Answer:
x = 3
Step-by-step explanation:
Given
7(x + 2) - 5 = 30 ( add 5 to both sides )
7(x + 2) = 35 ( divide both sides by 7 )
x + 2 = 5 ( subtract 2 from both sides )
x = 3
Y = x + 6
y = -3x + 6
put the system of linear equations into standard form
x - y = -6
-3x - y = -6
solution:
x = 0
y = 6
Answer:
and growth rate factor is 0.075
Step-by-step explanation:
The function that models the population of iguanas in a reptile garden is given by
, where x is the number of years.
Since, 
i.e.
.
Therefore, the monthly growth rate function becomes,
i.e.
.
i.e.
.
Hence, the monthly growth rate is i.e.
.
Also, the growth factor is given by
= 0.075.
Thus, the growth factor to nearest thousandth place is 0.075.
Answer:
the trainee calculated the incorrect amount
It should be 0.5 mL
Step-by-step explanation:
The physician orders penicillin 500,000 units for a patient while the concentration of the drug you have is 1,000,000 units/ 1mL. It's clear that 1mL drug is too much for the patient since 1,000,000 units are higher than 500,000 units.
The amount of penicillin in 1.5 mL will be definitely higher than 1,000,000 units, so it must be a lot higher than the physician's orders. We can roughly guess that the trainee draws an incorrect amount.
To calculate the exact volume you need, you have to divide the amount of the drug you need with the concentration of the drug. The calculation will be:
the volume needed = amount of the drug you need/ concentration of the drug
volume needed = 500,000 units / (1,000,000 units/ 1mL)= 1/2 mL = 0.5 mL
Answer:
E) None of the above
Step-by-step explanation:
Given
and
, then
. This shifts the graph of the parent function
2 units to the left. Thus, the domain of the function is
, making none of the above true.