The vertex of the graph of y = (x - 1)2 - 5 is (1,-5)
Answer:
60 boys
Step-by-step explanation:
boys : girls = 3 : 5
Total number of people = 160
Let y = common factor:
Therefore, 3y + 5y = 160
⇒ 8y = 160
⇒ y = 160 ÷ 8 = 20
Boys = 3y = 3 x 20 = 60
Girls = 5y = 5 x 20 = 100
So there are 60 boys and 100 girls
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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:
Step-by-step explanation:
1.
Equation one:
x = -5, x = -1 (Both are real)
Equation two:
No real solutions
Equation three:
x = -3 (Real)
Equation four:
No real solutions
2.
The easiest way to figure out if an equation has real solutions is to factor it. If it is factorable, then it has real solutions. If it isn't, then it doesn't have real solutions.