Answer:
Parabolas always have a lowest point (or a highest point, if the parabola is upside-down). This point, where the parabola changes direction, is called the "vertex". If the quadratic is written in the form y = a(x – h)2 + k, then the vertex is the point (h, k). This makes sense, if you think about it.
Step-by-step explanation:
Answer: 
Step-by-step explanation:
The Pythagorean Theorem says that a^2 + b^2 = c^2 where a and b are the two legs.
In this care leg 1 is 4 and leg two is the square root of 50. So we will square them to find c which is the hypotenuse.
4^2 +
= C^2
16 + 50 = c^2
66 = c^2
c =
Here is the work to the question
Answer:
7m² + 6m - 1
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
- Combining Like Terms
- Standard Form: ax² + bx + c = 0
Step-by-step explanation:
<u>Step 1: Define expression</u>
7m² + 6m - 1
<u>Step 2: Simplify</u>
<em>The expression cannot be simplified further.</em>
Answer:
The graph in the attached figure
Step-by-step explanation:
we have a exponential function of the form

where
y ---> is the population of bacteria
x ---> the number of hours
a is the initial value or y-intercept
b is the base of the exponential function
r is the rate of change
b=(1+r)
we have


so

substitute

For x=20 hours
substitute in the equation and solve for y
