Since, in this case, we have 4 options then you just need to substitute each number.
A. y = 5/x
B. y = 14/x
C. y = 9/x
D. y = 3.5x
We know that x= 2 when y=7. So...
A. y = 5/x
7=5/2
7=2.5
This is false.
B. y = 14/x
7= 14/2
7=7
This is right, So True.
C. y = 9/x
7=9/2
7=4.5
False
D. y = 3.5x 7=3.5(2)
7=7
This one is also true.
In this case we look for definition.
he statement " <span>y </span>varies inversely as <span>x </span>means that when <span>x </span>increases, <span>y </span>decreases by the same factor. In other words, the expression <span>xy </span>is constant:
xy = k
where k is the constant of variation.
We can also express the relationship between x and y as:
y = k/x
where k is the constant of variation.
Answer:
From figure A
The value of ∠ B = 75.74° , ∠ C = 70.26° and AB = 27.37
From figure B
The value of ∠ A = 42.8° , ∠ B = 106.2° and AC = 30.04
Step-by-step explanation:
<u>Given first figure as :</u>
AC = 28.2
BC = 16.5
∠ A = 34°
Let AB = c
<u>From law of sines</u>
=
=
Or,
=
or,
=
Or, 29.506 =
Or, Sin B =
Or, Sin B = 0.955
∴ ∠B =
0.955
I.e∠ B = 75.74
Now, ∠ C = 180° - ( ∠A + ∠B )
Or, ∠ C = 180° - ( 34° + 75.74° )
Or, ∠ C = 70.26°
Now, Again
=
so,
=
Or,
=
Or, c = 29.09 × 0.9412
∴ c = 27.37
I.e AB = 27.37
Hence, The value of ∠ B = 75.74° , ∠ C = 70.26° and AB = 27.37
<u>From figure second</u>
Given as :
AB = c= 12
BC = a = 16
∠ C = 31°
let AC = b
<u>From law of sines</u>
=
=
Or,
=
or,
=
or,
=
Or,
= 23.52
∴ Sin A =
I.e Sin A = 0.68
Or, ∠ A =
0.68
or, ∠ A = 42.8°
Now, ∠ B = 180° - ( 31° + 42.8° )
Or, ∠ B = 106.2°
Now,
=
or,
=
Or,
=
or, b = 31.3×0.96
∴ b = 30.04
Hence The value of ∠ A = 42.8° , ∠ B = 106.2° and AC = 30.04
Answer
B
The end behavior of a positive cubic function states that as x approaches infinity, y approaches infinity.
Similarly, as x approaches negative infinity, y approaches negative infinity.
This means that when written in interval notation, the range is (-inf, +inf).