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Graphs/105339: Write the equation of the line which passes through the point (2,1) and is parallel to the line with the equation y= 5/2x+6
1 solutions
Answer 76661 by checkley75(3666)   on 2007-10-20 22:42:17 (Show Source):
You can put this solution on YOUR website!Y=5X/2+6 (RED LINE) HAS A SLOPE OF 5/2 SO ANY PARALLEL LINE ALSO HAS A SLOPE OF 5/2.
THUS PASSINGH THROUGH (2,1) WE NEED TO SUBSTITUTE THESE VALUES IN THE LINE EQUATION Y=mX+b & SOLVE FOR b
1=5/2*2+b
b=1-5
b=-4 SO THE PARALLEL LINE EQUATION IS;
Y=5X/2-4 (GREEN LINE)
 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = 5x/2 +6 and y = 5x/2 -4).
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Expressions-with-variables/105328: I have a question concerning substitution and elimination. Goes like this:
Maria drove from Owen Sound to Ottawa, a distance of 550 km. The trip took 7 h. Maria drove at 70 km/h for part of the trip and at 85 km/h for the remainder of the trip. How far did she drive at 70 km/h?
Can you please answer this detailed for me>?
1 solutions
Answer 76647 by checkley75(3666) on 2007-10-20 22:06:15 (Show Source):
You can put this solution on YOUR website!70T+85(7-T)=550
70T+595-85T=550
-15T=550-595
-15T=-45
T=-45/-15
T=3 HOURS DRIVEN @ 70KM/H
7-3=4 HOURS DRIVEN @ 85 KM/H
PROOF
70*3+85*4=550
210+340=550
550=550
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Mixture_Word_Problems/105330: At a particular store they sell coffee for $4 a pound, cardamon for $35 a pound, and a coffee and cardamon mixture for $5 a pound. Assuming no change in profit on selling the mix versus its components how much caradamon should be mixed with 10 pounds of coffee?
1 solutions
Answer 76646 by checkley75(3666) on 2007-10-20 22:00:22 (Show Source):
You can put this solution on YOUR website!4*10+35*X=5(10+X)
40+35X=50+5X
35X-5X=50-40
30X=10
X=10/30
X=1/3 POUND OF $35COMPONENTS SHOULDBE USED.
PROOF
4*10+35*(1/3)=5(10+1/3)
40+35/3=50+5/3
40+11 2/3=50+1 2/3
51 2/3=51 2/3
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Linear-equations/105224: if a line passes through (5,2) and has a slope 2/3, then what is the value of y on this line when x=8, x=11, and x=12?
1 solutions
Answer 76595 by checkley75(3666) on 2007-10-19 22:42:59 (Show Source):
You can put this solution on YOUR website!Y=mX+b
2=2*5/3+b
2=10/3+b
b=2-10/3
b=(6-10)/3
b=-4/3
Y=2X/3-4/3 IS THE LINE EQUATION WITH A SLOPEOF 2/3 & PASSING THROUGH (5,2).
WHEN X=8 THEN:
Y=2*8/3-4/3
Y=16/3-4/3
Y=12/3=4 ANSWER.
WHEN X=11 THEN:
Y=2*11/3-4/3
Y=22/3-4/3
Y=18/3=6 ANSWER.
WHEN X=12 THEN:
Y=2*12/3-4/2
Y=24/3-4/3
Y=20/3 ANSWER.
 (graph 300x200 pixels, x from -6 to 15, y from -10 to 10, y = 2x/3 -4/3).
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Quadratic_Equations/105088: Good Evening tutor,
Could you tell me if I have these correct?
Solve by completing the square:
1.) 4x^2 + 2x - 3 = 0 is (-1+-sqrt of 13 / 8)
2.) x^2 = 5x + 2 is (5 +- sqrt of 29 / 2)
3.) 4x^2 + x - 3 = 0 is (1, -3/4)
I want to make sure I solved these correctly so any assistance is very much appreciated. Thank you in advance.
1 solutions
Answer 76594 by checkley75(3666) on 2007-10-19 22:20:53 (Show Source):
You can put this solution on YOUR website!4X^2+2X-3=0
4X^2+2X=+3
4X^2+2X+1/4=3+1/4
(2X+1/2)(2X+1/2)=13/4
2X+1/2=SQRT13/4
2X=SQRT13/4-1/2
X=(SQRT13/4)/2-(1/2)/2
X=(1/2SQRT13)/2-1/4
X=1/4SQRT13-1/4
X=1/4(SQRT13-1) ANSWER. (.56 & -1.15)
TO VERIFY THIS ANSWER USE THE QUADRATIC EQUATION:
AND YOU'LL HAVE ANSWERS OF .56 & -1.15
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USING THIS SAME PROCEDURE AND PROOF, SOLVE THE REMAINING PROBLEMS.
