there are 12 inches in 1 foot, so 6 inches is really just half a foot, thus 3'6" is really just 3.5' or 3½ feet.
now, let's convert those mixed fractions to improper fractions and then subtract, bearing in mind our LCD will be 8.
![\bf \stackrel{mixed}{4\frac{5}{8}}\implies \cfrac{4\cdot 8+5}{8}\implies \stackrel{improper}{\cfrac{45}{8}}~\hfill \stackrel{mixed}{3\frac{1}{2}}\implies \cfrac{3\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{7}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{45}{8}-\cfrac{7}{2}\implies \stackrel{\textit{using the LCD of 8}}{\cfrac{(1)45~~-~~(4)7}{8}}\implies \cfrac{45-28}{8}\implies \cfrac{17}{8}\implies 2\frac{1}{8}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B4%5Cfrac%7B5%7D%7B8%7D%7D%5Cimplies%20%5Ccfrac%7B4%5Ccdot%208%2B5%7D%7B8%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B45%7D%7B8%7D%7D~%5Chfill%20%5Cstackrel%7Bmixed%7D%7B3%5Cfrac%7B1%7D%7B2%7D%7D%5Cimplies%20%5Ccfrac%7B3%5Ccdot%202%2B1%7D%7B2%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B7%7D%7B2%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ccfrac%7B45%7D%7B8%7D-%5Ccfrac%7B7%7D%7B2%7D%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Busing%20the%20LCD%20of%208%7D%7D%7B%5Ccfrac%7B%281%2945~~-~~%284%297%7D%7B8%7D%7D%5Cimplies%20%5Ccfrac%7B45-28%7D%7B8%7D%5Cimplies%20%5Ccfrac%7B17%7D%7B8%7D%5Cimplies%202%5Cfrac%7B1%7D%7B8%7D)
Answer:
-18
Step-by-step explanation:
Left Hand Side = -2(7a + 9b) = -14a - 18b
Comparing it with Right Hand Side, ? = -18
Answer:
Because the numerator cannot be higher than the denominator
Step-by-step explanation:
8/6 would be counted as incorrect bc the numerator (8) cannot be higher than the denominator (6). so it would be written as 1 2/6
Answer:
The range is {4,2,0,-2}
Step-by-step explanation:
The domain of the function is given as {-1,0,1,2}.
The function is defined as

The range of a function is the set of all values of y that corresponds to an element in the domain.
We substitute each element from the domain to obtain, the corresponding element in the range;

When x=0,

When x=1,

When x=2,

Therefore the range is {4,2,0,-2}