X + 3 • ( 10 + y ) - 7x - 4
x + 30 + 3y - 7x - y
x - 7x + 3y - y + 30
-6x + 2y + 30
y varies inversely with x.
Example:
If we multiply x by 2 we need to divide y by 2 too.
So,
If y = 16 and x = 1/2, find y when x = 32
Lets see, from 1/2 to 32 e need to multiply 1/2 by 64, right? So let's divide 16 by 64.
16/64 = 8/32 = 4/16 = 2/8 = 1/4
So we can say that:
If y = 16 when x = 1/2, y = 1/4 when x = 32.
<u>Answer:
</u>
Required five terms of sequence are 19 , 12 , 5 , -2 and -9 .
<u>
Solution:
</u>
Need to find the five terms of the sequence.
Given recursive rule is f(x) = f(x-1) -7
Substituting x = 2 , f(2) = f(2-1)-7
= f(2) = f(1) – 7 ------(1)
Also given that f(2) = 12.
On substituting the given value of f(2) in eq (1) we get
12 = f(1) – 7
f(1) = 12 + 7 = 19
Using given recursive rule and given value of f(2) calculating f(3)
Substituting x = 3 ,
f(3) = f(3-1) – 7
= f(2) – 7
= 12 – 7
= 5
Using given recursive rule and calculated value of f(3) calculating f(4)
Substituting x = 4,
f(4) = f(4-1) – 7
= f(3) – 7
= 5– 7
= -2
Using given recursive rule and calculated value of f(4) calculating f(5)
Substituting x = 5,
f(5) = f(5-1) – 7
= f(4) – 7
= -2– 7
= -9
Hence required five terms of sequence are 19 , 12 , 5 , -2 and -9 .
The first one is B and the second is D
The answer for both of these would be a rectangle.
A rectangular prism has 6 faces, all of which are rectangles. Slicing the prism parallel to any of the faces, whether they are end faces or bases, will result in a rectangular cross-section.
