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Equations/149339: I have three different problems that I need help on.
The functions f (x) and g(x) = 3x - 2 and g (x) = 2x2. Compute the difference.
If I=PRT and A=P+I, then A =_________.
In two dimensions, the determinant of an ordered group of numbers a, b, c, and d is defined as: ad - bc. Compute the determinant when a, b, c, and d equal 3, -2, 9 and 4 respectively.
1 solutions
Answer 109562 by edjones(7569)   on 2008-07-23 00:38:13 (Show Source):
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Angles/149342: Find the measure of an angle such that the difference between the measure
of its supplement and 3 times the measure of the complement is 16 degrees.
1 solutions
Answer 109557 by edjones(7569) on 2008-07-22 23:58:40 (Show Source):
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Miscellaneous_Word_Problems/149341: A pipe is 48 inches long.Cut into three pieces so that the second piece is 1 inch less than the length of the third. The first piece is 5 times as long as the third.How long is each piece?
1 solutions
Answer 109556 by edjones(7569) on 2008-07-22 23:49:24 (Show Source):
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Polynomials-and-rational-expressions/149109: Factor completely
1)x^3-6x^2+11x-6 given that x-1 is a factor
2)x^2+6x+9=0
3)2x^2+5x-12=0
4)3x^3=12x
5)(2x-1)(3x+5)=5
1 solutions
Answer 109447 by edjones(7569) on 2008-07-22 02:29:18 (Show Source):
You can put this solution on YOUR website!1)
(x^3-6x^2+11x-6)/(x-1) Long division or synthetic division.
=x^2-5x+6
=(x-3)(x-2)
.
2)
x^2+6x+9=0
(x+3)^2=0
x=-3
.
3)
2x^2+5x-12=0
2*-12=-24... 8 and -3 are factors of -24 that when added equal 5.
2x^2+8x-3x-12=0
2x(x+4)-3(x+4)=0
(2x-3)(x+4)=0
2x=3
x=3/2
x=-4
.
4)
3x^3=12x
3x^3-12x=0
3x(x^2-4)=0
3x(x+2)(x-2)=0
x=0, x=-2, x=2
.
5)
(2x-1)(3x+5)=5
6x^2+7x-5=5
6x^2+7x-10=0
6*-10=-60... 12 and -5 are factors of -60 whose sum is 7.
6x^2+12x-5x-10=0
6x(x+2)-5(x+2)=0
(6x-5)(x+2)=0
6x=5
x=5/6
x=-2
.
Ed
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Linear_Equations_And_Systems_Word_Problems/149183: This question is from textbook
Hi i need exactly step by step solution in this word problem,and check it.thanks
If the numerator and the denominator of a fraction are increased by 3,the resulting fractions is 3/4.But if the terms of the fractions are decreased by 2,the new fractions is 1/3.Find original fraction.
1 solutions
Answer 109442 by edjones(7569) on 2008-07-22 01:51:44 (Show Source):
You can put this solution on YOUR website!Let n=the numerator, d=the denominator.
A) (n+3)/(d+3)=3/4
B) (n-2)/(d-2)=1/3
.
A)
4(n+3)=3(d+3) Multiply each side by the LCM.
4n+12=3d+9
4n-3d=-3
B)
3(n-2)=d-2
3n-6=d-2
3n-d=4
-d=-3n+4
d=3n-4
A)
4n-3(3n-4)=-3
4n-9n+12=-3
-5n=-15
n=3
d=5
3/5=the fraction
.
Ed
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Travel_Word_Problems/149180: I found a very similar problem to this one but when I went through all the steps the answer came out negative and Im pretty sure you cant have a negative speed?
Alvin paddled for 4 hours with a 6km/h current to reach a campsite. The return trip against the current took 10 hours. Find the speed of Alvin's canoe in still water.
1 solutions
Answer 109438 by edjones(7569) on 2008-07-22 00:56:28 (Show Source):
You can put this solution on YOUR website!st=d, s=speed in still water, t=time, d=distance
4(s+6)=d
10(s-6)=d
4(s+6)=10(s-6)
4s+24=10s-60
84=6s
s=14 km/h in still water.
.
Ed
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Linear_Equations_And_Systems_Word_Problems/149174: This question is from textbook
hi, i need exactly step by step solution in this word problem.thanks
Five times the difference of two numbers is 6 less than twice their sum.Twice the first number added to one.third of the second number is 11.Find the numbers.
1 solutions
Answer 109435 by edjones(7569) on 2008-07-22 00:41:08 (Show Source):
You can put this solution on YOUR website!A) 5(x-y)=2(x+y)-6
B) 2x + y/3 = 11
.
A)
Let x be the 1st number, y the 2nd.
5x-5y=2x+2y-6
3x-7y=-6
B)
6x+y=33
y=-6x+33
.
