In the braces below, list all subsets of the set {6, 7, 8).

Solve 2x2 + 20x = −38. (1 point)

RoseWind [281]

Answer:

The solutions are $x=-5+\sqrt{6}$ and $x=-5-\sqrt{6}$

Step-by-step explanation:

we have

$2x^{2} +20x=-38$

Divide by $2$ both sides

$x^{2} +10x=-19$ ------> $x^{2} +10x+19=0$

we know that

The formula to solve a quadratic equation of the form $ax^{2} +bx+c=0$ is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^{2} +10x+19=0$

so

$a=1\\b=10\\c=19$

substitute

$x=\frac{-10(+/-)\sqrt{10^{2}-4(1)(19)}}{2(1)}$

$x=\frac{-10(+/-)\sqrt{100-76}}{2}$

$x=\frac{-10(+/-)\sqrt{24}}{2}$

$x=\frac{-10(+/-)2\sqrt{6}}{2}$

$x1=\frac{-10(+)2\sqrt{6}}{2}=-5+\sqrt{6}$

$x2=\frac{-10(-)2\sqrt{6}}{2}=-5-\sqrt{6}$

8 0

3 years ago

Read 2 more answers

A 85 inch piece of pipe is cut into three pieces, so that the second

nikdorinn [45]

Answer:

Step-by-step explanation:

x 2x 3x + 1

|---------|-------------------|---------------------------|

|<-------------------- 85 in ------------------------>|

85 = x + 2x + 3x + 1

85 - 1 = 6x

x = 84 / 6

x = 14

1st piece = 14 in

2nd piece = 2(14) = 28 in

3rd piece = 3(14) + 1 = 43 in

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

total = 85 in

3 0

3 years ago

If the level of significance of a hypothesis test is raised from 0.005 to 0.2, the probability of a type ii error will:_________

LiRa [457]

The probability of type II error will decrease if the level of significance of a hypothesis test is raised from 0.005 to 0.2.

<h3 /><h3>What is a type II error?</h3>

A type II error occurs when a false null hypothesis is not rejected or a true alternative hypothesis is mistakenly rejected.

It is denoted by 'β'. The power of the hypothesis is given by '1 - β'.

<h3>How the type II error is related to the significance level?</h3>

The relation between type II error and the significance level(α):

The higher values of significance level make it easier to reject the null hypothesis. So, the probability of type II error decreases.
The lower values of significance level make it fail to reject a false null hypothesis. So, the probability of type II error increases.
Thus, if the significance level increases, the type II error decreases and vice-versa.

From this, it is known that when the significance level of the given hypothesis test is raised from 0.005 to 0.2, the probability of type II error will decrease.

Learn more about type II error of a hypothesis test here:

brainly.com/question/15221256

#SPJ4

7 0

2 years ago

Hi there! Can someone help me with this, i need a proper answer, i don't need LINKS or FILES for the explanations.

alexira [117]

Answer:

<u>Using below system of inequalities</u>

y > 2x - 3
y < x + 1

<u>Following the rules </u>

1. Finding x- and y - intercepts
2. Connecting with dotted line for each as no equal symbol present in any inequality
3. Shade respective regions
4. Solution is the intersection of the shades regions
5. Select any three points in the solution region

y > 2x - 3
x- intercept: y = 0 ⇒ 0 = 2x - 3 ⇒ 2x = 3 ⇒ x = 1.5
y - intercept: x = 0 ⇒ y = -3
Shaded region is above the line (or to the left)

y < x + 1
x- intercept: y = 0 ⇒ 0 = x + 1 ⇒ x = -1
y - intercept: x = 0 ⇒ y = 1
Shaded region is below the line (or to the right)

<u>Selected points are:</u>

(-1, -1), (1, 1), (2, 2)

4 0

3 years ago

Given A is between Y and Z and YA = 2x, AZ = 16x, and YZ = 4x+56, find AZ.<br> Plsss help

cupoosta [38]

Answer:

64

Step-by-step explanation:

4 0

3 years ago