Answer:
-4 < n ≤ 5
Step-by-step explanation:
Since the left inequality is an open circle and going to the right, the sign will be >
Since the right inequality sign is a closed circle and is going left, the sign would be ≤
The open circle ends at -4 so, n > -4
The closed circle ends at 5 so, n ≤ 5
You combine them and it looks like this:
-4 < n ≤ 5
![\begin{array}{rrrrr} 10x&-&18y&=&2\\ -5x&+&9y&=&-1 \end{array}~\hfill \implies ~\hfill \stackrel{\textit{second equation }\times 2}{ \begin{array}{rrrrr} 10x&-&18y&=&2\\ 2(-5x&+&9y&)=&2(-1) \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{rrrrr} 10x&-&18y&=&2\\ -10x&+&18y&=&-2\\\cline{1-5} 0&+&0&=&0 \end{array}\qquad \impliedby \textit{another way of saying \underline{infinite solutions}}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Brrrrr%7D%2010x%26-%2618y%26%3D%262%5C%5C%20-5x%26%2B%269y%26%3D%26-1%20%5Cend%7Barray%7D~%5Chfill%20%5Cimplies%20~%5Chfill%20%5Cstackrel%7B%5Ctextit%7Bsecond%20equation%20%7D%5Ctimes%202%7D%7B%20%5Cbegin%7Barray%7D%7Brrrrr%7D%2010x%26-%2618y%26%3D%262%5C%5C%202%28-5x%26%2B%269y%26%29%3D%262%28-1%29%20%5Cend%7Barray%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Cbegin%7Barray%7D%7Brrrrr%7D%2010x%26-%2618y%26%3D%262%5C%5C%20-10x%26%2B%2618y%26%3D%26-2%5C%5C%5Ccline%7B1-5%7D%200%26%2B%260%26%3D%260%20%5Cend%7Barray%7D%5Cqquad%20%5Cimpliedby%20%5Ctextit%7Banother%20way%20of%20saying%20%5Cunderline%7Binfinite%20solutions%7D%7D)
if we were to solve both equations for "y", we'd get
notice, the 1st equation is really the 2nd in disguise, since both lines are just pancaked on top of each other, every point in the lines is a solution or an intersection, and since both go to infinity, well, there you have it.
Now:
kimberly = k
jordan = k - 102
2 years ago
kimberly = k - 2
jordan = k - 104
k - 2 = 4(k - 104)
k - 2 = 4k - 416
-3k = -414
k = 138
kimberly is 138
jordan is 138 - 102 = 36
k - 102 = 36
9514 1404 393
Answer:
-135/14
Step-by-step explanation:
There are an infinite number of rational numbers between any pair of numbers you name. These two number have the decimal values ...
-67/7 = -9 4/7 = -9.571428... (repeating)
-78/8 = -9 3/4 = -9.75
So, numbers like -9.6 = -48/5, or -9.7 = -97/10 are rational numbers that lie in the range you specified.
If you like, you can convert these numbers to ones with a common denominator (56).
-67/7 = -536/56
-78/8 = -546/56
These limits suggest several possible rational numbers with 56 as a denominator: -540/56 = -135/14, for example.
Answer:
yessss pointssssssssssssssssssss
