Answer:

Step-by-step explanation:

Use the slope-intercept formula:

m is the slope and b is the y-intercept. Use the slope formula first:

Rise over run is the change in the y-axis over the change in the x-axis. Plug in the coordinates:


Simplify parentheses (two negatives makes a positive):

Simplify:

The slope is
. Insert into the equation:

Now, to find the y-intercept, take one of the points and substitute for the x and y values of the equation:

Solve for b, the y-intercept. Simplify parentheses:


Add
to both sides:

Simplify:

The y-intercept is
. Insert this into the equation:

Finito.
The exponential function is y = 650(1.0475)ˣ
<h3>
Exponential equation</h3>
A Exponential equation is in the form:
y = abˣ
where y, x are variables, b is the multiplier and a is the initial value.
Let y represent the bacteria population after x hours.
a = 650 bacteria
b = 100% + 4.75% = 1.0475
The exponential function is y = 650(1.0475)ˣ
After 33 hours:
y = 650(1.0475)³³ = 3006
Find out more on Exponential equation at: brainly.com/question/2456547
Answer:
B I think
Step-by-step explanation:
Answer:
The answer to your question is 25 ft
Step-by-step explanation:
Data
height = 20 ft
leg = 15 ft
length of the line = ?
To solve this problem use the Pythagorean theorem.
Height = short leg = b
leg = long leg = a
length of the line = hypotenuse = c
- Substitution
c² = (20)² + (15)²
-Simplification
c² = 400 + 225
c² = 625
-Result
c = 
c = 25 ft