Answer:
-16 > n or n < -16
Step-by-step explanation:
First, we can write the inequality and distribute.
-6n-12 > 3(-n+12)
-6n-12 > -3n+36
Get rid of a variable first (it makes solving a lot easier). We can add 6n to both sides.
-6n-12 > -3n+36
<u>+6n +6n</u>
-12 > 3n+36
Now, we can subtract 36 on both sides.
-12 > 3n+36
<u>-36 -36</u>
-48 > 3n
Divide by 3 on both sides.
-48 > 3n
<u>/3 /3</u>
-16 > n or (if it's easier) n < -16
Hope this helps!! Have a wonderful day C:
To determine the distance traveled by Henry for a certain amount of time, we need data on the rate or speed of Henry driving. From the problem statement, it is given to be 25 miles per hour. So, we simply multiply the time to the rate to give us the distance.
Distance = 25 miles / hour ( 15 minutes ( 1 hour / 60 minutes )) = 6.25 miles
Remember that the y-intercept is obtained when the value of x is set to zero. This means that the y-intercept is the value of the height without sunlight yet. This also refers to the original height of the plant. This gives:
y = 4 + 2(0) = 4
So, the original height of the plant is 4 mm.
The formula also indicates that when sunlight is present, a height of 2mm is increased every hour of sunlight exposure.
Answer:
Step-by-step explanation:
(1+tan²x)/(tan²x) =
1/tan²x + tan²x/tan²x =
cos²x/sin²x + 1 =
cos²x/sin²x + sin²x/sin²x =
(cos²x + sin²x) / sin²x =
1/sin²x =
csc²x.
QED