Answer:
x≥1 or x≤−3
Step-by-step explanation:
x+1≥2 possibility 1
x+1−1≥2−1 Subtract 1 from both sides
x≥1
x+1≤−2 Possibility 2
x+1−1≤−2−1 Subtract 1 from both sides
x≤−3
Volume of the first aquarium = (12" x 13" x 14") = 2,184 inches³
Volume of the second aquarium = (32" x 34" x 35") = 38,080 inches³
The second aquarium has (38,080 / 2,184) = 17.44 times as much
volume as the first aquarium has.
So it'll take the hose 17.44 times as long to fill the second one
= (17.44) x (2 minutes) = 34.9 minutes.
Answer:

Step-by-step explanation:
From the question we are told that:
Function given

Co-ordinates
(x,y)=[1, 4]
Generally the second differentiation of function is mathematically given by

Therefore critical point

Generally the substitutions of co-ordinate into function is mathematically given by
For 1

For 4

For critical point 3

Therefore the maximum value of f(x) = –x2 + 6x over the interval [1, 4] is given by

Answer:
y = x + 2
Step-by-step explanation:
Slope-intercept form is y = mx + b where m is the slope and b is the y-intercept. Here, b is equal to 2 because the line crosses the y-axis at 2. THe slope is rise over run, or the change in y divided by the change in x. From the two points given, we get 3/3 which is equal to 1. 1x equals x, so this gives us "no slope." Putting it together gives us y = x + 2.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather