Answer:
$122.50
Step-by-step explanation:
All you have to do is plug in the number(s). In this case, you put 1.5 in for "h", and you multiply 35 by 1.5, which gets you 52.5, then you just add 70, which gets you 122.50.
Answer:
The expression is


Step-by-step explanation:
we know that
The equation of a exponential growth function is equal to

where
y is the population
x is the number of years
r is the rate of change
a is the initial value or y-intercept
we have

substitute the given values


For x=5 years
substitute in the exponential equation


Answer:
OPTION C
Step-by-step explanation:
IN OPT. A- 2 IS MULTIPLED IN EACH NO.
IN OPT.B-2 IS MULTIPLED
IN OPT.D-1 IS ADDED
IN OPT.E-2 IS ADDED
We start off with 50 as our room temperature.
Then we subtract off 4h to indicate the temperature drops 4 degrees per hour
You can think of it like this
1 hour = drop by 4 degrees
h hours = drop by 4h degrees (multiply both sides by h)
So the expression 50-4h represents the temperature after h hours. We want this to be below 32, so 50-4h < 32 is the inequality we're after
Solving for h leads to
50-4h < 32
-4h < 32-50 ... subtract 50 from both sides
-4h < -18
h > -18/(-4) ... divide both sides by -4; note the inequality sign flips
h > 4.5
If you go beyond 4.5 hours, then the temperature will be below 32 degrees
notes:
- 4.5 hours = 4 hours, 30 minutes = 270 minutes
- the inequality sign flips whenever you divide both sides by a negative number
Answer:
The solution in the attached figure
Step-by-step explanation:
Let
x-----> the number of oranges
y-----> the number of apples
we know that
The inequality that represent this situation is

The solution is the shaded area below the solid line between the positive whole numbers values of x and y
using a graphing tool
see the attached figure