1.5 X -2.4 is greater than or equal to 6.6
1 answer:
You might be interested in
9514 1404 393
Answer:
1. asymptotes: x=-6, x=6, y=0; zero: x=0
2. 20 blue fish
Step-by-step explanation:
1. The vertical asymptotes are where the denominator is zero. It factors as (x-6)(x+6), so will have zeros at x=-6 and x=6.
The horizontal asymptote is at the limit when x goes to infinity. Here, the ratio of highest-degree terms is 6/x, so the value goes to zero as x gets large.
The zero is where the numerator is zero, at x=0.
In summary:
- vertical asymptotes: x = ±6
- horizontal asymptote: y = 0
- zero: (0, 0)
__
2. 60% are red, so 40% are blue. The difference in percentages is 60%-40% = 20%. The percentage of blue fish (40%) is twice the difference (=2×20%), so the number of blue fish is twice the difference in numbers.
blue fish = 2×10 = 20 fish
<em><u>Check</u></em>
There are then 20+10=30 red fish, so 20+30=50 fish total. Reds are 30/50 = 60% of the total.
<u><em>Additional comment</em></u>
I find it often works well to work with ratios, which I can often do in my head. Other folks like to see equations. Here, we could write equations like ...
r = 60%(r + b) . . . . reds are 60% of the total
r - b = 10 . . . . . . . . 10 more reds than blues
We want the value of b, so we can eliminate r by substituting for it:
r = 10 + b . . . . from the second equation above
(10 +b) = 0.60((10 +b) + b) . . . . substitute for r
10 +b = 6 + 1.2b . . . simplify
4 = 0.2b . . . . subtract b+6
20 = b . . . . . . multiply by 5 (there are 20 blue fish)
Answer:
Stephen's wife got £354 more than his son.
Step-by-step explanation:
Given:
Amount of Lottery = £2950
Now Given:
Stephen & Richard share a lottery amount in the ratio 2 : 3
Let the common factor between them be 'x'.
So we can say that;
Dividing both side by 5 we get;
So we can say that;
Stephen share would be =
Now Given:
Stephen then shares his part between himself, his wife & their son in the ratio 3 : 5 : 2.
Let the common factor between them be 'y'.
So we can say that;
Dividing both side by 10 we get;
So Stephen's wife share =
And Stephen's son share =
Now we need to find how much more her wife got then her son.
To find how much more her wife got than her son we will subtract Stephen's son share from Stephen's wife share.
framing in equation form we get;
Amount more her wife got than her son =
Hence Stephen's wife got £354 more than his son.
The answer to the question
