Answer:
As x → –2–, f(x) → –∞ and as x → –2+, f(x) → ∞.
Step-by-step explanation:
Answer:
The population will reach 34,200 in February of 2146.
Step-by-step explanation:
Population in t years after 2012 is given by:
In what month and year will the population reach 34,200?
We have to find t for which P(t) = 34200. So
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots 
such that 
, given by the following formulas:
In this question:
So 
Then
We only take the positive value.
134 years after 2012.
.14 of an year is 0.14*365 = 51.1. The 51st day of a year happens in February.
So the population will reach 34,200 in February of 2146.
Answer: each width = 10, each length = 21
Explanation: from the question we know that L=2w + 1 and we also know that a rectangle has the perimeter of 62 when we plug it in the equation we will get 62= 2(2w+1+w) we will multiply the 2 now and we will get 62=4w+2+2w we will combine like terms and we will minus two from both sides ending up with 60=6w we will divide six from both sides and we will get w=10 then we will use l=2w+1 to find the length and it will be 21
Answer:
b. -1
Step-by-step explanation:
9=4a+13
-13 -13
--------------
-4=4a
4a/-4
a=-1
Answer: 2/3 feet per minute
Step-by-step explanation:
From the question, we are informed that a caterpillar moves across the grass at a rate of 4 2/3 feet every 7 minutes.
The rate at which the caterpillar move in feet per minute will be:
= 4 2/3 ÷ 7
= 14/3 ÷ 7
= 14/3 × 1/7
= 14/21
= 2/3 feet per minute
