Answer:
y = 4 or y = 6
Step-by-step explanation:
2log4y - log4 (5y - 12) = 1/2
2log_4(y) - log_4(5y-12) = log_4(2) apply law of logarithms
log_4(y^2) + log_4(1/(5y-12)) = log_4(/2) apply law of logarithms
log_4(y^2/(5y-12)) = log_4(2) remove logarithm
y^2/(5y-12) = 2 cross multiply
y^2 = 10y-24 rearrange and factor
y^2 - 10y + 24 = 0
(y-4)(y-6) = 0
y= 4 or y=6
Given
John had a roll containing of wrapping paper
First, he must cut off 5/6 foot because it was torn.
He wants to divide it into 11 pieces.
To proof
As given in question
John had a roll containing of wrapping paper
( solving the mixed fraction form)
First, though, he must cut off 5/6 foot
than we get
Taking the L.C.M of 3 and 6 is 6
=23.83 feet (approx)
He wants to divide it into 11 piece
length of the each piece
length of the each pieces be 2.16 feet ( approx)
Hence proved
Answer:
I think your functions are 
,
and 
If yes then then the third function which is .
Step-by-step explanation:
The function 
where c is a constant has
Domain : 
Range : ( 0 , ∞ )
The above range is irrespective of the value of c.
I have attached the graph of each of the function, you can look at it for visualization.
- <em> ⇒ </em>This function is same as so its range is <em>( 0 , ∞ )</em>.
- <em> ⇒ </em>If we double each value of the function
, which has range ( 0 , ∞ ), but still the value of extremes won't change as 0*2=0 and ∞*2=∞. Therefore the range remains as <em>( 0 , ∞ )</em>.
- <em></em> ⇒ If we add 2 to each value of the function , which has range ( 0 , ∞ ), the lower limit will change as 0+2=2 but the upper limit will be same as ∞. Therefore the range will become as <em>( 2 , ∞ )</em>.
Submarine: -730
Airplane: 9,144
|-730-9,144|=|-9,874|=9,874
|d|: absolute value
The vertical distance between the submarine and airplane is 9,874 meters.
Step-by-step explanation:
The line of best fit is y = 2.599x + 105.08. At x = 20, the estimated height is y = 157.06. The actual height is 160 cm, so the residual is:
160 cm − 157.06 cm = 2.94 cm
