Answer:
Step-by-step explanation:
I dont quite understand the problem but this is one way to solve it using completing the square:-
2x^2 + 8x - 12 = 0
2(x^2 + 4x) - 12 = 0
2((x + 2)^2 - 4) = 12
2(x + 2)^2 - 8 + 8 = 12 + 8
2(x + 2)^2 = 20
Answer:
The ratio between won and lost is 
Step-by-step explanation:
<u><em>The question in English is</em></u>
A table tennis team won 21 games and lost 12 games, what is the ratio between won and lost?
Let
x ------> the number of games won
y -----> the number of games lost
we have


we know that
To find the ratio divide the number of games won by the number of games lost
so

substitute the values

Simplify

Answer:
1222 billion dollars.
Step-by-step explanation:
To find the total increase from 1960 to 2010, we need to find the growth of each decade and sum them all:
In the period 1960-1970, we have x = 1, and the growth is:

In the period 1970-1980, we have x = 2, and the growth is:

The growth in the following 3 periods are:



So the total growth in the period 1960 - 2010 is:



Rounding to the nearest billion dollars, we have a total of 1222 billion dollars.
Answer:
b is 125
Step-by-step explanation:
Answer:
12 black beads
Step-by-step explanation:
Given the ration of gold beads to black beads on the short necklace:

Since the ratio of 4:1 has 5 total parts, you can take the total amount of beads in the long necklace and divide by 5:
60 ÷ 5 = 12
12 beads represents 1 part of the ratio, so that would be the number of black beads. To check, multiply 12 by 4: 12 x 4 = 48, and set up a ratio:
48: 12 = 4: 1