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scott8148 answered: 6619 problems
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1. Factor 9x^2-64 completely.
(9x-8)(x+8)
2. Factor x^2-18x-144
x(x-180)-144
3. Solve 3x(x-5)(3x+5)=0
(0,5,-5/3)
4. Factor x^2+12x+27 completely
(x+3)(x+9)
5. Solve (3x-7)(x+2)=0
(7/3,-2)
6.) Solve 2x(x+4)(4x-9)=0
(0,-4,9/4)
For problems 7-9 the length of the rectangle is 3 inches more than its width.
7. Write an equation for the area of the rectangle in terms of width, w.
A=w^2+3
8. If the area of the rectangle is 180 square inches, write an equation for the above situation.
180=w^2+3
9. Write an equation for the situation above by multiplying the factors together and setting the equation equal to zero.
w^2+3-180=0
10. What are the factors of the equation w^2+3w-180
(w+15)(w-12)
For the problems 11-13 a projectile is fired upward with an initial speed of 800 feet per second. It is given that h=-16t^2+800t (h is the height of the ball)
11. Factor the given equation completely
h=(-16t)(t-50)
12. What will you set h equal to in the equation to find how many seconds it takes for the projectile to hit the ground
h=0
13. Find how many seconds before the projectile hits the ground. Let Yv1=-16t^2+800t
50 seconds
For problems 14-16 the equation d=.05^2+r models the distance, d , in feet traveled by a car moving r miles per hour after the driver begins to stop the car.
14. Factor the equation d=.05^2+r
d=r(.05+1)
15. What is the domain of the situation above?
All positive integers
16. If the distance the car traveled after applying the brakes equals 20 feet, what does that mean to the officer investigating the accident? (HINT: let d=20, bring 20 to the right so that the equation equals zero, identify the coefficients A,B, and C and then use the quadratic formula to solve)
The car was going about 32.36 miles per hour
For problems 17-18 the height, h, of the ball t seconds after it is released for a jump shot in a basketball game can be modeled with the equation h=-16t^2+12t+8.
17. The rim of the basket is 10 feet high. What is the correct way to set up the problem to solve when the ball reaches this height?
10=-16t^2+12t+8
18. State the number of solutions to the problem and state if the ball has a chance of going into the basket.
There are 2 solutions, meaning 2 times when the ball is 10 ft high. the time that the ball reaches 10 feet on its way up and on its way down. One of these times will be the balls opportunity to pass through the hoop.
1 solutions
Answer 357726 by scott8148(6628)   on 2011-12-20 18:30:17 (Show Source):
You can put this solution on YOUR website!1, 2, 7, 8(because of 7), 9 ___ see 10 for hint for 7, 8, and 9
14-16 are unclear...
17 should probably be ___ 0 = -16t^2 + 12t - 2
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Linear-equations/548755: find the equation (in any correct form) of a straight line through (-5,2) which is perpendicular to the line whose equation is 4x+7y=9
1 solutions
Answer 357719 by scott8148(6628) on 2011-12-20 18:12:23 (Show Source):
You can put this solution on YOUR website!to find a perpendicular line; swap the x and y coefficients and change one of the signs
___ substitute the given point to find the new constant term
7x - 4y = ? ___ 7(-5) - 4(2) = -43
7x - 4y = -43
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Rate-of-work-word-problems/549376: It takes you 4 days to paint a house if you paint for eight hours a day. It takes your brother 5 days. How long would it take you to pain the house together? Answers should be in days, hours, minutes form.
Please show the work, I have the answer but don't know how to figure it out.
1 solutions
Answer 357706 by scott8148(6628) on 2011-12-20 16:41:52 (Show Source):
You can put this solution on YOUR website!working in hours is probably easiest
each person paints a FRACTION of the house based on their individual time and the combined time (t)
___ the fractions sum to one (the WHOLE house)
[t / (4*8)] + [t / (5*8)] = 1
5t + 4t = 160 ___ t = 160/9 hours
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Inequalities/549078: The highest elevation in North America is 20,320 feet above sea level at Mount McKinely. The lowest elevation is 282 feet below sea level in Death Valley. I need to find an absolute value equation that has the highest and lowest elevations in North America as its solution.
Here's what I've already tried doing: 20,320 + b = c and -282 + b = c
Here's where I'm stuck- I think that this is the right way to start solving this equation, but I'm not sure how to solve it from here, or how to convert it into an absolute value equation.
1 solutions
Answer 357505 by scott8148(6628) on 2011-12-19 18:41:26 (Show Source):
You can put this solution on YOUR website!good so far
the two elevations are 20,602 units apart
___ half of that is 10,301; and the midpoint elevation (halfway between) is 10,019
in your setup; b is the midpoint (negative), and c is half the distance
abs(x - 10019) = 10301
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Permutations/548056: in how many ways can nine students be seated in a row containing nine desks if two students must not be seated next to each other? my thinking is 9!2! because u have 9 students but 2 of them have a stipulation ...
