ANSWER
EXPLANATION
The given inequality is,
By the definition of absolute value,
We divide through by negative 1, in the first part of the inequality and reverse the sign to get,
We simplify now to get,
Divide through by 2 to obtain,
9514 1404 393
Answer:
after 7 minutes
19,600 feet
Step-by-step explanation:
Here's the "pencil and paper" solution:
The two altitude equations are ...
y = 41300 -3100x
y = 2800x
They can be solved by setting the expressions for y equal to each other.
2800x = 41300 -3100x
5900x = 41300
x = 41300/5900 = 7
y = 2800·7 = 19600
The planes will both be at 19,600 feet after 7 minutes.
Answer:
about 78 years
Step-by-step explanation:
Population
y =ab^t where a is the initial population and b is 1+the percent of increase
t is in years
y = 2000000(1+.04)^t
y = 2000000(1.04)^t
Food
y = a+bt where a is the initial population and b is constant increase
t is in years
b = .5 million = 500000
y = 4000000 +500000t
We need to set these equal and solve for t to determine when food shortage will occur
2000000(1.04)^t= 4000000 +500000t
Using graphing technology, (see attached graph The y axis is in millions of years), where these two lines intersect is the year where food shortages start.
t≈78 years
Answer:
A is the cheapest deal.
Step-by-step explanation:
find unit rate; cost / quantity
20.20 / 10 = $2.02 per gallon
26.04 / 12 = $2.17 per gallon
28.24 / 24 = $2.01 per gallon
30.45 / 25 = $2.03 per gallon
I believe it is 100 because 462-367=100 so I believe it would be 100
