Answer:
Step-by-step explanation:
X=-11 because,
Step 1: Simplify both sides of the equation.
x
2
+
4
x
=
77
Step 2: Subtract 77 from both sides.
x
2
+
4
x
−
77
=
77
−
77
x
2
+
4
x
−
77
=
0
Step 3: Factor left side of equation.
(
x
−
7
)
(
x
+
11
)
=
Given:
There are given the edge of the cube-shaped aquarium has 3 feet.
Explanation:
To find the value, we need to use the volume of the cube formula:
So,
From the formula of volume:

Where
a represents the value of edge.
So,
Put the value of edge into the above formula:
Then,

Now,
The water has a density of 62 pounds per cube foot.
According to the question:
If the weight of 1 cubic foot of water is 62 pounds, then the weight of 27 cube feet water is:

Final answer:
Hence, the water weight of the full aquarium is 1674 pounds, and the table only susupports00 pounds. So the table cannot hold the aquarium.
And,
No, the density of water would not change.
Answer:
(1) 56 miles/hour
Step-by-step explanation:
We need to find the average rate of change from t = 2 to t = 9.
At t = 2 hours, d = 106 miles.
At t = 9 hours, d = 498 miles.
The average rate of change in function f(x) from x = a to x = b is
[f(b) - f(a)]/(b - a)
average rate of change from t = 2 to t = 9 =
(498 - 106)/(9 - 2) = 392/7 = 56
Answer: (1) 56 miles/hour