Answer:
a. Negative discriminant: above
b. Positive discriminant: below
c. Discriminant is zero: on
Step-by-step explanation:
If the discriminant is negative, then there are no real zeros. We have an upward-facing parabola, then the vertex is located above the x-axis
If the discriminant is positive, then there are two different real zeros. We have an upward-facing parabola, then the vertex is located below the x-axis
If the discriminant is zero, then there is one zero. We have an upward-facing parabola, then the vertex is located on the x-axis
Answer:
The coordinates of the vertex are
(-5;-9)
Answer:
Step-by-step explanation:
The sum of N consecutive natural numbers is given by:
We need to find the sum of the natural numbers between 12 to 38.
To calculate the required sum we have F=12, L=38, but we don't have the value of N.
From 12 to 38 there are 38 - 12 + 1 = 27 natural consecutive numbers, thus N=27.
Substituting in the formula:
You'll set the two expressions equal to 95.
So 2x+119=95
Then 2x=-24
Finally x=-12
Answer:
36
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>
y² - 7y + 6
y = -3
<u>Step 2: Evaluate</u>
- Substitute in <em>y</em>: (-3)² - 7(-3) + 6
- Exponent: 9 - 7(-3) + 6
- Multiply: 9 + 21 + 6
- Add: 30 + 6
- Add: 36