1 solutions
Answer 357001 by scott8148(6628) on 2011-12-17 14:22:10 (Show Source):
You can put this solution on YOUR website!there are 9! ways with no stipulation
if you view the pair as a unit; there are 8 positions for the pair,
___ times 2 for the arrangement of the pair,
___ times 7! for the arrangement of the other students
9! - [(8)(2)(7!)] ___ 9! - [(8!)(2)] ___ [(9)(8!)] - [(2)(8!)] ___ (7)(8!)
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Polynomials-and-rational-expressions/548051: I am having extreme troubles solving this math problem
Part IV: Using Exponential Functions
a. Investing is an important topic for individuals in all areas. Suppose you wish to invest $10,000 in a money market account that earns 4% interest compounded annually. How much would the investment be worth after 10 years? Show all calculations.
b. Now, suppose that the above investment earns interest compounded quarterly. How much would the same investment be worth after 10 years? Why does the result differ from the previous one?
1 solutions
Answer 356998 by scott8148(6628) on 2011-12-17 14:04:24 (Show Source):
You can put this solution on YOUR website!a.) x = (10,000)(1 + .04)^10
b.) x = (10,000)(1 + .01)^40
even though the annual rate is the same, the increased number of compoundings allow the "interest on the interest" to accumulate quicker
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Rectangles/548043: I been out of school for over 20 years and need help with a homework question.
A rug is shaped like a rectangle whose perimeter is 78 ft. The length is 2 times as long as the width. Find the length and the width.
1 solutions
Answer 356995 by scott8148(6628) on 2011-12-17 13:53:40 (Show Source):
You can put this solution on YOUR website!perimeter (the distance around) is two lengths plus two widths ___ P = 2L + 2W
for this rug ___ "The length is 2 times as long as the width" ___ L = 2W
since they are equal, you can substitute L for 2W in the perimeter equation
P = 2L + (L) ___ 78 = 3L ___ L = 26
substituting 26 for L ___ (26) = 2W ___ 13 = W
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Percentage-and-ratio-word-problems/548016: Twenty-four tropical fish are on sale, some selling for $6 each and the rest selling for $10 each. Anyone buying all the cheaper fish would spend as much as anyone buying all the more expensive fish. How many cheaper fish are on sale?
1 solutions
Answer 356994 by scott8148(6628) on 2011-12-17 13:42:38 (Show Source):
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Systems-of-equations/547576: Mark has one less than twice the number of CD''s PHillip has. Together they have 65 CD'S. How many CD's does each boy have?"
I need to show my work on this one. I have a similar problem that I have the answer to. I worked it up and missed one step. This one my mother knows the answer, but not how to put it in algebra form.
Thank you for your time, VJ (and his mom)
PS: I'm in 8th grade.
1 solutions
Answer 356659 by scott8148(6628) on 2011-12-15 17:08:55 (Show Source):
You can put this solution on YOUR website!parents stick together...
"Mark has one less than twice the number of CD''s PHillip has" ___ m = 2p - 1
"Together they have 65 CD'S" ___ m + p = 65
subtracting the 1st eqn from the 2nd eqn ___ m + p - m = 65 - (2p - 1)
p = 66 - 2p ___ 3p = 66
substitute back to find m
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Travel_Word_Problems/547482: A pilot in an airplane flying at 25,000 ft sees two towns directly ahead of her in a straight line. The angles of the depression to the towns are 25 degrees and 50 degrees, respectively. To the nearest foot, how far apart are the towns?
The answer is 32,635 ft but I'm not sure how to get that. Thank you.
1 solutions
Answer 356644 by scott8148(6628) on 2011-12-15 15:25:33 (Show Source):
You can put this solution on YOUR website!the distance to an object is the altitude divided by the tangent of the angle of depression
find the distances to the towns and then subtract to find the distance between them
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Age_Word_Problems/547390: Will you please help me solve this problem? i have tried, but i just cannot figure out how to do it. It is on my semester exam study guide. here is the problem: John is 3 times as old as Beth. The sum of their ages is 36. How old is John.
i have put it in a table to clean my work up, and i made john equal X. and then i got to X=3x. i cannot figure out the rest. your help would be appreciated. thank you.
1 solutions
Answer 356378 by scott8148(6628) on 2011-12-14 17:14:21 (Show Source):
You can put this solution on YOUR website!"John is 3 times as old as Beth" ___ j = 3b
"The sum of their ages is 36" ___ j + b = 36 ___ 3j + 3b = 108
substituting j for 3b ___ 3j + (j) = 108 ___ 4j = 108
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Numbers_Word_Problems/546776: Factor the Polynomial:
3x^2-14x-5
I have tried to find the two sets of numbers that will give me the sum of 14 and the product of 15 but I just cant figure it out.
