The system:
3 x + 4 y = 40
x + 6 y = 18,
-------------------
x = 18 - 6 y
3 ( 18 - 6 y ) + 4 y = 40
54 - 18 y + 4 y = 40
54 - 40 = 18 y - 4 y
14 = 14 y
y = $1
x = 18 - 6
x = $12
Answer: Each DVD costs: $12.
Answer:
option b
-3/2
Step-by-step explanation:
Given in the question an expression
ln
First apply logarithm divide rule
= ln1 - ln√e³
ln(1) = 0
so
ln1 - ln√e³ = 0 - ln√e³
-ln√e³ = -ln(e³)^1/2
Apply logarithm power rule
- ln(e³)^1/2 = -lne
-3/2ln(e)
As we know that
ln(e) = 1
so,
-3/2(1)
-3/2
6 cases ordered
'p' jars in each case
Total number of jars is (6 cases) x (p jars/case) = 6p jars
Split 7 ways, each restaurant gets (1/7) of the total order = 6p/7 jars.
I sure hope 'p' is a multiple of 7, or else Harrison might
need to deal with the number of pickles in each jar.
The piecewise function tells us to use 3x-5 if the input (x-value) is anything greater than or equal to -4. Let's just plug in -3 for x and that will be your answer:

Therefore, your answer is A, -14.