Answer:
4
Step-by-step explanation:
3x2=6
6 times what gives 24?
6x4=24
So x=4
Answer:
{ 100, 125,150,175}
Step-by-step explanation:
The range is the output values
{ 100, 125,150,175}
perimeter = 2width + 2 length
102 = 2(x+9) + 2x
102 = 2x + 18 +2x
102 = 4x +18
84 = 4x
21 = x
Length = x = 21 inches
Width = x + 9 = 21 + 9 = 30 inches
The attached picture is a summary of all the six transformations you'd do.
Any change outside the f(x) notation impacts y-values of points on the graph.
Any changes inside the f(x) notation impacts x-values of points on the graph.
The trick is that the inside changes are usually the opposite of what you'd expect to have happen.
7. y=f(x)+8
This is an outside change. You're adding 8 to all the y-values of points on the graph. This will shift your entire graph up 8 units.
8. y=f(x+6)
This is an inside change. Because it says "+6", you want to think, "Ah! That means I'll actually subtract 6 from the x-value of every point on the graph." This graph is shifted 6 units to the left.
9. y=-f(x)
Inside change, impacts y-values. Every y-value will be given the opposite signs. Negatives become positive and positives become negative. This will flip your graph over the x-axis.
10. y = f(-x) + 5
Give this one a shot on your own first in a comment and I'll let you know how you did.
11. y = - 3 f(x-3)
There are three things happening. A negative on the outside, multiplying by 3 on the outside, and subtracting 3 inside. What will each of those do individually? Take a shot on this one and let me know what you think.
12. y = 1/2 f( 1/2 x )
Again, three changes. Try this one and let me know what you think. Remember multiplying by 1/2 inside really means you'll do the opposite of multiplying by 1/2.
Answer:
Step-by-step explanation:
Alright, lets get started.
Suppose the first fraction is : 
Suppose the second fraction is : 
The sum of both fraction is given as : 
.......................equation (1)
The difference of both fraction is given as : 
.........................equation (2)
Adding equation (1) and equation (2)


making common denominator


Hence,

Plugging the value of
in equation (1)

Subtracting
in both sides


Hence both fractions are
...................Answer
Hope it will help :)