Y² -9=0
a=1, b=0, c=-9
0² -4*1*(-9)
y=36
Consider the quadratic function
and the linear function g(x) defined as
Apply the distance formula
except if you use the starting point of (0,0), its essentially an application of pythagorean theorem
x2 would be 15*t
y2 would be -36*t
and d would be 24
writing it all out would be
24^2= (15t)^2 + (-36t)^2
in which case, just expand, and solve for t
any questions?
No Problem!
5p-14=8p+4
I assume this is the whole problem set up properly, so now, lets subtract the left side by 5p, and then the right side.
-14=3p+4
As you can see, the 5p cancels out on the left side, and the p leftover is what 8p-5p equals.
Now, subtract both sides by 4.
-18=3p
Now, simply divide both sides by 3 to equal
p= -6
The reason we do the divide and multiplying last is because doing it first would only make it much harder.
This is the simplest way I know of to do it. If you don't understand, just ask me.
Hope it helped!
Answer:
Step-by-step explanation:
11.04 = 10(1.02)^n
1.104 = 1.02^n
ln 1.104 = ln 1.02^n
ln 1.104 = n ln 1.02
n = ln 1.104/ ln 1.02
n = 4.99630409516
4.99 can be rounded to 5.
So a reasonable domain would be 0 ≤ x < 5
PART B)
f(0) = 10(1.02)^0
f(0) = 10(1)
f(0) = 10
The y-intercept represents the height of the plant when they began the experiment.
f(1) = 10(1.02)^1
f(1) = 10(1.02)
f(1) = 10.2
(1, 10.2)
f(5) = 10(1.02)^5
f(5) = 10(1.1040808)
f(5) = 11.040808
f(1)=10(1.02)^1
f(1)=10.2
Average rate= (fn2-fn1)/(n2-n1)
=11.04-10.2/(5-1)
=0.22
the average rate of change of the function f(n) from n = 1 to n = 5 is 0.22.