Answer:
x>-6, x<-4
Step-by-step explanation:
|x+5|>-1
x+5>−1 (Possibility 1)
x+5−5>−1−5 (Subtract 5 from both sides)
x>−6
x+5<−(−1)(Possibility 2)
x+5<1(Simplify both sides of the inequality)
x+5−5<1−5(Subtract 5 from both sides)
x<−4
x>-6 or x<-4
Answer:
y = 3(x2 – 7) = 3x2 – 21
Step-by-step explanation:
Let x represent the worth of the professional basketball player's autograph a year ago. Since his autograph's worth increased by 40% now, $364 is 1.40x.
364 = 1.40x
Solving for x gives x = 260.
Thus, the autograph of the basketball player was worth only $260 last year.
We have that if we assume standard exponential growth, the equation of the population will be:

if we start counting from the moment that the population was 7000. We are given that 7000*

=12000, namely that P(5)=12000 and we need to find

. Since e^(10k)=e^(5k)*e^(5k), and since we can solve for e^(5k) from P(5), we have:
e^(5k)=12000/7000 and we can calculate P(10). P(10)=7000

= 20571 people.