The equation would be: V = A2^(Y/3)
The basic form of an exponential equation is y = ab^x.
The a is the starting amount. In this problem, we don't know that, so we just leave it as a.
The b is the rate. In this case, we are doubling the volume so we times it by 2.
The x is the amount of years. Since it is every 3 years, we can divide the x by 3.
Answer:
1. x = ±9
2.
3. 12 and -12.
4. Antoine is incorrect. There exists two solutions x=5 and x= -5.
Step-by-step explanation:
According to the questions,
Problem 1.
i.e.
i.e. x = ±9.
Problem 2.
i.e.
i.e.
i.e.
Problem 3. [tex]f(x)=x^{2}-144[tex]
To find the roots, we take, [tex]x^{2}-144=0[tex] i.e. [tex]x^{2}=144[tex] i.e. x = ±12.
Thus, the options are 12 and -12.
Problem 4. We have [tex]f(x)=x^{2}+25[tex]
For the roots, we take, [tex]x^{2}+25=0[tex] i.e. [tex]x^{2}=25[tex] i.e. x = ±5.
Thus, Antoine is not correct and two solutions namely x=5 and x= -5 exists.
Answer:
12
Step-by-step explanation:
I did order of operations, GEMA OR PEMDAS, etc.