Answer:
Step-by-step explanation:
Let's solve this using our formula for exponential functions:
where a is the initial value and b is the growth/decay rate. We will fill that equation in with 2 of the coordinates on the graph and come up with the values for both a and b. (0, 3) and (1, 6):
. Anything raised to the power of 0 is 1, so that means that
a = 3. We will use that value along with the x and y from the second coordinate to solve for b:
. b to the first is just b, so our equation is
6 = 3b and
b = 2.
Our equation then is
, the third choice down.
Let's solve this by using the quadratic formula:

Note that we only use the coefficients so a=12, b=-14, and c=-6.
Plug values in the quadratic equation:

And so by evaluating those values we obtain:

Now we have two answers which are our factors one where we add another where we subtract and so:
First factor:

Second Factor:

And so your factors are

meaning that those are your roots/x-intercepts.
3x+2y=9
3x+2(4x-1)=9
11x-2=9
+2 +2
11x=11
X=1
Y=4x-1
Y=4(1)-1
Y=3
Answer:
15 ft
Step-by-step explanation:
If every 1/4 of an inch is a foot, than every inch is 4 feet.
1 inch = 4ft
3 inches = 12ft
1/4 + 1/4 + 1/4 = 3/4
3/4=3 ft
12+3=15ft
Answer:
28.26
Step-by-step explanation:
This is the formula for area of a circle
A = pi r^2
Substitute the given values
A = 3.14 (3)^2
A = 3.14 (9)
28.26