Answer:
c=6
Step-by-step explanation:
c+7=13
-7 -7
c=13-7
c=6
Answer:
See below
Step-by-step explanation:
I assume you mean 
The equation is already in vertex form
where
affects how "fat" or "skinny" the parabola is and
is the vertex. Therefore, the vertex is
.
The axis of symmetry is a line where the parabola is cut into two congruent halves. This is defined as
for a parabola with a vertical axis. Hence, the axis of symmetry is
.
The minimum value is the smallest value in the range of the function. In the case of a parabola, the y-coordinate of the vertex is the minimum value. Therefore, the minimum value is
.
The interval where the function is decreasing is 
The interval where the function is increasing is
- cos ( 1/2 x + 1/5 π ) = 0 ( and because if cos α = 0, α= π/2 + k π, k ∈ Z )
1/2 x + π/5 = π/2 + k π, k ∈ Z
1/2 x = π/2 - π/5 + k π / * 2
x = π - 2π/5 + 2 k π
x = 3/5 π + 2 k π = 0.6 π + 2 k π
Answer:
If k = 0: x 1 = 0.6 π = 3π/5
k = 1 : x 2 = 2.6 π = 13π/5
Answer:
The total earning of commission on sales of 85, 000 will be:

Step-by-step explanation:
- Total sales earning = 85,000
As salesperson earns 5% commission the first 70,000.

As the salesperson earns 7% commission on the sales over 70,000.
As 15000 is the sales earning on which he will get commission 7%.
Because
So the 7% earning of salesperson will on 15000 will be:

Therefore, the total earning of commission on sales of 85, 000 will be:

Answer:
The total change in water level over the past 2 years is
.
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Fractions
Numbers
- Least Common Multiple (LCM)
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
Year 1 water change: 
Year 2 water change: 
<u>Step 2: Find Total Water Change</u>
- [Set up] Add yearly water changes:

- [Fractions] Convert to improper:

- [Fraction] Rewrite [LCM]:

- [Order of Operations] Subtract:

- [Fraction] Convert to proper:
