Answer: A
Step-by-step explanation:
The solution to the inequality is x <= -5 and x>=-3 so A is correct
Answer:
1/4 ⋅ 12
Step-by-step explanation:
The oil company fills 1/12 of a tank in 1/4 hour (20 minutes) with gasoline.
1/4 ⋅ 12
(time) ⋅ (total tank size)
15,000
Since her interest is simple, it adds the 10% to the original amount.
So, we multiply her amount (10,000) by the interest rate (.1) and by the amount of years (5).
10,000 * .1 * 5= 5,000
This is how much she has gained from said interest. Adding this to 10,000 gives us 15,000, which is the amount she will have.
Another way to do this would be to make a chart/table:
Start: 10,000
1. 11,000
2. 12,000
3. 13,000
4. 14,000
5. 15,000
And thus, we get the same answer.
Answer:
132 games played.
Step-by-step explanation:
Let x be the
We have been given that in a baseball league consisting of 12 teams, each team plays each of the other teams twice.
Since there are 12 teams, so each team will play with
teams except itself.
The total number of games played would be 12 times
:



Therefore, there will be 132 games played.
Answer:
A = 1, B = 1
Step-by-step explanation:
From the question
(2x+1)/(x²+x) = A/x + B/(x+1)
(2x+1)/(x²+x) = [A(x+1)+(Bx)]/(x²+x)
Equation the numerator
2x+1 ≡ A(x+1) +Bx
2x+1 ≡ Ax+A+Bx
From the above,
A = 1.
And,
2x = Ax+Bx................ Equation 1
A+B = 2
Substitute the value of A into Equation 1
1+B = 2
B = 2-1
B = 1