Answer:
0.22
Step-by-step explanation:
4 or less let it rest, 5 or more add one more!.
8 is greater than 1 so you add one to 1 which equals 2, so your answer would be 0.22
Answer:
25.12
Step-by-step explanation:
Formula: 2πr, r = d/2
Given: π = 3.14, d = 8
Sub: r = 8/2
Simplify: r = 4
Sub: 2(3.14)(4)
Simplify: 6.28(4)
Solve: 25.12
The x coordinate of the vertex will be the average of the two zeros, here -3 and 5, so x=(-3+5)/2 = 1, f(1)=(1+3)(1-5) = -16.
Answer: (1, -16)
Let's do it some other ways. How about completing the square to turn f in to vertex form?
f(x) = (x+3)(x-5) = x² - 2x - 15 = (x² - 2x + 1) - 1 - 15 = (x-1)² - 16
and now we can read off (1, -16) as the vertex.
The other method is the vertex is x= - b/2a = - (-2)/2(1) = 1.
Three methods, same answer. Good.
Answer:
87.0
Step-by-step explanation:
17.4
17x5=85
.4x5=2.0
85+2.0=87.0
Answer:
Yes. It is a vector space over the field of rational numbers 
Step-by-step explanation:
An element
of the set
has the form

where
are rational coefficients.
The operations of addition and scalar multiplication are defined as follows:


The properties that
, together the operations of vector addition and scalar multiplication, must satisfy are:
- Conmutativity
- Associativity of addition and scalar multiplication
- Additive Identity
- Additive inverse
- Multiplicative Identity
- Distributive properties.
This is not difficult with the definitions given. The most important part is to show that
has a additive identity, which is the zero polynomial, that is closed under vector addition and scalar multiplication. This last properties comes from the fact that
is a field, then it is closed under sum and multiplication.