The answer is D. I hope this helps love! :)
Answer:
Step-by-step explanation:
Degree of quadratic equation is 2
So, y = (x + 2)² - 6 ; y = x² - 4x + 2 & y = -(x -2)² + 5 are quadratic equation
(a + b)² = a² + 2ab + b²
y = (x + 2)² - 6
y = x² + 2*x*2 + 2² -6
y= x² + 4x + 4 -6
y= x² + 4x - 2
Degree = 2
y = -(x - 2)² + 5
y = -[ x² - 2*x*2 + 2²] + 5
y = -[x² - 4x + 4)+5
y = -x² + 4x - 4 + 5
y = -x² + 4x + 1
Degree = 2
Answer:
Around 27.2 years later
Step-by-step explanation:
This is compound decline problem. We use the formula:
Where
F is future amount (100)
P is present amount (229)
r is the rate of decrease (3% means 3/100 = 0.03)
t is the time in years (which we want to find)
So, lets substitute and solve:
![F=P(1-r)^t\\100=229(1-0.03)^t\\100=229(0.97)^t\\0.4367=0.97^t\\ln(0.4367)=ln(0.97^t)\\ln(0.4367)=t*(ln0.97)\\t=\frac{ln(0.4367)}{(ln0.97)}\\t=27.2](https://tex.z-dn.net/?f=F%3DP%281-r%29%5Et%5C%5C100%3D229%281-0.03%29%5Et%5C%5C100%3D229%280.97%29%5Et%5C%5C0.4367%3D0.97%5Et%5C%5Cln%280.4367%29%3Dln%280.97%5Et%29%5C%5Cln%280.4367%29%3Dt%2A%28ln0.97%29%5C%5Ct%3D%5Cfrac%7Bln%280.4367%29%7D%7B%28ln0.97%29%7D%5C%5Ct%3D27.2)
So, around 27.2 years later, the population would reach 100
Answer:
First, write the
✔ formula: d = rt
.
Next, use parentheses when you substitute
✔ 125
in for r and
✔ 3.2
in for t.
Now, simplify by
✔ multiplying
125 and 3.2.
Jeff raced for a distance of
✔ 400
miles.
Step-by-step explanation:
Answer:
1080 seconds.
Step-by-step explanation:
There are 60 seconds in a minute. As provided in the question, Lillian spent eighteen minutes, so 18x60=1080.