Answer:
X = 9
Step-by-step explanation:
6(x−3)=3x+9
(6)(x)+(6)(−3)=3x+9
6x+−18=3x+9
6x−18=3x+9
6x−18−3x=3x+9−3x
3x−18=9
3x−18+18=9+18
3x=27
3x
/3 = 27
/3
Given:
Polynomial 
To find:
The values of x.
Solution:
Quadratic equation formula:
Here 
.
Substitute the values in the formula, we get
Option E and option F are the roots of the polynomial.
The values of x are 
.
Answer:
The inequality which represents the graph is y ≤ -2x + 1 ⇒ A
Step-by-step explanation:
To solve the question you must know some facts about inequalities
- If the sign of inequality is ≥ or ≤, then it represents graphically by a solid line
- If the sign of inequality is > or <, then it represents graphically by a dashed line
- If the sign of inequality is > or ≥, then the area of the solutions should be over the line
- If the sign of inequality is < or ≤, then the area of the solutions should be below the line
Let us study the graph and find the correct answer
∵ The line represented the inequality is solid
∴ The sign of inequality is ≥ or ≤
→ That means the answer is A or B
∵ The shaded area is the area of the solutions of the inequality
∵ The shaded area is below the line
∴ The sign of inequality must be ≤
→ That means the correct answer is A
∴ The inequality which represents the graph is y ≤ -2x + 1
Answer: Approximately 25187 animals of this species will be left in 2025
Step-by-step explanation:
We would apply the formula for exponential decay which is expressed as
y = b(1 - r)^x
Where
y represents the population of animals after x years.
x represents the number of years.
b represents the initial population of animals.
r represents rate of decay.
From the information given,
b = 200000
r = 4.5% = 4.5/100 = 0.045
x = 2025 - 1980 = 45 years
Therefore,
y = 200000(1 - 0.045)^45
y = 200000(0.955)^45
y = 25187
Answer:
The answer would have to be 16.6666666666667. This can be rounded up or keep the same.
