Answer:
#1: x = 3; #2 c = 1/2; #3 = x = 22; #4 is correct (x = -8)
Step-by-step explanation:
for the first equation everything was right until 22x = 66
after
22x = 66
you must divide everything by 22
x = 3
that is for #1
for the second equation you copied down the question wrong
the negative is still there
6c - 8 - 2c = -6
combine 6c and -2c
4c - 8 = -6
the negative remains on the 8
add 8 to both sides
4c = 2
divide 4 to both sides
c = 2/4 or just 1/2
for the third equation you must first combine like terms
-3x + 25 + x + 21 = 2
combine -3x and x & 25 and 21
-3x + x = -2x
25 + 21 = 46
-2x + 46 = 2
then subtract 46 from both sides
-2x = -44
now divide both sides by -2
x = 22
that is your answer
number four should be correct
Answer:
2/4 or 1/2 meatloaf
Step-by-step explanation:
2/4 simplified is 1/2 so she served half of a meatloaf. 1 - 1/2 = 1/2
let's firstly convert the mixed fractions to improper fractions and then simply get their difference, our denominators will be 8 and 2, so our LCD will be 8.
![\bf \stackrel{mixed}{27\frac{3}{8}}\implies \cfrac{27\cdot 8+3}{8}\implies \stackrel{improper}{\cfrac{219}{8}}~\hfill \stackrel{mixed}{2\frac{1}{2}}\implies \cfrac{2\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{5}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{219}{8}-\cfrac{5}{2}\implies \stackrel{\textit{using the LCD of 8}}{\cfrac{(1)219~~-~~(4)5}{8}}\implies \cfrac{219-20}{8}\implies \cfrac{199}{8}\implies 24\frac{7}{8}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B27%5Cfrac%7B3%7D%7B8%7D%7D%5Cimplies%20%5Ccfrac%7B27%5Ccdot%208%2B3%7D%7B8%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B219%7D%7B8%7D%7D~%5Chfill%20%5Cstackrel%7Bmixed%7D%7B2%5Cfrac%7B1%7D%7B2%7D%7D%5Cimplies%20%5Ccfrac%7B2%5Ccdot%202%2B1%7D%7B2%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B5%7D%7B2%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ccfrac%7B219%7D%7B8%7D-%5Ccfrac%7B5%7D%7B2%7D%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Busing%20the%20LCD%20of%208%7D%7D%7B%5Ccfrac%7B%281%29219~~-~~%284%295%7D%7B8%7D%7D%5Cimplies%20%5Ccfrac%7B219-20%7D%7B8%7D%5Cimplies%20%5Ccfrac%7B199%7D%7B8%7D%5Cimplies%2024%5Cfrac%7B7%7D%7B8%7D)
Answer:
C
Step-by-step explanation:
The expression in C is actually defined as y = 5^(x) which is an exponential function.
Answer:
the answer is no.
Step-by-step explanation:
the y-values are being shared by x-values, which makes it not a function