The factorisation of the given expressions is as follows;
- a) p²y²– 2py + 1 = (py -1)²
- b) a²y² -2aby +b² = (ay - b)²
<h3>Factorization using identities</h3>
The given identity is;
From the given identity, we can conclude that;
In the expression (a);
- py represents a in the identity and 1 represents b in the identity.
In the expression (b);
- ay represents a in the identity and b represents b in the identity.
Hence, the factorised expressions are as represented above.
Read more on factorisation;
brainly.com/question/24371127
Answer:
yes?
Step-by-step explanation:
Hello!
ANSWER:
4 additional items were ordered.
EXPLANATION:
First, subtract the cost of the entree:
9.75 - 4.75 = 5
This means that the customer spent $5.00 on on additional items.
Each additional item costs $1.25. Divide:
5 ÷ 1.25 = 4
Answer:
it's cosine
Step-by-step explanation:
cos45° = x/17
1) Find whether the function, f(x) has a local or absolute maximum or minimum.
Calculate the first derivative: f '(x) = 3x^2 + 8
Maximum or minimum => f '(x) = 0 => 3x^2 + 8 = 0 => 3x^2 = -8
Which has not a real solution because x^2 is always positive.
Then there is not maximum or minimum.
Then that function is or increasing or decreasing in all the domain and it can have maximum one real root.
Yet we have to show if there is one root or none root.
if you make x = 1 you find f(x) = 1^3 + 8(1) -19 = 1 +8 - 19 = -10
If you make x =2, you find f(x) = 2^3 + 8(2) -19 = 8 + 16 - 19 = 5
Then f(x), given that it is continuos, will have a zero between x =1 and x = 2, which corresponds to the only root of the function.