A)
3x-7(-6x+33)=-6
3x+42x-231=-6
45x=225
x=5
.
B)
y=-6*5 +33
=-30+33
=3
.
Ed
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Circles/149138: What is the area enclosed by a circular sector whose radius is r and arc length is s.
1 solutions
Answer 109399 by edjones(7569) on 2008-07-21 19:44:20 (Show Source):
You can put this solution on YOUR website!pi*r^2=A (circle)
pi*2r=C (circle)
C/s=2pi radians/s [s is in radians]
A {circle}*(s/(2pi radians))=A {enclosed by the circular sector}
.
Ed
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Geometric_formulas/148866: This question is from textbook
For a holiday party, Marcus is making a nine-layer torte, which consists of nine 8-inch diamer cake layers with a cream topping on each layer. He knows that one receipe of cream will cover 54 square inches of cake. How many batches of topping must he make to complete his torte(Use 3.14 as an approximate value)
Could you please start me off with how i would set this problem up? Please don't give me the answer. Thank you
1 solutions
Answer 109209 by edjones(7569) on 2008-07-20 00:59:20 (Show Source):
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Triangles/148429: The vertices of a triangle lie in a coordinate plane at (2,1),(2,4),and (6,1)
What is the area of the triangle.
1 solutions
Answer 108787 by edjones(7569) on 2008-07-15 23:47:07 (Show Source):
You can put this solution on YOUR website!I you plot the vertices on graph paper you will see a right triangle with one side 3 units and the other 4.
ab/2=A
3*4/2=6 units^2
.
Ed
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Polynomials-and-rational-expressions/148402: How do I write a formula to evaluate the polynomial at the points x = -2 and y= -3 for the following 1-x^2y+6xy^2-x^3y^3+12y^5
Your help is greatly appreciated!!
1 solutions
Answer 108786 by edjones(7569) on 2008-07-15 23:35:38 (Show Source):
You can put this solution on YOUR website!1-x^2y+6xy^2-x^3y^3+12y^5 when x=-2, y=-3
1-(-2)^2*-3 +6(-2)(-3)^2 -(-2)^3*(-3)^3 +12(-3)^5
=1-(4)(-3) +6(-2)(9) -(-8)(-27) +12(-243)
=1-(-12)+6(-18)-(216)-2916
=13-108-216-2916
=-3227
.
Ed
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Numbers_Word_Problems/148437: the sum of the squares of two consecutive even integers is 52. what are the integers? I believe the answers is 4^2 and 6^2 but I can't figure out how to write an equation to show how I figured it out, Please help!!!
1 solutions
Answer 108784 by edjones(7569) on 2008-07-15 23:03:57 (Show Source):
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Equations/148285: one canned juice drink is 15% orange juice another is 10% orange juice, How many liters of each should be mixed together in order to get 5L that is 12% orange juice
1 solutions
Answer 108692 by edjones(7569) on 2008-07-14 22:36:09 (Show Source):
You can put this solution on YOUR website!Let x= the liters of 10% OJ
.
Ltrs== %Soln==L OJ
==x=== .10 ==.1x
5-x ==.15===.15(5-x)
==5 ===.12===.6
.
.1x+.15(5-x)=.6
.1x+.75-.15x=.6
-.05x=-.15
x=3 L of 10% OJ
5-3=2 L of 15% OJ
.
Ed
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Numeric_Fractions/148288: Which are likely to be independent events? For those you think are not, suggest reason why.
a. Gender of two consecutive babies born in a hospital.
b. Car accident rates and the driver’s gender.
c. Phone call arrival rates at a university admissions office and time of day.
1 solutions
Answer 108690 by edjones(7569) on 2008-07-14 22:11:15 (Show Source):
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test/148186: Hi, I am really stuck on this question. Can someone help me please??
A secretary periodically checks to see how many of the three lines into the office are busy. her finding for one week were the following.
No. lines busy Frequency
0 20
1 65
2 25
3 10
Let the random variable X be the number of lines busy. Find the probability distribution of X.
1 solutions
Answer 108625 by edjones(7569) on 2008-07-14 13:14:39 (Show Source):
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Travel_Word_Problems/148189: A consumer's group checked the gasoline mileage (to the nearest mile per gallon) on 25 different cars. The following gives a summary of the findings.
Miles per gallon Frequency
Less than 15 2
16-20 4
21-30 13
31-40 5
Over 40 1
Which of the following quantities can be obtained from the table?
a.The number of cars that got over 30 miles per gallon.
b.The number of cars that got less than 10 miles per gallon.
c.The number of cars that got 30 miles per gallon.
d.The number of cars that got 20-30 miles per gallon.
1 solutions
Answer 108624 by edjones(7569) on 2008-07-14 12:54:59 (Show Source):
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