Answer:
H
Step-by-step explanation: 6 4 17 30
if x = 0 f(0) = 2×5^0
= 2 × 5
= 10
H is the only graph that equals 10 at x=0
Answer:
- The set with x ≤ 0 and y ≤ 0 is not a vector space.
- The 10th axiom does not hold
Step-by-step explanation:
Let u, v and w be vectors in the vector space V, and let c and d be scalars. A set S is defined as a vector space if it satisfies the following conditions:
- 1.
- 2. v + w = w + v
- 3. (u + v) + w = u + (v + w)
- 4. v + 0 = v = 0 + v
- 5. v + (−v) = 0
- 6. 1v = v
- 8. c(v + w) = cv + cw
- 9. (c + d)v = cv + dv
- 10.
Given the set of all vectors x, y in with x ≤ 0 and y ≤ 0
If the scalar c is such that .
Therefore, the 10th axiom is not satisfied and thus the set with x ≤ 0 and y ≤ 0 is not a vector space.
Answer:
Step-by-step explanation:
<u>Step 1: Determine what absolute value does</u>
According to online, the following is given: "The absolute value (or modulus) | x | of a real number x is the non-negative value of x without regard to its sign. For example, the absolute value of 5 is 5, and the absolute value of −5 is also 5. The absolute value of a number may be thought of as its distance from zero along real number line."
<u>Step 2: Determine the absolute value of 15</u>
Since we know that the absolute value gives us the non-negative value of the given number regardless of its sign, we can determine that the absolute value of 15 would just return us 15.
Answer: