Answer:
9pr = 2q^2
Step-by-step explanation:
28.
px^2 + qx + r = 0
If one root is A then the other root is 2A
We have A + 2A = -q/p and A*2A = r/p
So 3A = -q/p so A = -q/3p and A^2 = r/2p so A = √ (r / 2p)
Equating these 2 equations:-
-q/3p = √(r / 2p)
q^2 / 9p^2 = r / 2p
9p^2r = 2pq^2
9pr = 2q^2 (answer)
Answer: x=9
Step-by-step explanation:
7x=2x+45
5x=45
x=9
Answer:
See below.
Step-by-step explanation:
a.
Divide the leading terms:
6x^4 / 2x^2 = 3x^2
3x2 is a parabola so the long run is
as x ---> +/- infinity r(x) ----> + infinity. (answer).
b.
10,000x^3 / 50 x^3
= 200.
So r(x) as a horizontal asymptote at y ( r(x)) = 200. (answer).
Answer:
12/16 and 5/16
Step-by-step explanation:
We are given two fractions with denominator 4 and 16.
To find the least common denominator, of 4 and 16.
Factorise 4 and 16.
4 = 2x2
16 = 2x2x2x2
i.e. 4 divides 16.
Hence Least common denominator = bigger number = 16
Make the given fractions to equivalent fractions with common denominator 16.
3/4 = 4(3)/4(4) = 12/16 and
5/16 = 1(5)/16(1)= 5/16
Hence answer would be
12/16 and 5/16