3. Give the domain of y= √6-X using set builder notation.​

Answers

Answer 1

Answer:

{x | x ≤ 6}

Step-by-step explanation:

Given

y = √(6 - x)

Required

Determine the domain

We start by setting 6 - x to ≥ 0.

i.e.

6 - x ≥ 0

Add x to both sides

6 - x + x ≥ 0 + x

6 ≥ x

This can be rewritten as

x ≤ 6

Using set builder, the above van be represented as: {x | x ≤ 6}


Related Questions

Simplify. i^221 please help

Answers

221 = 220 + 1 = 4 * 29 + 1

So

i ²²¹ = i ²²⁰ i ¹ = i ⁴*²⁹ i = (i ⁴)²⁹ i = 1²⁹ i = i

since i ⁴ = 1.

5. Jaxson was filling his pool. When he started, it already contained 486 gallons. He filled it for
95 minutes with water coming out of a hose at a rate of 8.4 gallons per minute.
(a) How many gallons of water are in the pool at the end of 95 minutes?

Answers

Answer:

1284 gallons

Step-by-step explanation:

95 minutes*8.4 gallons=798 gallons

486 + 798 = 1284 gallons after 95 minutes

Help meeee pleaseeeeee

Answers

Answer: A.) y=-2/3x-3

18
-20 please find the answer​

Answers

-2 because since the top number is a positive number isn’t bigger than the negative number so it will be -2

What is the unit rate of 27:24

Answers

Answer:

It's nine 9...........

Step-by-step explanation:

Its nine

Answer:

9

Step-by-step explanation:

Notice that 27 can be factored out as 3 * 3 * 3

and 12 can be factored out as: 2 * 2 * 3

then when we study the ratio 27/12, we can cancel out a factor 3, leaving us with:   (3 * 3) / (2 * 2) = 9 / 4

Then 9 is the number you need to type in the box.

in one week katy walks 1,720 meters and runs 1,925 meters. she performs the same workouts for three weeks. how many meters does katy walk and run in three weeks of workouts?

Answers

Answer:

10,935 meters.

Step-by-step explanation:

Find how many meters she walks in 1 week, so you add the 1,720 and the 1,925 and you would get 3,645. If she does the same thing for 3 weeks, you multiply the 3,645 by 3, so you get 10,935 meters

HELP ASAP WILL MARK BRAINLY

Answers

Answer:

[tex]\frac{61}{99}[/tex]

Step-by-step explanation:

let x = 0.616161 (etc.)

make a second equation because you multiply by 100:

100x = 61.616161 (etc.)

subtract from each other

100x = 61.616161

     x =  0.616161

you get

99x = 61

solve for x

[tex]\frac{61}{99}[/tex]

Sam takes a sheet of paper and cuts from one corner to the opposite
comer, making two triangles. If the length of the cut is 41 inches and
the paper is 22 inches long, what is the width of the sheet of paper
(nearest tenth)?
41 in
22 in
width

Answers

Answer:

The width is 34.6

Step-by-step explanation:

You have to assume that the cut is a straight cut.

Givens

c = 41

a = 22

b = ?

Formula

a^2 + b^2 = c^2

Solution

22^2 + b^2 = 41^2

484 + b^2 = 1681                   Subtract 484 from both sides

484-484 + b^2 = 1681-484   Combine

b^2 = 1197                              Take the square root of both sides.

sqrt(b^2) = sqrt(1197)

b = 3*sqrt(133)

b = 34.598  

b = 34.6

please help me with this question!!!

Answers

first calculate the slope by change in y over change in x
it’s -0.334
then find y intercept
-6

so all together
-0.334x-6

Given that (-8,-6) is on the graph of f(x), find
the corresponding point for the function
f(x) - 3

Answers

Answer:-8,-9

Step-by-step explanation:

Christine chose cds to bring on her vacation. She bought 7 country cds and 3 rock cds. She will pick 1 cd at random and play it and put it back. What is the probability the first cd she picks us a country cd and then a rock cd

Answers

Answer:

probably 2 out of 10

Step-by-step explanation:

because it's 2 cds out of ten

Ways to regroup and rename the number 340,000

Answers

Answer:

decimal form, fraction form i think dont qoute me

Circle YES or NO The terms -5x and 5x are like terms. PLEASE I NEED IT REALLY QUICK

Answers

Answer:

YES

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Because -5x and 5x both have the same things in it (a full base number and variable), they are like terms. It doesn't matter that one is a negative and the other is not. It's just matters that everything else is the same.

