Given:
The two functions are:
To find:
The type of transformation from f(x) to g(x) in the problem above and including its distance moved.
Solution:
The transformation is defined as
.... (i)
Where, a is horizontal shift and b is vertical shift.
- If a>0, then the graph shifts a units left.
- If a<0, then the graph shifts a units right.
- If b>0, then the graph shifts b units up.
- If b<0, then the graph shifts b units down.
We have,
The function g(x) can be written as
...(ii)
On comparing (i) and (ii), we get
Therefore, the type of transformation is translation and the graph of f(x) shifts 2 units up to get the graph of g(x).
Hi there!
Since U and V are midpoints of the legs, then UV is the average of both WX and ZY.
Therefore:
(ZY + WX)/2 = UV
Substitute in the given expressions:
[(6x + 5) + (x + 7)]/2 = 8x - 3
Simplify by combining like terms:
(7x + 12)/2 = 8x - 3
Multiply both sides by 2:
7x + 12 = 16x - 6
Subtract 7x from both sides and add 6 to both sides:
18 = 9x
Divide both sides by 9:
18/9 = x
x = 2.
Plug in this value of x into the equation for UV:
8(2) - 3 = 16 - 3 = 13.
Answer:
1/46656 I believe. probability isn't really my strong suit tho.
Step-by-step explanation:
1/6 chance for rolling a one × 1/6 chance of rolling a two and so on.
so you get
1/6 × 1/6 × 1/6 × 1/6 × 1/6 × 1/6 = 1/46656
Answer:
b-4.2<-7.5
Step-by-step explanation:
b-4.2<-7.5
this is because the number given as "b" minus 4.2 (as shown on the left) is less than (<) -7.5, so this inequality makes sense.
Answer:
See attachment
Step-by-step explanation:
