Answer:
Step-by-step explanation:
Our equations are

Let us understand the term Discriminant of a quadratic equation and its properties
Discriminant is denoted by D and its formula is

Where
a= the coefficient of the 
b= the coefficient of 
c = constant term
Properties of D: If D
i) D=0 , One real root
ii) D>0 , Two real roots
iii) D<0 , no real root
Hence in the given quadratic equations , we will find the values of D Discriminant and evaluate our answer accordingly .
Let us start with

Hence we have two real roots for this equation.


Hence we do not have any real root for this quadratic

Hence D>0 and thus we have two real roots for this equation.

Hence we have one real root to this quadratic equation.
Answer:
A) $14/hr B) Austin
Step-by-step explanation:
A)
If he earns $140 in 10 hours you can divide 140 by 10 to find out how much he makes per hour
B)
Sarah makes $13/hr which is $1 less than Austin
Answer:
The markup percent on the painting is 58.3%
Step-by-step explanation:
Here, The Cost price of the painting = $120
The selling price of the painting = $190
Hence, the total profit on the painting = Cost Price - Selling price
or Profit = $190 - $120 = $70
Now, Markup % = (Gross Profit / cost) x 100
⇒Markup % = 
Hence, the markup percent on the painting is 58.3%
Answer:
27
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Step-by-step explanation:
<u>Step 1: Define</u>
3 - 6(z - 2)
z = -2
<u>Step 2: Evaluate</u>
- Substitute in <em>z</em>: 3 - 6(-2 - 2)
- (Parenthesis) Subtract: 3 - 6(-4)
- Multiply: 3 + 24
- Add: 27
Answer:
50
Step-by-step explanation:
its a straight line so all the angles have to add up to 180