Answer:
<h2>y = 2</h2>
Step-by-step explanation:
To find the value of y when x = 8 we must first find the relationship between the two variables.
The statement
y varies directly with variable x is written as
y = kx
where k is the constant of proportionality
when
x = 12
y = 3
Substitute the values into the above formula and solve for k
That's
3 = 12k
Divide both sides by 12

So the formula for the variation is

when
x = 8

we have the final answer as
<h3>y = 2</h3>
Hope this helps you
Answer: The correct option is (D) 196608.
Step-by-step explanation: We are given to find the value of the 9th term in the following geometric sequence :
3, 12, 48, 192, . . .
We know that
the n-th term of a geometric sequence with first term a and common ratio r is given by

For the given sequence, we have
first term, a = 3 and the common ratio, r is given by

Therefore, the 9th term of the given sequence will be

Thus, the required 9th term of the given sequence is 196608.
Option (D) is CORRECT.
Answer:
<h2>x= 37/16</h2><h3>
y=199/8</h3>
Step-by-step explanation:
1....y=11+6x
-77-2x+3y=-7
replace y by ..1..
so -77-2x+3(11+6x)=-7
-77-2x+33+18x=-7
-44+16x=-7
16x=37
y=11+6x
replace x by 37/16
y=11+6*37/16
y=199/8
Answer:
Step-by-step explanation:
Given that:
sin2xcos x + cos2xsin x = -1
Recall that;
SInAcosB + cosASinB = SIn (A+B)
SIn (2x +x) = -1
Sin (3x) = -1
![x = \bigg [\dfrac{Sin ^{-1} (-1)}{3} \bigg ]](https://tex.z-dn.net/?f=x%20%3D%20%5Cbigg%20%5B%5Cdfrac%7BSin%20%5E%7B-1%7D%20%28-1%29%7D%7B3%7D%20%20%5Cbigg%20%5D)

