{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Algebra part2 p7

# Algebra part2 p7 - Algebra continued 07 Finally let us...

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Algebra, continued. 07' Finally, let us suppose that we must solve the equation for x, given that A = 6.8, Q = 0.37, and T = 3.5. Dividing through by A isolates the term involving 3: on the left: 2 0.5=r = I" (1 — 111‘) To remove x from the exponent and have it appear on the line, take the logarithm of both sides: 1110.? = In [W] New by the properties of logarithms In 0.5" = x In 0.5 we then obtain xln0.5=lnl:Qz(_1;_1/ﬂ] Dividing both sides by In 0.5, we obtain an equation for x In [Q2(1 e llTl] Algalert'u. “windy A In 0.5 x: Now we substitute values for Q, T, and A [0.372(1' — [/13] in _ 6.8 x = In 0.5 _ In 0.0m ' In 0.5 \$4.24 = —0.693 "we r . Am; rearrangement is accomplished by treating both sides of the equation in Table . ‘ Solution of First Degree Equations in One Unknown Equation Operation 1. 5x = 4 x = 4/5 = 0.8 Divide both sides by S 2‘ 3-0 = 0.063 x 3.0:: = 0.063 Multiply both sides by x x “—' 0.02l Divide both sides by 3.0 3. 3x = 4 — 5x 3:: = 4 Add 5x to both sides X = 413 = 0-5 Divide both sides by 8 5 2 4. — = _ 2x — l x + 4 . 50: + 4) = 2(B - l) ' Multiply both sides by (2.: -1)(x + 4): goo 5x + 20 = 4x — 2 Minute "1!: harm: «rt-mt or: court-ifs. x + 20 = —2 Subtract 4:: from both sides x = —22 Subtract 20 from both sides : Table ' Conversion to Fits: Degree Equations Equation Operation ‘21. x1” = 6 , x = 36 Square both sides 2. x2 = 1.0 x 10‘” iM‘" “iv = 1.0 X 10:6 Extra? Squargrogt of both sides 3. 4:3 =32 x 10'“ “4'“ ‘1' w". m ‘ M“ " x3 = 0.3 x 10““l = 8.0 x 10‘” Divide by 4 x = 2.0 X 10' Extract cube root of both sides. (uh-I, 3 nob, :2. «at 0-4....“ mom), some sort}: 5T;= -‘iT._—1é,o :0 an identical manner (so as not to destroy the equality) until the desired tern" is isolated. E . ... M E" (a) a = 9 Wu" 3 — V'L‘ bu: ﬁns“... . C 'FfI-n 509‘“. n: my. V: volume To solve for a, divide b by c. To solve for b, multiply both sides of the equation by c. axc=§xf ,5 To solve for c, multiply both sides of the equation by g. c:— a To ckeckf inser‘i‘ in: answer- ivb‘o 4N. oraeyiul anon-bun? , .. , . » = b d To solve for b, multiply both sides of the equation by : :Exb’xd_,fxbx,d’ 1r c 1 z 6.. (1.) (b ' C) ' =d 1 To solve for b, ﬁrst multiply both sides of the equation by n. Then add c to both sides of the equation. I b—y’+/a/=dxa+c | b=(dxa}+c . i Whena: I.8,c=32,andde35, _ b=(35xl.8)+32=63+32=95 i To maﬁin-t ‘lwo know-wig (1': vm-Jhbhr their farms): (0: + 000x142): at: + (nu-L)“ + cub [email protected]¢+b)(cm+d) : A: 4:1 + (has-mt)“ 1. b-d A unﬁwmnie. 4.5-!- JN!» walked .‘s FOIL. son. (50:); Qul's'ule.’ ._1:_ inside} L-asl’) terms are, Mahmud ‘ ea. (2,: +30; —3) = (24:39:) +C—3)(2¢)[email protected])(«) Max—3) : 24‘ ~64: +21: "6 Probitm: Lise. VM do! him-ls Eqwd'idu. it" Mai 9015“ and. G—an'ESS li's leFi- Side. AS a. polynomial CP+%)(V-nb) = ART ...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online