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:
Step-by-step explanation:
Since you are multiplying the same thing by itself, it'll have an exponential value, so count the t's and that is your exponent. Don't forget the "-" sign.
Assuming you get paid every week.
Total num of weeks in a year = 52
Therefore weekly salary = 42,700/52 = 821.15
Salary of first 6 weeks = 821.15 * 6 = 4926.92
20% of first 6 weeks salary = 0.2 * 4926.92 =985.38
You must pay the ACME $985.38
Answer:
3.51 (round to the nearest hundreds)
Step-by-step explanation:
PART A
slope of the line passing through AC : (6-1)/(1-2) = 5/-1 = -5
equation of the line passing through B and perpendicular to AC:
y-3 = 1/5(x-3)
y-3 = 1/5x -3/5
y = 1/5 x - 3/5 + 3
y = 1/5 x + (-3+15)/5
y = 1/5 x + 12/5
PART B
line that passes through the points A and C
y-1 = -5(x-2)
y = -5x+10 + 1
y = -5x + 11
Interception of the lines
y = 1/5x + 12/5
y = -5x + 11
-5x + 11 = 1/5x + 12/5
-25x +55 = x + 12
26x = 43
x = 43/26
y = -5(43/26) + 11
y= -215/26 + 11
y = (-215+286)/26 = 71/26
D (1.65, 2.73)
PART C
AC = 
= 5,09902
BD = 
= 1,376735
PART D
AREA = (5,09902 * 1.376735)/2 = 3,509999
The answer is D
Pedro added $35, then took away $50 dollars, which graph D shows. Graph B also shows this, however it's in the wrong order, making it incorrect
