F(x)=12(3)ˣ
just find the slope
so for x=0
f(0)=12(3)⁰
f(0)=12(1)
f(0)=12
(0,12)
for x=5
f(5)=12(3)⁵
f(5)=12(243)
f(5)=2916
(5,2916)
the slope between (x1,y1) and (x2,y2) is
(y2-y1)/(x2-x1)
given
(0,12) and (5,2916)
slope=(2916-12)/(5-0)=2904/5
the rate of change is 2904/5
Answer:
see attached
Step-by-step explanation:
This is a difficult graph to make, because none of the points are on any grid intersections.
At the left (s=0), it starts 1/4 of the distance up from 7000 toward 8000.
At the right (s=10), it crosses 3/10 of the distance up from 9000 toward 10,000.
Answer:
Step-by-step explanation:
b and c are the speeds of the boat in stool water, and current, respectively.
Going with the current, the boat travels b+c=16 km/h.
Going against the current, the boat travels b-c=6 km/h
add the equations together
b+c = 16
b-c = 6
—————
2b = 22
b = 11
c = 16-b = 5
Answer:
I am not sure but I think it is 11
Step-by-step explanation:
I am so very sorry if im wrong :/
Answer:
smallest integer=9,
total number of integers are in the sequence = 19.
Step-by-step explanation:
- let a be the first term and the number of terms be n. as they are consecutive,the common difference will be 1. these will form Arithmetic Progression series.
- the sum of n terms in AP series is :
[ where, l: last term]
- or, sum of n terms in AP series is :
[where, d: common difference]
using the first formula,
342 =
342=
342=2an .......equation 1.
using the second formula,
342=
684=n[2a+n-1]
684=2an+n^2-n
from equation 1,
342=n^2-n .......equation 1
-n-342=0
after solving, the solution to the above equation is 19.
substituting this in equation 2,
171=a[19]
a=9
so, smallest integer= a = 9,
total number of integers are in the sequence = n = 19.