Answer:
A. 2 distinct roots.
Step-by-step explanation:
2x^2 + 8x + 3 = 0
Finding the discriminant:
b^2 - 4ac = 8^2 - 4 * 2 * 3
= 64 - 24
= 40
The discriminant is positive but not a perfect square
So there are 2 distinct ,real, irrational roots.
Answer:
C) Distributive Property
Step-by-step explanation:
You're <em>distributing</em> in the 3 when you multiply it by the 5 and the 2 in the algebraic process:
➦ ➦
3•(5 + 2) = (3 • 5) + (3 • 2)
So, the 3 was <em>distributed</em> between the 5 and 2 when you multiplied.
Hence, this is the distributive property.
Answer:
First question -> y = 2
Second question -> y = 10
Step-by-step explanation:
<u>Step 1: Solve y + 2 = 4</u>
Subtract 2 from both sides
y + 2 - 2 = 4 - 2
<em>y = 2</em>
<em />
<u>Step 2: Solve y - 2 = 8</u>
Add 2 to both sides
y - 2 + 2 = 8 + 2
<em>y = 10</em>
<em />
Answer: First question -> y = 2
Second question -> y = 10
Numbers are n, n+2 and
n(n+2)=195
n^2+2n-195=0
Using the quadratic equation n=13
And n+2=15