The exponential function that passes through (0,2) and (3,54) is a growth function
The exponetial function is y = 2 * 3^x
<h3>How to construct the exponential function?</h3>
The points are given as:
(x,y) = (0,2) and (3,54)
An exponential function is represented as:
y = ab^x
Substitute the points in the equation
2 = ab^0 and 54 = ab^3
Solve 2 = ab^0
a = 2
Substitute 2 for a in 54 = ab^3
54 = 2b^3
Divide by 2
27 = b^3
Take the cube roots of both sides
b = 3
So, we have:
y = ab^x
This becomes
y = 2 * 3^x
Hence, the exponetial function is y = 2 * 3^x
Read more about exponential functions at:
brainly.com/question/24077767
Answer:
BE = 22.4 cm
Step-by-step explanation:
Δ CAB and Δ CDE are similar , then ratios of corresponding sides are equal, that is
=
, substitute values
=
( cross- multiply )
8 CE = 128 ( divide both sides by 8 )
CE = 16 cm
Then
BE = BC + CE = 6.4 + 16 = 22.4 cm
2x-3>11-5x
Simplify both sides of the equation
2x-3>-5x+11
Add 5x to both sides
2x-3+5x>-5x+11+5x
7x-3>11
Add 3 to both sides
7x-3+3>11+3
7x>14
Divide both sides by 7
7x/7>14/7
x>2
I hope that's help !
Answer:
Rise=2 Run=1 type of slope is positive slope is 2 y int is 1 and the equation is y=2x+1
Step-by-step explanation:
1. First you need slope, slope is y1-x1/x2-y2 so then you get 4/2 which is 2, we also know rise/run so rise is 2
2. 2/1 so run is 1
3. its positive since slope is positve
4. y int is when x is 0 and y has value so y int is 1
5. y=2x+1 since slope and y int
:D