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Travel_Word_Problems/105126: Ching leaves San Francisco and travels toward Los Angeles at 50 miles/hour. An hour later, Phil leaves Los Angeles and travels toward San Francisco at 60 miles/hour. If the two cities are 380 miles apart, how many hours will it take for Ching to meet Phil?
1 solutions
Answer 76590 by checkley75(3666) on 2007-10-19 21:45:55 (Show Source):
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Human-and-algebraic-language/105136: There are 156 concrete blocks available to make a retaining wall. The bottom three rows will all have the same number of blocks. The next six rows will each have two blocks fewer than the row below it. How many blocks are in each row?
1 solutions
Answer 76589 by checkley75(3666) on 2007-10-19 21:41:32 (Show Source):
You can put this solution on YOUR website!3x+x-2+x-4+x-6+x-8+x-10+x-12=156
9x-42=156
9x=156+42
9x=198
x=198/9
x=22 is the number of blocks in the first 3 rows.
then you'll have:
20,18,16,14,12 & 10 in each successive row.
proof
3*22+20+18+16+14+12+10=156
66+90=156
156=156
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Radicals/105149: A bugger one for me!!!!!!!
Perform the indicated multiplication. Then simplify each radical expression.
-9-sqrt108
__________
3
1 solutions
Answer 76588 by checkley75(3666) on 2007-10-19 21:30:23 (Show Source):
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Quadratic_Equations/105195: Tutor if you could help me with this I would appreciate it. I need to find the table of values for y= -x^2 - 2x and for y = x^2 - 1. Thank you for your help.
1 solutions
Answer 76587 by checkley75(3666) on 2007-10-19 21:26:19 (Show Source):
You can put this solution on YOUR website!MAYBE GRAPHING THESE 2 EQUATIONS WOULD HELP:
Y=-2X^2-2X (RED CURVE)
Y=X^2-1 (GREEN CURVE)
 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = -2x^2 -2x and y = x^2 -1).
first equation:
x-----y
0-----0
1---(-4)
(-1)--0
3---(-24)
second equation
x-----y
0----(-1)
1-----0
(-1)--0
3-----8
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Linear_Algebra/105057: 45,500A company placed $1,000,000 in three different accounts. It placed part in short-term notes paying 4.5% per year, twice as much in government bonds paying 5%, and the rest in utility bonds paying 4%. The income after one year was $45,500. How much did the company place in each account?
1 solutions
Answer 76584 by checkley75(3666) on 2007-10-19 21:11:15 (Show Source):
You can put this solution on YOUR website!.045X+.05*2X+.04(1,000,000-3X)=45,500
.045X+.1X+40,000-.12X=45,500
.145X-.12X=45,500-40,000
.025X=5,500
X=5,500/.025
X=220,000 INVESTED IN 4.5% NOTES.
2*220,000=440,000 INVESTED IN 5% GOV. BONDS.
1,000,000-220,000-440,000=340,000 INVESTED IN UTILITY BONDS.
PROOF
.045*220,000+.05*440,000+.04*340,000=45,500
9,900+22,000+13,600=45,500
45,500=45,500
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Exponents/105217: i have been working on the problem and not figuring out where they got there answer if someone could explain it to me...... (3x+7)exponent of 2 outside of ()
1 solutions
Answer 76580 by checkley75(3666) on 2007-10-19 20:57:53 (Show Source):
You can put this solution on YOUR website!I DON'T TUTOR FOR PAY ON THIS SITE BUT I HAVE DONE SOME LOCAL TUTORING FOR A FEE. I'M NOT REALLY INTERESTED IN FEES BUT WILL HELP WHEN & WHEREVER I CAN.
KEEP USING THIS SITE AS IT HAS MANY SMARTER MATH PEOPLE THAN I AM.
GOOD LUCK!!!!!! : )
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(3X+7)^2=(3X+7)(3X+7) OR
3X+7
3X+7 NOW MULTIPLY USING THE FOIL PROCESS.
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9X^2+21X+21X+49
9X^2+42X+49
FOIL STANDS FOR FIRST, OUTER, INNER & LAST.
THIS IS THE ORDER TO MULTIPLY SO YOU DON'T MISS NOR ANY ONE TERM TWICE.
FIRST=(3X+7)(3X+7) 3X*3X=9X^2
OUTER=(3X+7)(3X+7) 3X*7=21X
INNER=(3X+7)(3X+7) 7*3X=21X
LAST=(3X+7)(3X+7) 7*7=49
THAT'S WHY YOU HAVE 2 (21X) TERMS DUE TO THE OUTER & THE INNER MULTIPLICATIONS.
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