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The other root of the quadratic will be the conjugat of the given root...your polynomila will look like this:

(x - (3 + sqrt 7)) * (x-(3-sqrt 7))

= x^2    - 3x  + x sqrt 7     -3x    +9  - 3 sqrt 7  - sqrt 7x + 3 sqrt 7 - 7

= x^2 -6x +2         Now I think YOU can put in x = 2    to find the value in the numerator of your question

                               then put in x = 3 for the denominator.....   Let me know what you find !

Why is this off-topic? 

Just curious.

nvm you fixed it.

Great Solution, Guest!

yeah, your right...

Roosters dont lay eggs...

(a) Sea level is \(0\), therefore the elevation of city (A) is \(-96\), and the elevation of city (C) is \(-24\). For this part we do not need the elevation of city (A). The elevation of city (D) is \(\frac{1}{4}\) of city (C). The key word is OF! Of means to multiply. Therefore we have the expression\(-24\cdot\frac{1}{4}\).

(b) Part b is fairly simple. All you have to do is compute \(-24\cdot\frac{1}{4}=-6\). As for explaining why it's negative we go back to how a negative times a positive is a negative. 

This wasn't a very challenging problem. Are you sure you couldn't have solved it?

-\(\pi\)   KeyLimePi

https://web2.0calc.com/questions/please-help-1-thank-you

deleted.......

(6x+4)(15x-?)

90x^2 + 60x -? 6x  - ? 4

If ? = 10

this becomes

90x^2 -40

Post your attempt at solving it, then someone will tutor you.  This is not difficult.  

Now that you’ve responded, I can see that you should take EP’s advice, and play the “chicken” game.

What you do is run in front of trucks and busses as they approach. The closer they get before you jump out of the way the more points you get. It’s really fun! I bet you would be good at it! If you lose, the trucking or buss company will give your mom a pile of money for running over you. I think your mom will be happy having the pile of money and being rid of you.

This is probably the best option for you (and your mom). 

I dont get were you put a part A or a Part B EP I need help on this question! 

5 through 100   (I think)    so  96 consecutive

  bearing = arctan (y/x) = 177.1 degrees

If the number ends in 24   44  52  56  64  72  76   it is divisible by 4  (throw out 44 ....can only use number onece) so 6 choices

Then the first number can be one of the other 5    i.e.  3 choices

  the second number then can be    one of 2   choices

6 x 3 x 2 = 36 possibles

No, it shouldn't have taken you that long! If you had made a list of the 2 ending digits that are divisible by 4, you should have been able to arrange them by hand in a matter of a few minutes. Here are the 2-digit endings divisible by 4: 24, 52, 56, 64, 72, 76. As you can see, there are only 6 of them. Each one of these 6 has 6 combinations with the remaining digits, so that: 6 x 6 = 36

8d +7r =13.60

7d +8r = 13.40    subtract second equation from first equation

d - r = .20

After a slight re-arrangement, the congruences look like this:
x mod 2 = 1
x mod 9 = 6
x mod 25 = 17
Using "Chinese remainder theorem" + "Modular multiplicative inverse", which are included in this short computer code:
 x = 450 m +  267,where m=0, 1, 2, 3......etc.
i=0;j=0;m=0;t=0;a=(2 9, 25);r= (1, 6, 17);c=lcm(a); d=c / a[i];n=d % a[i] ;loop1:m++; if(n*m % a[i] ==1, goto loop, goto loop1);loop:s=(c/a[i]*r[j]*m);i++;j++;t=t+s;m=0;if(i< count a, goto4,m=m);printc,"m + ",t % c;return.
So, the smallest 4-digit value for x =[450 x 2] + 267 =1,167.

Denoting the distance between the origin and the parabola by s,

\(\displaystyle s^{2}=x^{2}+y^{2}=x^{2}+\frac{1}{2}(x^{2}-3)^{2} \\ =x^{2}+\frac{1}{2}(x^{4}-6x^{2}+9) \\ = \frac{1}{2}(2x^{2}+x^{4}-6x^{2}+9) \\ =\frac{1}{2}(x^{4}-4x^{2}+9) \\ =\frac{1}{2}\{(x^{2}-2)^{2}+5\}.\)

Since \(\displaystyle (x^{2}-2) \ge0,\)

it follows that the least value of s^2 will be 5/2, in which case the least value of s will be sqrt(5/2) and that that happens when x^2 - 2 = 0,

ie. when x = sqrt(2).