Answer:
Equation of line is:

Step-by-step explanation:
Let equation of line be y=mx+c
where m is the slope of line and c is the y-intercept
Line passes through (2, -1/2) and has a slope of 3
i.e. (x,y)=(2, -1/2) and m=3
i.e.

So, equation of line is:

Answer:
a^14b^12
Step-by-step explanation:
okay so lets distribute the 2
so you get -a^6b^10 and a^8b^2
add
Double is double, so you can solve
.. 2 = 1*e^(.08t)
and get the correct value of t.
Taking logs,
.. ln(2) = .08t
.. ln(2)/.08 = t ≈ 8.7 . . . . years
Answer:
P(F/E) = 0.5
Step-by-step explanation:
We have the following information:
P(E∩F)=0.1
P(E)=0.2
Additionally, the probability P(A/B) of event A given Event B is calculated as:
P(A/B) = P(A∩B)/P(B)
Now, we want the probability P(F/E), so it is calculated as:
P(F/E) = P(E∩F)/P(E)
Finally, replacing the values we get:
P(F/E) = 0.1 / 0.2
P(F/E) = 0.5
Answer:
length = (x − 8) units and width = (x − 9) units
Step-by-step explanation:
We need to factor
x^2 - 17x + 72
We need two numbers whose product is 72 and whose sum is -17.
The numbers are -8 and -9.
x^2 - 17x + 72 = (x - 8)(x - 9)
Answer: length = (x − 8) units and width = (x − 9) units