Answer:
The cost for 5 songs is $5.35
Step-by-step explanation:
Find the unit rate for 1 song by dividing the total cost for 3 songs by 3
$3.21 ÷ 3 = $1.07
The unit rate is $1.07 per song, so multiply that by 5 to find the total cost for 5 songs
$1.07 * 5 = $5.35
On the equation log 1/9/k, this can be simplified by applying the quotient property of logarithms which says that the log a/b is equivalent to the difference of log a and log b. In the case of the given equation, log 1/9/k is equal to log 1/9 - log k. (Option A)
Answer:
10 units
Step-by-step explanation:
Formula to find the distance between two points 
and 
is,
d = 
Distance between two points (0, -7) and (-6, 1) will be,
d = 
= 
= 
= 10
Therefore, distance between the given points is 10 units.
F(x)= ∫ln²x/x dx= ∫ln²xd(lnx) cause d(lnx)= (lnx)'dx=1/x dx
= ln³x/3 +C with C is constant
In addition, we have f(2)=6, so we have 6=ln³2/3+C
or C= 6- <span>ln³2/3
And f(x)= </span>ln³x/3+ <span> 6- </span><span>ln³2/3</span>
Answer:
D. (x, y) → (x, −y)
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.
The orientation shows how an object is arranged. Rotation, translation and dilation preserves orientation while reflection does not preserve orientation.
The transformation (x, y) → (4x, 4y) shows the dilation by a scale factor of 4. Dilation preserve orientation.
The transformation (x, y) → (−y, x) shows the rotation of a point 90 degrees counterclockwise. Rotation preserve orientation.
The transformation (x, y) → (14x, 14y) shows the dilation by a scale factor of 14. Dilation preserve orientation.
The transformation (x, y) → (x, −y) shows a reflection over the x axis. Reflection does not preserve orientation.
