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i have another set of...
i have another set of questions but i need to send it as an attachment to you.
Submitted: 8 years ago.Category: Math Homework
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6/16/2010
Math Tutor or Teacher: Emanuel, Bachelor's Degree replied 8 years ago
Emanuel
Emanuel, Bachelor's Degree
Category: Math Homework
Satisfied Customers: 614
Experience: Aerospace engineer, expert in Maths and Physics
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Hello, you can upload the file on www.mediafire.com and post the link here

Emanuel
Ask Your Own Math Homework Question
Customer reply replied 8 years ago
http://www.mediafire.com/?y5znyg1leur
Math Tutor or Teacher: Emanuel, Bachelor's Degree replied 8 years ago
1. 7x²y²(2x²y^5 - 3x³ -5y)

2. x^8 + x^4 + x^4 + 1 =
=x^4(x^4+1)+x^4+1=
=(x^4+1)*(x^4+1)=
=(x^4+1)²

3. x² - 45x + 450 =
= (x-15)(x-30)

4. -p^4 + 12p³ - 35p²=
= -p²(p²-12p+35) =
= -p²(p-7)(p-5)

5. Factor completely.
u² - 2uv - 8v² =
= u² - 2uv - 8v² =
= u² - 2uv + v² - 9v² =
= (u-v)²-9v² =
= (u-4v)(u+2v)

6. Factor completely.
8x^4 - 18x³ + 9x² =
=x²(8x²-18x+9)=
=x²(2x-3)(4x-3)

7. Factor completely.
49y^4 - 81 =
=(7x²-9)(7x²+9)

8. Factor completely.
18a^4 - 18=
=18(a^4 - 1)=
=18(a²-1)(a²+1)=
=18(a-1)(a+1)(a²+1)

9. Factor completely.
5y³ - 30y² + 45y=
=5y(y²-6y+9)=
=5y(y-3)²

10. Factor completely.
25m² - 80mn + 64n²=
=(5m-8n)²

11. Solve by factoring and using the principle of zero products.
2x² - 20x = 0
2x(x-10)=0
2x=0 --> x=0
x-10=0 --> x=10

12. Solve by factoring and using the principle of zero products.
(x + 4)(x - 1) = 24
x²+3x-28=0
(x+7)(x-4)=0
x=-7, x=+4

13. Solve using the five-step problem-solving process. Show all steps necessary to arrive at your solution.
A rectangular rug is 3 feet longer than it is wide. If the area of the rug is 40 square feet, find the length and the width.
1) We know that the shape is rectangular, the length is 3 more than the width and that the area is 40
2) we want to find length and width
3) we can indicate the length with L, the width with W, and write what we know as equations:
L=W+3
L*W=40
4) solve the equations:
L=W+3
(W+3)*W=40
W²+3W-40=0
(W-5)(W+8)=0
W=5 or W=-8
the width must be positive, so W=5, L=W+3=8
5) check the solution:
L=W+3 --> 8=5+3 --> 8=8
L*W=8*5=40

14. Solve using the five-step problem-solving process. Show all steps necessary to arrive at your solution.
A mirror 2 feet by 6 feet is to be mounted on a door so that there is a uniform edge between the mirror and the door all around the mirror. How wide will the edge between the mirror and the door be if the area of the edge is 9 square feet?
1) We know that the shape is rectangular, the height is 6, the width is 2; the edge must be uniform and that the area of the edge is 9
2) we want to find the width of the edge
3) we can indicate width of the edge with x, find the area of the mirror, find the area of the mirror+edge: the difference between these areas must be 9
H(mirror+edge)=x+6+x=6+2x
W(mirror+edge)=x+2+x=2+2x
A1=2*6=12
A2=(2x+6)(2x+2)=4x²+16x+12
A2-A1=4x²+16x+12-12=9
4) solve the equation:
4x²+16x-9=0
x=[-8+-sqrt(64+36)]/4
x=(-8+-10)/4
x=-4, x=1/2
x must be positive, so the solution is 1/2
5) check the solution:
H'=6+1/2+1/2=7
W'=2+1/2+1/2=3
A2=7*3=21
A2-A1=21-12=9

15. Solve using the five-step problem-solving process. Show all steps necessary to arrive at your solution.
A diver jumps from a 48 foot cliff into the ocean below with an initial velocity of 8 ft/sec. The height of the diver from the ocean after t sec is given by h = -16t2 + 8t + 48. When does the diver hit the water?
1) We know the initial height and velocity of the diver, and the equation giving its height according to the time
2) we want to find the time when the diver hits the water
3) when the diver hits the water, its height is 0: we can use the equation we have and find when it equals 0
h = -16t² + 8t + 48
4) solve the equation:
-16t² + 8t + 48 = 0
2t²-t-6=0
t=[1+-sqrt(1+48)]/4
t=(1+-7)/4
t=-3/2, t=2
the time can't be negative, so t=2 is the solution
5) check the solution:
h(2)=-16*4+8*2+48=-64+16+48=0

Emanuel
Ask Your Own Math Homework Question
Customer reply replied 8 years ago

i'm sorry that was not the right link. here is the right link

 

http://www.mediafire.com/?ztcnjr5jztv

 

Also these 3 problems

 

1) 7x-60+x^2

 

2) 220y+60y^2-225

 

3) 6a^2b^3+12a^3b^2-3a^4b^2

Math Tutor or Teacher: Emanuel, Bachelor's Degree replied 8 years ago
1. List all numbers for which the rational expression is undefined.
3

2. The coefficient in the denominator is 6 or 8?
If it's 6: [16(u^4)(z²)]/3
If it's 8: 4(u^4)(z²)

3. (x+8)/(x-8)

4. (t²+4)/(t+2)

5. (12x^4)/(5y³)

6. [x²(x-1)]/9

7. (3x^9)/(5y^5)

8. (2x+3)/(x+4)

9. (z-4)/z

10. (3x-4)/19

11. 7y

12. x : 1.51 = 31.05 : (31.05-20.70)
x : 1.51 = 31.05 : 10.35
x= (1.51*31.05)/10.35 = 4.53

*************
I assume you want to find the solutions to the first 2:

1) 7x-60+x²=0

x²+7x-60=0

(x+12)(x-5)=0

x=-12, or x=+5

 

2) 220y+60y²-225=0

5(12y²+44y-45)=0

12y²+44y-45=0

y=[-22±√(22²+12*45)]/12=[-22±√(1024)]/12=[-22±32]/12

y=-9/2, or y=5/6

5(2y+9)(6y-5)=0

 

3) 6a²b³+12a³b²-3(a^4)b²

3a²b²(2b+4a-3a²)


Emanuel
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