I hope this helps!

an interger that is less than -2 and greater than -3.5

Answers

Answer:

Literslly anything less then -2 and greater then -3.5

Step-by-step explanation:

-2.1

-2.2

-2.3

-2.4

-2.5

-2.6

-2.7

-2.8

-2.9

-3.0

-3.1

-3.2

-3.3

-3.4

The R.D. Wilson Company makes a soft drink dispensing machine that allows customers to get soft drinks from the machine in a cup with ice. When the machine is running properly, the average number of fluid ounces in the cup should be 14. Periodically the machines need to be tested to make sure that they have not gone out of adjustment. To do this, six cups are filled by the machine and a technician carefully measures the volume in each cup. In one such test, the following data were observed:_______.
14.25 13.7 14.02
14.13 13.99 14.0
Based on these sample data,which of the following is true if the significance level is .05?
A) No conclusion can be reached about the status of the machine based on a sample size of only six cups.
B) The null hypothesis cannot be rejected since the test statistic is approximately t = .29,which is not in the rejection region.
C) The null hypothesis can be rejected since the sample mean is greater than 14.
D) The null can be rejected because the majority of the sample values exceed 14.

Answers

Answer:

B) The null hypothesis cannot be rejected since the test statistic is approximately t = .29,which is not in the rejection region.

Step-by-step explanation:

to calculate mean

14.25+ 13.7 +14.02 +14.13+ 13.99 +14.04

= 84.13/6

= 14.02167

average = 14

s = 0.1837

test statistics t:

(bar(x)-mu)/(s/√n)

= 14.02167-14/0.1837/√6

0.02167/0.1837/2.4495

= 0.02167/0.07499

=0.28897

this is approximately 0.29

therefore B) The null hypothesis cannot be rejected since the test statistic is approximately t = .29,which is not in the rejection region.

The legth of a rectangle is 15 inches less then twice its width, w. If the perimeter of the rectangle is 96 inches what is the length of a rectangle?​

Answers

Answer:

length of the rectangle=27"

Step-by-step explanation:

length be = l; width be = b

2b-15= l

perimeter= 2(l+b)

=2(2b-15+b)=96

=2(3b-15)  =96

3b-15 .=48

3b=48+15=63

b=21. Therefore l = (2 x 21)  - 15=42-15  =27"

The second angle of a triangle is twice as large as the first angle. The third angle is 35 greater than the second angle. How large is the first angle?

Answers

Answer:

  29°

Step-by-step explanation:

Let x represent the first angle. Then the second angle is 2x, and the third angle is 2x+35°. The sum of the angles is 180°, so we have ...

  x + 2x + (2x+35) = 180

  5x +35 = 180 . . . . collect terms

  x +7 = 36 . . . . . . . divide by 5

  x = 29 . . . . . . . . . . subtract 7

The first angle is 29°.

In the diagram, $AB,$ $BC,$ $CD,$ $DE,$ $EF,$ $FG,$ $GH,$ and $HK$ all have length $4,$ and all angles are right angles, with the exception of the angles at $D$ and $F.$


If perpendicular $EM$ is drawn from $E$ to $DF$ (a close-up is shown below), and if $x$ is the length of $EM,$ then what is $x^2$?

Please help with hints! - no solutions -

If u give a full solution I will report u :P
Also, trolls just wanting to get the 50 points will be reported!

Thanks for the help in advance :)

Answers

Hint: There are some right angles here. What do right angles do in triangles?

Answer:

8

Step-by-step explanation:

Please see the attachment down below.

Hope this helped! :)

halp pls will give brainlkiest

Answers

Answer:

The 1st one

hope this helped :)

(-4)(2)(-3)(6)=(-4)(-3)(2)(6) is POSITIVE because (-#)(-#)=+ and (+#)(+#)=+, so the answer is A

31,900 divided by 44

Answers

Answer:

725

Step-by-step explanation:

use a CALCULATOR -_-

Answer:

725

Step-by-step explanation:

Juan runs 6 miles in 50 minutes. At the same rate, how many miles would he run in 35 minutes?

Answers

about 4.2 or 4.3 :)

What is 6/20 of a dollar
BRAINLIEST IS RIGHT

Answers

Answer: 30 cents

Step-by-step explanation:

1/20 of a dollar is 5 cents

Then we multiply by the numerator (6) to get our answer....

