(a) We have ⌊<em>x</em>⌋ = 5 if 5 ≤ <em>x</em> < 6, and similarly ⌊<em>x</em>/3⌋ = 5 if
5 ≤ <em>x</em>/3 < 6 ==> 15 ≤ <em>x</em> < 18
(b) ⌊<em>x</em>⌋ = -2 if -2 ≤ <em>x</em> < -1, so ⌊<em>x</em>/3⌋ = -2 if
-2 ≤ <em>x</em>/3 < -1 ==> -6 ≤ <em>x</em> < -3
In general, ⌊<em>x</em>⌋ = <em>n</em> if <em>n</em> ≤ <em>x</em> < <em>n</em> + 1, where <em>n</em> is any integer.
I do not understand what is being asked in (c) and (d), so you'll have to clarify...
Answer:
I'm not entirely sure but I think that what is says is that it wants you to find the value of x in (4x+28) to make it 116 degrees because it is that same angle. So what you do is you get (4x+28)=116 and you do this because they are the same angle so you use 116 and get it to solve x. Since I'm lazy, then I go to this website and type the equation in: m a t h w a y . c o m but without all of the spaces, I had to do that so it would let me answer this, but I'll do it the real way this time. (4x+28)=116 Their is a rule in math that as long as you do something to one side of the equal sign in the equation, you have to do it to the other and it will still work. So, you minus 28 from both sides so that you can get rid of it and you now have 4x=88. Now you should know this part but you divide 4 from both sides to make so x is alone. Now you have x=22 because you divided 4 from each side. So their is your answer: x=22.
Step-by-step explanation: If you have the answer key that you can check from to make sure you got it right because I know some teachers let you do that, then you should make sure that is right, but I am pretty sure it is.
Answer:
<em>The true statements are:</em>
<em>*The median weight for shelter A is greater than shelter B.</em>
<em>*The (IQR) interquartile range of shelter A is greater than the (IQR) interquartile range of shelter B.</em>
Step-by-step explanation:
<em>(for shelter A)</em>
median: 21
lowest value: 8
highest value: 30
lower quartile: 17
upper quartile: 28
(IQR) interquartile range: 28 - 17 = 11
Range: 30 - 8 = 22
<em>(for shelter B)</em>
median: 18
lowest value: 10
highest value: 28
lower quartile: 16
upper quartile: 20
(IQR) interquartile range: 20 - 16 = 4
Range: 28 - 10 = 18
~phew!, this took me long xd, hope this helps you~
I would highly appreciate it if you would mark me the brainliest~ :)
Given,
y = -3x+1 (EQ1)
y = 2x-4 (EQ2)
Equate EQ1 and EQ2
EQ1 = EQ2
-3x+1 = 2x-4
-3x-2x = -4-1
x = 1
y = -3x+1
y = -3(1)+1
y = -3+1
y = -2
(1, -2)
~B
Answer:
I'm not 100% sure I'm right but I think x = -1
because it says "f(x)" and then it says"Find f(-1)" so that is why I think x = -1