All categories

3 years ago

2x^2=4+6x Show your work please

Mathematics

1 answer:

Furkat [3]3 years ago

7 0

Answer: x = 3 - sqrt 17 / 2 , x = 3 + sqrt 17 / 2

Step-by-step explanation:

2x^2 = 4 + 6x

divide both sides by 2

x^2 = 2 + 3x

move expression to the left

x^2 - 2 - 3x = 0

reorder the terms

x^2 - 3x - 2 = 0

use the quadratic formula

x = - (-3) +- sqrt (-3)^2 - 4 x (-2) / 2 x 1

calculate

x = 3 +- sqrt 17 / 2

answer

x = 3 - sqrt 17 / 2 , x = 3 + sqrt 17 / 2

You might be interested in

I’m confused how do you solve 378 divided by 6 like I know that it’s it 63 but how do you solve it

KatRina [158]

378 divided by 6 is 63

That is the solution. 63 is the final answer. You could mix it around to make sure and say... 6 times 63 equals 378

But there is no more than 63

5 0

3 years ago

Read 2 more answers

Assume the general population gets an average of 7 hours of sleep per night. You randomly select 45 college students and survey

tekilochka [14]

Answer:

a) ii. This is a left-tailed test.

b) -1.59

c) -1.301

d) i. reject null hypothesis

e) Option i) The data supports the claim that college students get less sleep than the general population.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 7 hours

Sample mean, $\bar{x}$ = 6.87 hours

Sample size, n = 45

Alpha, α = 0.10

Sample standard deviation, s = 0.55 hours

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 7\text{ hours}\\H_A: \mu < 7\text{ hours}$

a) We use one-tailed(left) t test to perform this hypothesis.

b) Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{6.87 - 7}{\frac{0.55}{\sqrt{45}} } =-1.59$

c) Now,

$t_{critical} \text{ at 0.10 level of significance, 44 degree of freedom } = -1.301$

Since,

$t_{stat} < t_{critical}$

d) We fail to accept the null hypothesis and reject it.

We accept the alternate hypothesis and conclude that mean number of hours of sleep for all college students is less than 7 hours.

e) Option i) The data supports the claim that college students get less sleep than the general population.

8 0

3 years ago

Passes through<br> (-8, 3) and (8, -1).

lawyer [7]

Answer:

Slope = Y2 -Y1 / X2 - X1

Slope = -1 -3 / 8 --8

Slope = -4 / 16

Slope = -1 / 4

To calculate the equation we fill in this equation:

(y - y1) = slope • (x -x1)

We only need to choose 1 point so we'll choose (-8, 3)

(y - 3) = -1 / 4 * (x --8)

So the Equation equals

y = -1 / 4 x -2 + 3

y = -1 / 4x +1

Source:

http://www.1728.org/distance.htm

Step-by-step explanation:

5 0

2 years ago

(06.06) 4 3(x + 4) represents the area of the rectangle above. Which expression below is equivalent by the Distributive Property

Alexeev081 [22]

Answer:

im on the same one if i get it right i will comment and tell u k?

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Help me please -no wrong answer = no Brainy, right answer = Brainiest

Natali5045456 [20]

Answer:

1 and 39/40

Step-by-step explanation:

Is east just add

7 0

2 years ago