A number=x
2x/6=42
2x=252 by multiplying both sides by 6
x=126 by dividing both sides by 2 to isolate the variable
Answer:
Step-by-step explanation:
Notice that the series: 1 - 3 + 9 - 27 +... clearly has powers of the factor 3 in its terms and it is also an alternate series (the terms alternate from positive to negative). The terms are positive for 
(even terms) , while the odd terms 
are negative. (so most likely there should be a factor (-1) in the common ratio.
We can then represent it with the following summation expression:
given that each of its first four terms are:
Answer:
1 / 9
Step-by-step explanation:
P(Green) = 5 / 10
P(Blue) = 3 / 10
P(Red) = 2 / 10
These are independent events as one cannot occur at the same time as the other so can multiply their probabilities together
First choice green: 5 / 10
The denominator will decrease because we arent replacing the marbles after we take one out of the bag
Second choice red: 2 / 9
So
5 / 10 x 2 / 9
10 / 90 = 1 / 9
The quadratic equation for this would be f(x) = 5x^2 - 10x - 120.
In order to find that, we need to start by taking our x intercept values and setting them equal to zero.
x = 6 ----> subtract 6 from both sides
x - 6 = 0
x = -4 ----> add 4 to both sides
x + 4 = 0
Now that we have both of these zero terms, we can multiply them to get a standard form.
f(x) = (x - 6)(x + 4)
And while this will give us the zeros we need, it will no give us the lead coefficient. So we must multiply by the desired lead coefficient.
f(x) = 5(x - 6)(x + 4)
f(x) = 5(x^2 - 6x + 4x - 24)
f(x) = 5(x^2 - 2x - 24)
f(x) = 5x^2 - 10x - 120
Answer:
Step-by-step explanation:5/6 is 0.83 as a decimal you need to multiply that by 500 to see that 415 out of 500 would prefer talking to texting
