This is correct if you mean x2 as in x^2

The value of x in the equation x² - 10x+ 25 = 35 is x=5±√35

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

The given equation is x² - 10x+ 25 = 35

Now we to solve for x by changing the equation to quadratic equation.

Subtract 35 from both sides

x² - 10x+ 25 - 35 = 0

x² - 10x -10 =0

By complete square method.

(x-5)² -10 -5² = 0

(x-5)²=10+5²

(x-5)²=10+25

(x-5)²=35

Take square root on both sides

(x-5)=±√35

x=5±√35

Hence, the value of x in the equation x² - 10x+ 25 = 35 is x=5±√35

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Answer:

[tex]a_{n}[/tex] = - 4n + 6

Step-by-step explanation:

There is a common difference between consecutive terms of the sequence

- 2 - 2 = - 6 - (- 2) = - 10 - (- 6) = - 14 - (- 10) = - 4

This indicates the sequence is arithmetic with explicit formula

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 2 and d = - 4 , then

[tex]a_{n}[/tex] = 2 - 4(n - 1) = 2 - 4n + 4 = - 4n + 6

[tex](\stackrel{x_1}{6}~,~\stackrel{y_1}{24})\qquad \stackrel{origin}{(\stackrel{x_2}{0}~,~\stackrel{y_2}{0})} ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{0}-\stackrel{y1}{24}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{6}}}\implies \cfrac{-24}{-6}\implies 4[/tex]

Answer:

I believe that would be 2 lemons for one quart.

Answer:

Step-by-step explanation:

QR is the corresponding side to ST since ΔPQR ~ ΔVST, considering the order of vertices.

Since the scale factor is 2/5, the ratio of corresponding sides is:

Answer:

They are not equivalent

Step-by-step explanation:

[tex]{ \tt{ - 9h - 4.5 \equiv - 0.75(12h - 4.5)}} \\ \\ { \tt{ - 9h - 4.5≠( - 9h + 3.375)}}[/tex]

Answer:

No, they are not equivalent.

Step-by-step explanation:

So in order to solve this question, you need to set the equations equal to each other. -9h-4.5=-0.75(12h-4.5)

Let's work on the left side first, only because it's going to take more work and because we need to solve it in order to continue the process. So you first are going to want to use the distributive property. Multiply 12h and -4.5 by -0.75. 12h*-0.75=-9h. -4.5*-0.75=3.375. so now your equation looks like -9h-4.5=-9h+3.375

So just looking at it, it seems as if these equations are not equivalent, just parallel.

Hope this helps!

Answer:

[tex]approxmatly \: = 6[/tex]

Answer:

√ [37]

Step-by-step explanation:

I'll be calling the first point, A,

being A(-4,1) ; B(2,0)

For the distance: d(A,B) = √(xB - xA)² + (yB - yA)² ⇔

⇔ d(A,B) = √(2+4)² + (0-1)² = √6² + 1² = √36 + 1 = √37

Ans

427

Step-by-step explanation:

divide 366 by 6 then multiply by 7.

Answer:

The positive regions of a function are those intervals where the function is above the x-axis. It is where the y-values are positive (not zero). The negative regions of a function are those intervals where the function is below the x-axis. It is where the y-values are negative (not zero).

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

just answered it !

Answer:

5

Step-by-step explanation:

-6+2n=3n-(6+5)

-6+2n=3n-11

-6+2n-3n=-11

-6-n=-11

n=-6-(-11)

n=-6+11

n=5

Step-by-step explanation:

Let the two consecutive natural numbers be x and x+1

Now, according to the problem

x+(x+1)=23

⇒ 2x+1=23

⇒ 2x=23−1

⇒ 2x=22

⇒ x=22÷2=11

The one number is 11

The next number is x+1=11+1=12

Hence the numbers are 11 and 12.

Be my Friend...

Answer:

Step-by-step explanation:

The filling speed is 30 hours or:

The draining speed is 34 hours or:

If both lines are open simultaneously, the filling speed is:

If the tank is 1/5 full, then we need to fill the 4/5 of level and it will take:

Answer:

It contains 3 pints of fruit juice.

Step-by-step explanation:

A pint is 16 ounces.

48 ounces divided by 16 ounces equals 3, giving us 3 pints.

I hope this helps.

Answer:

P = 2x + 150

Step-by-step explanation:

P = 2x + 150

Use the given formula:

Sqrt((5–4)^2 + (-3-2)^2)

Sqrt(9^2 +-5^2)

Sqrt(81 + 25)

Sqrt(106)

Answer is A. Sqrt106

Solution:

Draw the two legs of the right triangle (Refer to image). According to the image, point R shows a right angle. This means that:

Now, let's use Pythagoras theorem to find JK.

Option A is correct.

Answer:

Check the image below the explanation.

Step-by-step explanation:

Answer:

x=−3

Step-by-step explanation:

Move all terms that don't contain

x to the right side and solve.

hope this helps !

Answer:

2x+3r+16

Step-by-step explanation:

If you mean by simplify, here's the solution

2(x+6)+3r+4

2x+12+3r+4

2x+3r+16

Answer:

x = -2  ||   y = -3

Step-by-step explanation:

5x - 2y = -4

x + 2y = -8

--------------------------------------------

5x - 2y = -4

5x = -4 + 2y

x = (-4 + 2y)/5

x + 2y = -8

x = -8 - 2y

Solving simultaneously:

-8 - 2y  =   (-4 + 2y)/5

5(-8 - 2y) = -4 + 2y

-40 - 10y = -4 + 2y

-40 + 4 = 2y + 10y

-36 = 12y

y = -3

if y is -3 then x is:

x = -8 - 2y

x = -8 - 2(-3)

x = -2

Using it's formula, it is found that the geometric mean between 6 and 12 is of 8.4853.

The geometric mean between n numbers is given by the nth root of the product of the numbers.

In this problem, there are 2 numbers, 6 and 12, hence the geometric mean is given by:

[tex]M_g = \sqrt{6 \times 12} = \sqrt{72} = 8.4853[/tex]

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Answer:

Step-by-step explanation:

Perimeter equation:

We have:

Simplify the first equation and solve by substitution:

Find the value of l:

The equation is

And

And

L=7+2=9ft

Answer:

The solution to the system of equations is (0,2)

Step-by-step explanation:

The formula for slope is:  m  =  (y2 - y1) / (x2 - x1)   --->   m  =  (b - b) / (-a - a)  =  0/(-2a)  =  0

Answer:

a = 43/8

Step-by-step explanation:

8a-48+5+8a-43=0

16a-86=0

a=86/16

a=43/8

Answer:

164,340

Step-by-step explanation:

120n + 160,500

120(32) + 160,500

3842 + 160,500

164,340

Answer:

(5,2i) or (5,2)

Step-by-step explanation:

In the Argand Diagram, the imaginary value acts as the y-axis and the real value acts as the x-axis

(5, 2i) or (5,2)

Answer:

B

Step-by-step explanation: