Topic
Q:
It is estimated that a forest infested with bark bettles, an invasive species, will loose half of
its trees each season unless it is treated. A forest in California has \( 1,000,000 \) trees and
has recently become infested with bark beetles. The equation that represents the number
of living trees in terms of the number of seasons is \( y=1,000,000\left(\frac{1}{2}\right)^{x} \) where \( x \) is the
number of seasons and \( y \) is the total number living trees.
What is the initial value?
What is the constant ratio?
Q:
For the function, \( f(x)=-6 x+8 \), complete parts a through \( c \).
Q:
oit le Polynome \( P(x)=-3 x^{3}+10 x-4 \)
1- Montrer que \( P(x) \) est factorisable par \( x+2 \).
2- Déterminer les réels a, bet c tels que \( P(x)=(x+2)\left(a x^{2}+b x+6\right. \)
3- Résoudre dans \( \mathbb{R} \), l'équation \( P(x)=0 \)
4- Etudier suivant les valeurs de \( x \), le signe de \( P(x) \).
5- En déduire le signe de \( P\left(\frac{\pi}{\sqrt{2}}\right) \)
6- Résoudre dans \( \mathbb{R} \), l'inéquation \( P(x) \leq 0 \)
\( -3 x^{2}+6 x-2 \),
Q:
Solve the equation, showing the transformation step.
\[ 7-2 x=25 \]
Q:
Your neighbors are purchasing bottles of water for a backyard barbecue. They are expecting 90 guests and want to
provide an average of 2 bottles of water per guest. The bottles of water are sold in packages of eighteen.
Set up the problem below and calculate the number of eighteen-packs of bottles of water they will need. Place your
conversion factors in order such that "guests" cancels first.
90 guests \( \times \) packages
Q:
3. \( \sqrt[3]{189} \)
Q:
For the function \( f(x)=5 x+1 \), find \( (a) f(x+h),(b) f(x+h)-f(x) \), and \( (c) \frac{f(x+h)-f(x)}{h} \)
Q:
SOIVE
\( -3(6 x-4)=-96 \)
Q:
At Halloween Calum dressed up and went trick or treating for candy. At the end of the
night, he had 180 pieces of candy. He reasoned that if he ate half of his candy every week,
he would never run out of candy.
What is the initial value?
What is the constant ratio?
If \( x \) is the number of weeks since Halloween, and \( y \) is the number of pieces of candy, then
write an equation that represents the amount of candy over time.
Q:
13 A bricklayer used 288 bricks to build a wall in 4 hours. How many brick
can he use to build a similar wall in 6 hours working at the same rate?
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