1 solutions
Answer 356091 by scott8148(6628) on 2011-12-13 17:17:10 (Show Source):
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Trigonometry-basics/546665: State the reference angel associated with each rotation, then find the associated point (x,y) on the unit circle. Express non-integer values in the answer as reduced fractions, if necessary.
theta = 5pi/3
5pi/3 is in which quadrant?
so the point is ?
1 solutions
Answer 356073 by scott8148(6628) on 2011-12-13 15:29:54 (Show Source):
You can put this solution on YOUR website!2pi is a full circle ___ 2 = 6/3 ___ so 5pi/3 is 5/6 of a circle or 300º ___ quadrant IV ___ this is a 60º reference angle
x = cos(-60º) ___ y = sin(-60º)
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logarithm/546661: Using the approximate values: log(underscore 5) (6)= 1.1 and log(underscore 5) (10) = 1.4, find: Log(underscore 5) (1000). Also, log(underscore 5) (5) = 1.
Example: Using those values, find log(underscore 5) (30). The answer would be log(underscore 5) (5 * 6) which is log(underscore 5) (5) plus log(underscore 5) 6 which is 1 + 1.1 which equals 2.1
I dont know how to get 1000 out of those values.
1 solutions
Answer 356071 by scott8148(6628) on 2011-12-13 15:21:13 (Show Source):
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Proportions/546660: Could someone please help with this problem? It is a question on my homework assignment that doesn't have any examples in our book and I have no idea how to do it.
The ratio of a side length of triangle A to a corresponding side length of triangle B is 5:8. Triangle A has a side length of 18 centimeters. Find the corresponding side length of triangle B.
1 solutions
Answer 356070 by scott8148(6628) on 2011-12-13 15:19:10 (Show Source):
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Money_Word_Problems/546168: Please help me with this question. Our school does not provide books so this is all I got.
DeShawn's school is selling tickets to a choral performance. On the first day of tickets sales the school sold 4 Adult tickets and 11 child tickets for a total of $65. The school took in $142 on the second day by selling 14 adult tickets and 10 child tickets. Find the price of an adult ticket and the price of a child ticket.
So I figured:
4A + 11B = 65
and
14A + 10B = 142
Can you help me from here?
Thanks in advance.
Jenny
1 solutions
Answer 355897 by scott8148(6628) on 2011-12-12 18:45:42 (Show Source):
You can put this solution on YOUR website!good so far...
multiplying 1st eqn by -7 ___ -28A - 77B = -455
multiplying 2nd eqn by 2 ___ 28A + 20B = 284
add the two eqns to eliminate A; then solve for B and substitute back to find A
the choice of multipliers is based on the common factors of the coefficients of the eliminated terms
___ factors of 4, 2 and 2
___ factors of 14, 2 and 7
___ ignore the common factor 2's and use the 2 and 7; changing one sign to enable elimination
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Rectangles/546157: How do you get a perimeter of 21 with and area of 5 units squared thank you :D
1 solutions
Answer 355895 by scott8148(6628) on 2011-12-12 18:34:18 (Show Source):
You can put this solution on YOUR website!2x + 2y = 21
xy = 5 ___ x = 5/y
2(5/y) + 2y = 21
multiplying by y ___ 10 + 2y^2 = 21y ___ 2y^2 - 21y + 10 = 0
factoring ___ (2y - 1)(y - 10) = 0
1/2 and 10 are the width and length
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Human-and-algebraic-language/546129: Since my unle's farmyard appeared to be overrun with chickens and dogs, I asked him how many of each he had. Being a puzzler a s well as a farmer, my uncle replied that his dogs and chickens had a total of 148 legs and 60 heads. How many chickens does my uncle have?
1 solutions
Answer 355894 by scott8148(6628) on 2011-12-12 18:27:58 (Show Source):
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Distributive-associative-commutative-properties/546103: Hi , My Name Is Rakiya I need help with my math homework please.
I am working o Factoring Trinomials 2x( to the 2nd power)+9+7
1 solutions
Answer 355888 by scott8148(6628) on 2011-12-12 18:17:07 (Show Source):
You can put this solution on YOUR website!2x^2 + 9x + 7
the factors of 2 (2 and 1) are multiplied by the factors of 7 (7 and 1); and the products are added to get 9
(2 * 1) + (7 * 1) = 9
(2x + 7)(x + 1)
you might want to check out the "British method" at this site ___ http://www.gradeamathhelp.com/how-to-factor-polynomials.html
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