.
Step-by-step explanation:The cost of an adult ticket to the show is $5.5
The cost of a student ticket to the show is $4.25
A family is purchasing 2 adult tickets and 3 student tickets. This means that the total cost of 2 adult tickets would be
2 × 5.5 = $11
It also means that the total cost of 3 student tickets would be
3 × 4.25 = $12.75
The total cost of 2 adult tickets and 3 student tickets would be
11 + 12.75 = $23.75
If the family pays $25, the exact amount of change they should receive is
25 - 23.75 = $1.25
1/3 ln(<em>x</em>) + ln(2) - ln(3) = 3
Recall that 
, so
ln(<em>x</em> ¹ʹ³) + ln(2) - ln(3) = 3
Condense the left side by using sum and difference properties of logarithms:
Then
ln(2/3 <em>x</em> ¹ʹ³) = 3
Take the exponential of both sides; that is, write both sides as powers of the constant <em>e</em>. (I'm using exp(<em>x</em>) = <em>e</em> ˣ so I can write it all in one line.)
exp(ln(2/3 <em>x</em> ¹ʹ³)) = exp(3)
Now exp(ln(<em>x</em>)) = <em>x </em>for all <em>x</em>, so this simplifies to
2/3 <em>x</em> ¹ʹ³ = exp(3)
Now solve for <em>x</em>. Multiply both sides by 3/2 :
3/2 × 2/3 <em>x</em> ¹ʹ³ = 3/2 exp(3)
<em>x</em> ¹ʹ³ = 3/2 exp(3)
Raise both sides to the power of 3:
(<em>x</em> ¹ʹ³)³ = (3/2 exp(3))³
<em>x</em> = 3³/2³ exp(3×3)
<em>x</em> = 27/8 exp(9)
which is the same as
<em>x</em> = 27/8 <em>e</em> ⁹
Answer:
C. Reasons for changes in trends can be identified.
Step-by-step explanation:
The others would all be disadvantages.
Step-by-step explanation:
the slope is the ratio of "y coordinate difference / x coordinate difference".
so, let's find 2 good points (I mean by that with integer coordinates). I see e.g.
(-1, -1) and (0, -7)
x changes by +1 (from -1 to 0).
y changes by -6 (from -1 to -7).
so, the slope is -6/1 = -6.
D is the right answer.
This is your answer: x= -1/4 or x=5/4. Plze mark me brainiest:)
