Square root 8( square root 2+2)

Please help me with this!<br><br><br> show that {1,2} ⊆ {x|x^4 - x^3 - x^2 - 5x + 6 = 0}

Llana [10]

The set $\{x\mid x^4-x^3-x^2-6x+6=0\}$ is the set of all values of $x$ that are solutions to the given equation. So all you need to do is check whether $x=1$ and $x=2$ satisfy the equation.

$x=1\implies 1^4-1^3-1^2-5+6=0$

$x=2\implies2^4-2^3-2^2-10+6=0$

The equation holds, so both 1 and 2 are solutions, and hence $\{1,2\}$ is a subset of the solutions.

6 0

3 years ago

Tamara earns $8 an hour at her job working 25 hours per week. If 22% of her paycheck goes to taxes, what is Tamara’s monthly cas

DerKrebs [107]

To solve this problem you must apply the proccedure shown below:

1. First, you must multiply $8 by the hours given in the exercise:

$(8dollars)(25hours)=200dollars$

2. Now, multiply the result obtained above by 4, to calculate her monthly income:

$(200dollars)(4)=800dollars$

3. If 22% of her paycheck goes to taxes, you have:

$(800dollars)-[(800dollars)(0.22)]=624dollars$

Therefore, the answer is: $624

5 0

3 years ago

What is the answer to -11+1/3x+9=7

artcher [175]

The answer is C that is X=27

view the picture for step by step solution

7 0

2 years ago

Read 2 more answers

working together, paul and dan can pick forty bushels of apples in 4.95 hours. Had he done it alone it would have taken dan 9 ho

Leya [2.2K]

Answer:

Step-by-step explanation:

If Daniel does 1/9 of the job in one hour

let x = Paul's rate

Paul does 1/x of the job in one hour

They both do the job in 4.95hrs

(1/9)(4.95) + (1/x)(4.95) = job completion

multiply both sides by 9x

(9x)(1/9)(4.95) + (9x)(1/x)(4.95) = 9x(1)

4.95x + 9*4.95 = 9x

4.95x + 44.55 = 9x

9x - 4.95x = 44.55

4.05x = 44.55

x = 44.55/4.05

x = 11 hours i.e time it takes for Paul to pick the 40 bushels alone

7 0

3 years ago

A cylinder closed tin of radius r cm is made from 600cm2 tin sheet of metal.

Zarrin [17]

Answer:

Note: The expression "h =300- pi r /pi r" would equate to 299, as written. I find h = (300 - π $r^{2}$ )/πr to be the equation for height.

Step-by-step explanation:

The total surface area of a sylinder is 2πr(h+r) where h is the height and r is the radius. That consists of top and bottom disks, each with an area of π $r^{2}$ , for a total of 2π $r^{2}$ . The side is a continous sheet that has an area of 2πrh, where h is the height. 2πr is the circumference of the can, so the surface area of the side is 2πrh.

The total surace area of a closed cylinder is therefore 2π $r^{2}$ + 2πrh.

2π $r^{2}$ + 2πrh = 600

π $r^{2}$ + πrh = 300

πrh = 300 - π $r^{2}$

h = (300 - π $r^{2}$ )/πr

7 0

2 years ago