All categories

3 years ago

6 times the difference between q and 1

Mathematics

2 answers:

kherson [118]3 years ago

3 0

Answer:

6q-1. It's not factorsble with rational mumbers.

DENIUS [597]3 years ago

3 0

Answer:

6q - 6

Step-by-step explanation:

6 x (q - 1) =

6 x q - 6 x 1 =

6q - 6

Hope that helps! :)

-Aphrodite

You might be interested in

If the first step in the solution of the equation 2x - 8 = 5x + 3 is "subtract 2x," then in the form of a paragraph, explain in

monitta

$x = \frac{-11}{3}$

Step-by-step explanation:

Here we have , If the first step in the solution of the equation 2x - 8 = 5x + 3 is "subtract 2x," then in the form of a paragraph, explain in complete sentences the next steps necessary to completely solve the equation for x. Let's solve this :

2x - 8 = 5x + 3

⇒ $2x - 8 = 5x + 3$

⇒ $(2x - 8)-2x = (5x + 3)-2x$ { subtract 2x from both side }

⇒ $0 - 8 = 5x-2x + 3$

⇒ $- 8 = 3x + 3$

⇒ $- 8 -3= 3x + 3-3$ { subtract 3 from both sides }

⇒ $- 11 = 3x + 0$

⇒ $- 11 = 3x$

⇒ $\frac{-11}{3} = \frac{3}{3} x$ { divide 3 from both sides }

⇒ $x = \frac{-11}{3}$

3 0

3 years ago

Use implicit differentiation to find the points where the parabola defined by x2−2xy+y2+4x−8y+20=0 has horizontal and vertical t

Komok [63]

Answer:

The parabola has a horizontal tangent line at the point (2,4)

The parabola has a vertical tangent line at the point (1,5)

Step-by-step explanation:

Ir order to perform the implicit differentiation, you have to differentiate with respect to x. Then, you have to use the conditions for horizontal and vertical tangent lines.

-To obtain horizontal tangent lines, the condition is:

$\frac{dy}{dx}=0$ (The slope is zero)

--To obtain vertical tangent lines, the condition is:

$\frac{dy}{dx}=\frac{1}{0}$ (The slope is undefined, therefore the denominator is set to zero)

Derivating respect to x:

$\frac{d(x^{2}-2xy+y^{2}+4x-8y+20)}{dx} = \frac{d(x^{2})}{dx}-2\frac{d(xy)}{dx}+\frac{d(y^{2})}{dx}+4\frac{dx}{dx}-8\frac{dy}{dx}+\frac{d(20)}{dx}$ = $2x -2(y+x\frac{dy}{dx})+2y\frac{dy}{dx}+4-8\frac{dy}{dx}= 0$

Solving for dy/dx:

$\frac{dy}{dx}(-2x+2y-8)=-2x+2y-4\\\frac{dy}{dx}=\frac{2y-2x-4}{2y-2x-8}$

Applying the first conditon (slope is zero)

$\frac{2y-2x-4}{2y-2x-8}=0\\2y-2x-4=0$

Solving for y (Adding 2x+4, dividing by 2)

y=x+2 (I)

Replacing (I) in the given equation:

$x^{2}-2x(x+2)+(x+2)^{2}+4x-8(x+2)+20=0\\x^{2}-2x^{2}-4x+x^{2} +4x+4+4x-8x-16+20=0\\-4x+8=0\\x=2$

Replacing it in (I)

y=(2)+2

y=4

Therefore, the parabola has a horizontal tangent line at the point (2,4)

Applying the second condition (slope is undefined where denominator is zero)

2y-2x-8=0

Adding 2x+8 both sides and dividing by 2:

y=x+4(II)

Replacing (II) in the given equation:

$x^{2}-2x(x+4)+(x+4)^{2}+4x-8(x+4)+20=0\\x^{2}-2x^{2}-8x+x^{2}+8x+16+4x-8x-32+20=0\\-4x+4=0\\x=1$

Replacing it in (II)

y=1+4

y=5

The parabola has vertical tangent lines at the point (1,5)

4 0

3 years ago

message me if u can help with algebra 2

Over [174]

I wish I could help but I’m taking it right now too. I’m struggling lol

4 0

4 years ago

The mean of birth weights for individual babies in the population is 3,500 grams. What is the mean birth weight for the sampling

Gala2k [10]

Answer:

The mean birth weight for the sampling distribution is

3,500 grams.

Step-by-step explanation:

The sample mean is the average of the sample values collected divided by the number of the samples, while the population mean is the average or mean of all the values in the population. If the sample is random and the sample size is large enough, then the sample mean would be a good estimator of the population mean. This implies that with a randomly distributed and unbiased sample size, the sample mean and population mean will be equal, according to the central limit theorem. Therefore, the mean of the sample means will always approximate the population mean.

8 0

3 years ago

6. What is the midpoint of the line segment whose endpoints (7,-4) and (-3, -2)? are

quester [9]

Answer: (2, -3)

Step-by-step explanation:

To find the the answer, you will need to use the midpoint formula, which is as following:

(x₁+x₂/2, y₁+y₂/2)

Since we have two coordinates, let's substitute them into the equation.

(7 + (-3 )/ 2, (-4) + (-2)/2)

We should first add 7 and -3 together, as well as -4 and -2.

(4/2, -6/2)

We then divide 4 and -6 by 2. This would give us our midpoint coordinate.

(2, -3)

6 0

3 years ago