Answer:
The answer to the question are
(B) The set is not a vector space because it is not closed under addition. and
(D) The set is not a vector space because an additive inverse does not exist.
Step-by-step explanation:
To be able to identify the possible things that can affect a possible vector space one would have to practice on several exercises.
The vector space axioms that failed are as follows
(B) The set is not a vector space because it is not closed under addition.
(2·x⁸ + 3·x) + (-2·x⁸ +x) = 4·x which is not an eighth degree polynomial
(D) The set is not a vector space because an additive inverse does not exist.
There is no eight degree polynomial = 0
The axioms for real vector space are
- Addition: Possibility of forming the sum x+y which is in X from elements x and y which are also in X
- Inverse: Possibility of forming an inverse -x which is in X from an element x which is in X
- Scalar multiplication: The possibility of forming multiplication between an element x in X and a real number c of which the product cx is also an element of X
B. 16 cm
Square both 20 and 12
20x20=400
12x12=144
400-144=256
find the square root of 256
and the square root is 16
so b is 16 cm
<u>Answer</u>
18) $51
19) $24
20) <em> Carla's account. </em>
<u>Explanation</u>
18)
Positive sign values means deposit while the negative values means money been withdrawn from the account.
$100 - $18 + $22 - $53 = $51
19)
Positive sign values means money deposited while the negative values means money been withdrawn from the account.
$45 - $17 - $22 + $18 = $24
20)
To get the person with the most deduction, you should add the negative values in the table then compare.
Carla ⇒ -18 + -53 = $-71
Leta ⇒ -17+ -22 = $-39
From here we can see that the account with greatest decrease is<em> Carla's account. </em>
Angle a 3/8(160) divide 160 by and multiply by 3= 60
Answer: 1. I will bring my umbrella.
2. You work 20 hours a week, and you make $175.00.
Step-by-step explanation:
We know that a conditional statement "If p then q", is an if-then statement in which p is a hypothesis and q is a conclusion.
Now, for the given conditional statement "If it rains, then I will bring my umbrella. "
Here, q=" I will bring my umbrella." Therefore, the conclusion is "I will bring my umbrella".
For the next conditional statement "If you work 20 hours a week, then you make $125.00."
The statement "You work 20 hours a week, and you make $175.00." is false, because $175 is false conclusion here for the same hypothesis.
