# Re-write the set W by listing its elements. Use the appropriate set notation. W= { x / x is an integer and x > 3}

2 months ago

## Solution 1

Guest #9847975
2 months ago
For this, we will use roster notation.

We know that x has to be an integer, which is any number not a fraction. We also know that x is greater than 3, but not equal to it, therefore 3 will not be included. Our set will start with 4.

Since there are many, many integers greater than 3, we only have to list the first 5 and then add "..." to show the pattern continues.

W = {4, 5, 6, 7, 8, ...}

## ðŸ“š Related Questions

Question
I need help with this problem. 2.9 Ã— 10 ^11 - 3.7 Ã— 10^13
Solution 1
$$2.9\times10^{11}-3.7\times10^{13}=2.9\times10^{11}-3.7\times10^2\times10^{11}\\\\=10^{11}\times(2.9-3.7\times10^2)=10^{11}\times(2.9-3.7\times100)\\\\=10^{11}\times(2.9-370)=-367.1\times10^{11}=-3.671\times10^{13}$$
Question
I know how to do equivalent fractions but idk how to do this one
Solution 1

Reduce your fraction 2/4 down to 1/2, and then find the smallest common factor of 2 and 6 (which happens to be 6). Since you multiply 2 by 3, then you have to multiply your numerator by 3 also, giving you 3/6. Since your denominators match, it means you have found the answer.
Solution 2

2/4 = x/6

2/4 = 1/2 = 3/6

you find the least common denominator which will be 12

2/4 = 6/12

you multiply 4 x 3 to get 12 so you have to multiply 2 x 3 and get 6.

now if youÂ divideÂ  both numbers 6/12Â by 2 then 6/12=1/2.

another way to look at this one is 2 is half of 4, so what is half of 6.

../.... = .../......

Question
You travel 60 kilometers in 1.5 hours. What is your average speed?
Solution 1
technically you could write 60km/1.5hr but I think you meant km/hr.

So your traveling 60km every 1.5hours but you only want to know how much every one hour. think of 1.5 as 150% of what you want (which is one) take 60 divide it into one hundred pieces (60/150) then multiply buy 100% of what you want (quotient of last problem * 100)
final equation looks like this (60/150) 100 = 40 km/ hr
Ps. *=multiply
Solution 2
Your average speed is 60 km per 1.5 hours. In a somewhat more popular unit, it's 60/1.5=40 km/hr.
Question
f(x)={1/2x-2, if xâ‰¥0}
Â Â  Â Â Â  {3/4x+3, if x<0}
Graph this equation?
I don't understand how to do this.
Solution 1
$$f(x)= \left\{\begin{array}{ccc}\frac{1}{2}x-2&if\ x\geq0\\\frac{3}{4}x+3&if\ x < 0\end{array}\right\\------------------\\x < 0\to f(x)=\frac{3}{4}x+3\\\\for\ x=-4\to y=\frac{3}{4}(-4)+3=-3+3=0\to(-4;\ 0)\\for\ x=0\to y=\frac{3}{4}(0)+3=3\to(0;\ 3)\\------------------------\\x\geq0\to f(x)=\frac{1}{2}x-2\\\\for\ x=0\to y=\frac{1}{2}(0)-2=-2\to(0;-2)\\for\ x=4\to y=\frac{1}{2}(4)-2=2-2=0\to(4;\ 0)\\------------------------------\\Look\ at\ the\ picture.$$
Question
* Use for question 4-6 *

The expression 16t2 models the distance in feet that an object falls during t seconds after being dropped. Find the distance an object falls during each time.

4) .25 sec 5) .5 sec 6) 2 sec

need helpp
Solution 1
16ft.(.25s)2
4ft/s*2
8ft/s

16ft(.5s)2
8ft/s * 2
16ft/s

16ft(2s)2
32ft/s * 2
64ft/s

ft =feet
s =second(s)
/ =per
Question
Round 157 to the nearest ten
Solution 1
160
because 157 is closer to 160 than 150
Solution 2
If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up (+1).

If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down (no change).

157 â‰ˆ 160
Question
Solve for x 3(8x-5)=-4(7-6x)
Solution 1

3(8x - 5) = -4(7 - 6x)

Distribute 3 and -4 inside their respective parentheses.

24x - 15 = -28 + 24x

24x + 13 = 24x

Subtract 24x from both sides.

13 = 0

This is an untrue statement, so that means there are no solutions to this equation.

Solution 2

no solution

Step-by-step explanation:

I did this question on my homework and I got it correct

Hope this helps! ;)

Question
Â Find the midpoint of the segment joining the points: (4, -2) and (-8, 6) Hint: Formula for midpoint is (x1+x2)/2, (y1+y2)/2Â
Solution 1
$$(4;-2);\ (-8;\ 6)\\\\the\ midpoint:\left(\frac{4+(-8)}{2};\ \frac{-2+6}{2}\right)\to\left(\frac{4-8}{2};\ \frac{4}{2}\right)\to\left(\frac{-4}{2};\ \frac{4}{2}\right)\to(-2;\ 2)$$
Solution 2

(-2, 2)

Step-by-step explanation:

Look at the image down below!! (ï¾‰â—•ãƒ®â—•)ï¾‰*:ï½¥ï¾Ÿâœ§

Question
What is negative five over eight -5/8 b = 10
Solution 1
$$- \frac{5}{8}\cdot b = 10 \ \ \ |multiply\ both\ sides\ by\ (-\frac{8}{5}) \\\\(-\frac{8}{5})\cdot (- \frac{5}{8})\cdot b =(-\frac{8}{5})\cdot 10\\\\b=(-8)\cdot 2\\\\b=-16$$

Question

solve and reduce to lowest term 5 1/2- 2/3
Solution 1
$$5 \frac{1}{2}- \frac{2}{3}= 5 \frac{3}{6}- \frac{4}{6}=4\frac{9}{6}-\frac{4}{6}=4\frac{5}{6}$$

Solution 2
5 1/2 - 2/3
11/2 - 2/3
33/6 - 4/6
29/6

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