Answer:
-40 < t < 284
Step-by-step explanation:
The antifreeze protects the car between −40°C and 140°C.
Using t for temperature, the compound inequality of the Celsius temperature range is:
-40 < t < 140
The conversion formula is given to find degrees C in given degrees F. We can solve the formula for F, so we get degrees F in terms of degrees C.
C = (5/9)(F - 32) <------ <em>conversion formula from deg F to deg C</em>
Solve for F:
(9/5)C = F - 32
(9/5)C + 32 = F
F = (9/5)C + 32 <------ <em>conversion formula from deg C to deg F</em>
Now we convert -40 deg C to deg F using the formula we just derived.
F = (9/5)C + 32
F = (9/5)(-40) + 32
F = -72 + 32
F = -40
-40 deg C = -40 deg F
(This is not a mistake or a typo. -40 deg C really is the same as -40 deg F.)
Now we convert 140 deg C to deg F using the formula we just derived.
F = (9/5)C + 32
F = (9/5)(140) + 32
F = 252 + 32
F = 284
140 deg C = 284 deg F
Now we rewrite the compound inequality with Fahrenheit temperatures.
-40 < t < 284
Answer:
27 hours
Step-by-step explanation:
The regular hours are paid normally, 21/hr hence working for 40 hours, Michael earns 40*21=$840
To work x hours paid overtime as 1.5 of the normal rate, the rate would be $21*1.5=$31.5/hr
X hours multiplied by rate of $31.5/hr should be at least equal to $840
31.5x>=840
X>=840/31.5>=26.6667 hours and when rounded off
X is 27 hours
| x - 8| = 3
x - 8 = 3 - (x - 8) = 3
x = 3 + 8 -x + 8 = 3
x = 11 -x = 3 - 8
-x = - 5
x = 5
Minimum : 5% Maximum : 11% if u need them added it is 16%
Answer:
Step-by-step explanation:
g(x) is the translation of the parent function f(x) to left by 1 unit and slightly stretched vertically.
<u>g(x) is:</u>
<em>See attached with both graphs included</em>
825/3 = 275 which is how many miles she drove in January.
275*4= 1100 which is how many miles she drove in February.
Ms. Turner drove 1100 miles in February.
