Answer:
wed need to see an attatchment of the dot displays to give you an answer friend
Answer: There are 12 mountain bikes in the shop
Step-by-step explanation:
Total number of bikes in the bike shop =120
Percentage of mountain bikes =10%
Number of mountain bikes in the shop =10% of 120
=10% x 120
==0.1 x 120=12
x = 5 is not an extraneous solution of the equation.
✓(2x + 6) - ✓(x - 1) = 2
✓(2x + 6) = 2 + ✓(x - 1)
Squaring both the sides of equation, we get
(✓(2x + 6))² = (2 + ✓(x - 1))²
2x + 6 = (2)² + (✓(x - 1))² + 2(2)(✓(x - 1))
2x + 6 = 4 + x - 1 + 4(✓(x - 1))
x + 3 = 4✓(x - 1)
Squaring again on both the side of the equation, we get
(x + 3)² = (4✓(x - 1))²
x² + 3² + 2×3×x = 16(x - 1)
x² + 9 + 6x = 16x - 16
x² - 10x + 25 = 0
By applying middle term splitting on equation (1), we get
x² - 5x - 5x + 25 = 0
x(x - 5) -5(x - 5) = 0
(x - 5) (x - 5) = 0
x = 5 and 5.
Check for extraneous solutions by putting value of x in original equation -
✓(2×5 + 6) - ✓(5 - 1) = 2
✓16 - ✓4 = 2
4 - 2 = 2
2 = 2
LHS = RHS
x = 5 is not an extraneous solution of the equation.
Know more about roots of equation -
brainly.com/question/4098861
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let's firstly convert the mixed fractions to improper fractions.
![\bf \stackrel{mixed}{3\frac{1}{4}}\implies \cfrac{3\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{13}{4}}~\hfill \stackrel{mixed}{4\frac{3}{8}}\implies \cfrac{4\cdot 8+3}{8}\implies \stackrel{improper}{\cfrac{35}{8}} \\\\[-0.35em] ~\dotfill](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B3%5Cfrac%7B1%7D%7B4%7D%7D%5Cimplies%20%5Ccfrac%7B3%5Ccdot%204%2B1%7D%7B4%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B13%7D%7B4%7D%7D~%5Chfill%20%5Cstackrel%7Bmixed%7D%7B4%5Cfrac%7B3%7D%7B8%7D%7D%5Cimplies%20%5Ccfrac%7B4%5Ccdot%208%2B3%7D%7B8%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B35%7D%7B8%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill)
![\bf \stackrel{\textit{first one}}{\cfrac{13}{4}}+\stackrel{\textit{second one}}{\cfrac{35}{8}}-\stackrel{\textit{were used}}{5}\implies\cfrac{13}{4}+\cfrac{35}{8}-\cfrac{5}{1}\implies \stackrel{\textit{using an LCD of 8}}{\cfrac{(2)13~+~(1)35~+~(8)5}{8}} \\\\\\ \cfrac{26+35-40}{8}\implies \cfrac{21}{8}\implies 2\frac{5}{8}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7B%5Ctextit%7Bfirst%20one%7D%7D%7B%5Ccfrac%7B13%7D%7B4%7D%7D%2B%5Cstackrel%7B%5Ctextit%7Bsecond%20one%7D%7D%7B%5Ccfrac%7B35%7D%7B8%7D%7D-%5Cstackrel%7B%5Ctextit%7Bwere%20used%7D%7D%7B5%7D%5Cimplies%5Ccfrac%7B13%7D%7B4%7D%2B%5Ccfrac%7B35%7D%7B8%7D-%5Ccfrac%7B5%7D%7B1%7D%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Busing%20an%20LCD%20of%208%7D%7D%7B%5Ccfrac%7B%282%2913~%2B~%281%2935~%2B~%288%295%7D%7B8%7D%7D%20%5C%5C%5C%5C%5C%5C%20%5Ccfrac%7B26%2B35-40%7D%7B8%7D%5Cimplies%20%5Ccfrac%7B21%7D%7B8%7D%5Cimplies%202%5Cfrac%7B5%7D%7B8%7D)