Answer:
The end result is -1/(x + 1)
Step-by-step explanation:
In order to find the answer to this, we first need to factor the denominator. Since it is a quadratic, we try to find number that multiply to the last term (8) and add to the middle term (9). In this case, the numbers 8 and 1 would work. This allows us to use those numbers in parenthesis along with x as a fully factored form.
x^2 + 9x + 8 = (x + 1)(x + 8)
Now that we have this factored we can take the original equation and factor a -1 out of the top.
(-1)(x + 8)/(x + 1)(x + 8)
Since there is an (x + 8) on the top and bottom, we can cancel those.
-1/(x + 1)
Both mean to factor, I've never heard of a difference
For Question 3,
15 ?
__ = ____
120 100
120?=1500
1500/120=12.5
?=12.5%
Question 4
I think it is $462.80
Answer: 3H+4C<_ 30
The coefficients of the variables H and C represent the number of batteries each toy helicopter and each toy car uses.
Step-by-step explanation:
Each toy helicopter uses 3 batteries, and each toy car uses 4 batteries.
Now let's check whether Vugar has enough batteries for 5 toy helicopters and 4 toy cars. To do this, we substitute H=5 and C= 4 in the given inequality:
Does Vugar have enough batteries to play with 5 toy helicopters and 4 toy cars?
No, because if you plug in the value for H and C:
3H + 4C<_ 30
3(5) + 4(4) <_30
15 + 16 <_ 30
31 <_ 30; false
Since the inequality is false, Vugar does not have enough batteries to play with 555 toy helicopters and 444 toy cars.
Each toy helicopter uses 333 batteries, and each toy car uses 444 batteries.
No, Vugar does not have enough batteries to play with 555 toy helicopters and 444 toy cars.
Answer:
Step-by-step explanation:
From the question we are told that
Arc of 30 cm
10% reduction after each swing
Generally sum of geometric sequence is given by the equation
Mathematically solving for total distance traveled we have
Therefore the total distance traveled by the pendulum after 5 swings
