15 Qs: number types, sets, simplifying, factoring, etc

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odie2992

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Jul 9, 2007
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I just need some help on a few questions.
It would be really cool if someone helped me on these 15 questions.
By the way, when you see this ^ that means the following number is an exponent.
Thank you so much. You have no idea how much this means to me!


1. The number -5/6 belongs to which set of numbers?
a. Z,Q,R,C
b. Q,R,C
c. I,Q,R,C
d. W,Z,Q,R,C

2. Given A={-2,-1,0,1,2,3,4,5,6,7} and B={-3,-1,0,3,5,6,8}, find A(upsidedownU)B
a. { }
b. {-3.-2,-1,0,1,2,3,4,5,6,7,8}
c. {-1,0,3,5,6}
d. {-1,0,1,3,5}

3. The second side of a triangle is 11 more meters than the first side. The third side is twice more than the first side. If the perimeter of the triangle is 63 meters, find the length of the second side.

4.Simplify -[-2(2-4)^2 / (-2)] / (- [square root of 36]) + (-3)(-2)

5. Use long division on this fraction (4x^3-2x+4-5x^2) over (x-3)
a. 4x^2+7x+19 Remainder of 61
b. 4x2 + 7x + 19 Remainder of 60
c. 3x2 + 7x + 19 Remainder of 61
d. 4x2 + 7x + 19x Remainder of 61

6. Factor 64z3 - 125w3

7. Find the slope of the line passing through the points (-8,5)(-2,-9).
a. -7/3
b. -2/3
c. -7/5
d. 7/3

8. Find the x and y intercepts of 8x - 6y = - 48.

9. Find the equation of the line passing through the two points:
(-7,-2)(9,-4).
a. y=-8x-54
b. y=-8x+4
c. y+=-2x-4
d. y= -1/8x-23/8

10. Find the equation of the line with an undefined slope and passing through the point (-4,6).

11. Solve the following system:

2x - 3y = - 5
5x - 7y = - 12

12. Find the distance between the points (16,1)(-4,-4).
a. 3(squareroot of 5)
b. 45
c. 5 (squareroot of 17)
d. 45 (squareroot of 5)

13.Car A leaves the cafe traveling at 20 mph. Car B leaves the cafe 5 hours later, and travels at 70 mph. If they are both headed in the same direction, how far from the cafe will they meet?

14. The Divine Chocolate Candy store want to make a new treat consisting of milk chocolate and hazelnuts. They want to make 8 pound boxes of this treat that sell for $4 per pound. If hazelnuts sell for $5 per pound and chocolate sells for $3 per pound, how pounds of hazelnuts must they mix to get their desired product?

15. Solve the following system:

12x + 9y = -54
6x - 2y = -40


:) Thank you again guys for your kind assistance :)
 
That looks like a nice review. How far have you gotten?
 
I know it's a lot but please help anyways! I tried to follow all the rules and write everything in the simplest way possible. This is really important to me!
 
It was part of a review that had like ummm (check paper) 68 questions and these were the ones I got stuck on. I'm trying to work them out but I don't quite get these.
 
Well, if we were here to do your homework or pass your tests for you, this would be a lovely opportunity. Too bad that's not our purpose. If you've been sleeping through class all semester and now require substantial review, I'm thinking you're toast, even if we do it for you. Sorry, you'll have to do MUCH better than that.
 
Here's help on #13. Just as an aside, you may want to show some work on these. To post a list of problems with no work shown tends to put some folks off.

The cars will meet when their distances are equal.

The 70 mph car leaves 5 hours later than the first.

\(\displaystyle \L\\70(t-5)=20t\)

Solve for t.


#6 is just the difference of two cubes.
 
I have been paying attention maam. I just get stuck every once in a while. I AM trying to do these by myself and I am not asking for the ANSWERS just the formula and such.
 
Okay, prove it.

#12 - You need the "Distance Formula". Look it up and write it here so I can see it. Tell me how you plan to use this formula to solve the problem.

From your other posts, one entitled "I want all the answers to my test," another stating how poorly your teacher treats you, I'm just not very encouraged by your efforts. I am pleased to have you surprise me.

In 68 problems, you managed 16-68 but couldn't get 1-15? I find that a little hard to believe. Haven't we played this game before?
 
Re: Please help me!!!!!!

odie2992 said:
11. Solve the following system:
2x - 3y = - 5
5x - 7y = - 12
Click to expand...
WHY can you not solve that?
Can you show how far you got?
Can you solve this one for x:
5x = 18 + 2x ??
 
Re: Please help me!!!!!!

Hello, Odie!

Are you really having trouble with ALL these problems?
. . You should talk to your teacher or get a tutor.

2. Given: \(\displaystyle \:A\:=\:\{-2,-1,0,1,2,3,4,5,6,7\},\;B\:=\:\{-3,-1,0,3,5,6,8\}\)

Find \(\displaystyle \:A\,\cap\,B\)

\(\displaystyle \;\;\;(a)\;\{\;\}\;\;\;(b)\;\{-3.-2,-1,0,1,2,3,4,5,6,7,8\}\;\;\;(c)\;\{-1,0,3,5,6\}\;\;\;(d)\;\{-1,0,1,3,5\}\)
Click to expand...

You're expected to know that \(\displaystyle \cap\) (intersection)
. . means the set of elements common to both sets.

Can you finish it now?


6. Factor: \(\displaystyle \: 64z^3\,-\,125w^3\)
Click to expand...

You're expected to know how to factor the difference of two cubes:
. . \(\displaystyle a^3\,-\,b^3\:=\:(a\,-\,b)(a^2\,+\,ab\,+\,b^2)\)

We have:\(\displaystyle \:64z^3\,-\,125w^3 \;=\;(4z)^3\,-\,(5w)^3\)

Answer: \(\displaystyle \:(4z\,-\,5w)(16z^2 + 20zw + 25w^2)\)


7. Find the slope of the line passing through the points (-8,5), (-2,-9).
. . \(\displaystyle (a)\;-\frac{7}{3}\;\;\;(b)\;-\frac{2}{3}\;\;\;(c)\;-\frac{7}{5}\;\;\;(d)\;\frac{7}{3}\)
Click to expand...

You don't know the Slope Formula ??

. . \(\displaystyle m \;=\;\frac{y_2\,-\,y_1}{x_2\,-\,x_1}\)

So we have: \(\displaystyle \:m \;=\;\frac{-9\,-\,5}{-2\,-\,(-8)} \;=\;\frac{-14}{6} \;=\;-\frac{7}{3}\)

 
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