Answer:
m = 18
Step-by-step explanation:
Given :
=> -15 is a root of the polynomial
=> It is a zero to the solution.
Process :
Substitute -15 in place of x.
=> (-15)² + (-15)m + 45 = 0
=> 225 + 45 - 15m = 0
=> 15m = 270
=> m = 270/15
=> m = 18
Answer:
75
Step-by-step explanation:
Just make the number of regular gasoline sold to be x, while the number of premium gasoline sold to be (550-x).
That's all.
And goodluck.
Given:
a.) The population of Arizona is estimated to increase by 6.2% every year.
b.) The population was 4.18 million in 2016.
For us to be able to determine the population in 2022, we will be using the following formula:

Where,
P = Total population after time (t)
P₀ = Starting population = 4.18 million
r = Growth rate (in decimal form) = 6.2%/100 = 0.062
t = time (in years) = 2022 - 2016 = 6 years
e = Euler's number = 2.71828182845
We get,


Therefore, the population in 2022 will be approximately 6,063,646.
Answer:
The constant of variation is 3
Step-by-step explanation:
Given.


And y is directly related to x
∝ 
Here k is constant of variation

--------------(1)
Put the
and
value in equation 1.


So, the constant of variation is 3.
Begin by factoring 2 out of 2x^2 - 2x - 12 equals 0:
2(x^2 - x - 6) = 0
2(x - 3)(x + 2) = 0. 2 is never zero, but x-3 and x+2 can each be set = to 0:
This results in x = 3 and x = -2. The equation is true for these two x-values.