General Idea:
To find the Greatest Common Factor of binomial, we need to write each term as product of prime factors. GCF by definition means the product of common prime factors involved with its lowest terms. It is a number which will go in to both the terms in a binomial.
Given :
Applying the concept :
In order to get the expression inside the parenthesis after factoring GCF 5, we need to divide each term by what we factor out as shown below:
Answer: 85%
Step-by-step explanation:
The regular price is 8.95, with a 15% discount for Seniors. So the senior price would be 100%-15%=85% of the regular price.
Answer:
m= -1
Step-by-step explanation:
because the symbol is a less than sign < the blue area needs to be below the red line and does not include the solution to Y ( if it included Y it would be a ≤ symbol.
When the solution isn't included, it is a dashed line.
so the answer would be D
Answer: second option y = 2(x + 7/2)^2 + 1/2
Explanation:
1) given:
y = (x + 3)^2 + (x + 4)^2
2) expand the binomials:
y = x^2 + 6x + 9 + x^2 + 8x + 16
3) add like terms:
y = 2x^2 + 14x + 25
4) take common factor 2 of the first two terms:
y = 2 (x^2 + 7x) + 25
5) complete squares for x^2 + 7x
x^2 + 7x = [x +(7/2)x ]^2 - 49/4
6) substitue x^2 + 7x = (x + 7/2)^2 - 49/4 in the equation for y:
y = 2 [ (x + 7/2)^2 - 49/4] + 25
7) take -49/4 out of the square brackets.
y = 2 (x + 7/2)^2 - 49/2 + 25
8) add like terms:
y = 2(x + 7/2)^2 + 1/2
And that is the vertex for of the given expression.