5x6= 30

Hoped this helps! :)

Please help, very confused

Answers

Answer:

1.

-3x + 8y = -5

6x + 2y = -8

Set the equations to a common variable.

-3x + 8y = -5 → 8y = 3x - 5 → y = 3/8x - 5/8

6x + 2y = -8 → 2y = -6x - 8 → y = -3x - 4

Set the equations equal to each other.

3/8x - 5/8 = -3x - 4

Combine like terms.

3x + 3/8x = -4 + 5/8

3.375x = -3.375

Divide by 3.375

x = -1

Plug x back in to find y.

-3x + 8y = -5

-3(-1) + 8y = -5

3 + 8y = -5

8y = -8

y = -1

answer: (-1, -1)

2.

3x + 2y = -16

-3x - 8y = 46

Set the equations to a common variable.

3x + 2y = -16 → 2y = -3x - 16 → y = -3/2x - 8

-3x - 8y = 46 → -8y = 3x + 46 → y = -3/8x - 23/4

Set the equations equal to each other.

-3/2x - 8 = -3/8x - 23/4

Combine like terms.

-9/8x = 9/4

or

-1.125x = 2.25

Divide by -1.125

x = -2

Plug x back in to find y.

3(-2) + 2y = -16

-6 + 2y = -16

2y = -10

y = -5

answer: (-2, -5)

what is 48,020,000 expressed in scientific notation?

Answers

the correct answer would be 4.082 raised to the 7th power. hope this helped!
4.802^7 i believe is correct

Question 2 (1 point)
What is 0.000003012 written in scientific notation?

Answers

Answer:

3.012 × 10^ − 6

Step-by-step explanation:

hope this helps

Find 5/6 of 15. Express your answer in the simplest form.

Answers

the answer is 12.5


pls mark me as the brainliest

A department store purchases logo shirts at a cost of $10 per shirt. They mark up the price 100% and put them on
the sales floor. Every month that a shirt doesn't sell, the store reduces the selling price by 25%. After three monthly
markdowns, the final shirt from the shipment is sold. There is a 5% sales tax on the selling price. What is the total
cost to the customer?

Answers

Answer:

8.86

Step-by-step explanation:

The final cost to the customer would be:

$8.86

Explanation:

We can find this answer by taking each step individually.

The first step is to determine the cost after the 100% markup.

To get this, we would multiply the original cost by 2.

10*2 = 20.

Now that we have that new cost, we would find the cost after each markdown.

We would get this by taking the cost from the previous month and multiplying by 0.75 (75%), which is how much is left after each markdown of 25%.

First ---> 20*.75 = 15.

Second---> 15*.75 = 11.25.

Third ---> 11.25*.75 = 8.43.

Now that we have the cost of each shirt, we have to find the price along with sales tax.

Since the sales tax is 5%, we need to multiply by the whole cost 100% plus the addition 5% or (1.05).

8.43*1.05= 8.86  

Please hurry its urgent Thank you

The function f(x) is graphed on the coordinate plane

What is f(-2)

A)-4
B)-2
C)4
D)0

Answers

The answer would be B) -2

What is wrong with this "proof"?"Theorem" For every positive integern, ifxandyare positive integers with max(x, y) =n,thenx=y.Basis Step: Suppose thatn= 1. If max(x, y) = 1 andxandyare positive integers, we havex= 1 andy= 1.Inductive Step: Letkbe a positive integer. Assume that whenever max(x, y) =kandxandyare positive integers, thenx=y. Now let max(x, y) =k+ 1, wherexandyare positiveintegers. Then max(x−1, y−1) =k, so by the inductive hypothesis,x−1 =y−1. Itfollows thatx=y, completing the inductive step.

Answers

Answer:

Every step is wrong in the proof theorem

Step-by-step explanation:

The inductive step :  whenever max(x, y) = k and x and y are positive integers, then x = y. is wrong because

If max (x,y ) = k + 1 then max ( x-1, y-1 ) = k

and by inductive hypothesis : x-1 = y-1 and x =y

example :

max ( 2, 3 ) = 3 where x = 2 , y =3

and x ≠ y hence the inductive step is wrong


Christian's furniture store buys a desk and chair at a wholesale price of $320.00 If the markup rate at Christian's store
is 40%, what is the total markup in dollars.

Answers

$128

Step-by-step explanation:

you can literally just look it up ya know?

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