Answer:
a
Step-by-step explanation:
The equation of a proportional relationship is
y = kx ← k is the constant of proportionality
Divide both sides by x
= k
To find k use any ordered pair from the table
Using (2, ) , then
k = = 2 ×
=
⚠️⚠️What should I change ? And why ? ⚠️⚠️
1 answer:
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Answer:
Step-by-step explanation:
1. To solve this problem substitute the values of and
into the function
and prove for the value
.
2. When ,
and
; this means that the graph of the function should cut in the axis
, if this does not happen, the values of
and
are not the right ones.
3. Then, we conclude that the correct option is the Option A:
4. You can see that the function cut the y-axis at -3.
Answer:
(a)
(b) 10
(c)
(d) 0
(e) 1024
Step-by-step explanation:
(a)
A = {x ∈ Z | 0 < x, x² ≤ 100}
We need to find all the elements of given set.
The given conditions are
... (1)
Taking square root on both sides.
.... (2)
Using (1) and (2) we get
Since x ∈ Z,
(b)
We need to find the value of | {x ∈ Z | 0 < x, x² ≤ 100}| or |A|. It means have to find the number of elements in set A.
| {x ∈ Z | 0 < x, x² ≤ 100}| = 10
(c)
B = {x ∈ Z | x > 10, x² ≤ 100}
We need to find all the elements of given set.
The given conditions are
... (3)
It means
.... (4)
Inequality (3) and (4) have no common solution, so B is null set or empty set.
(d)
We need to find the value of |{x ∈ Z | x > 10, x² ≤ 100}| or |B|. It means have to find the number of elements in set B.
|{x ∈ Z | x > 10, x² ≤ 100}| = 0
(e)
We need to find the value of | P(A) |. P(A) is the power set of set A.
Number of elements of a power set is
where, n is the number of elements of set A.
We know that the number of elements of set is 10. So the value of |P(A)| is
Therefore |P(A)|=1024.