Answer: x = 1 and -16
Explanation:
(4x^32 - 14x^16 + 2x^3 - 8)/x - 1
x - 1 = 0
x = 1
f(x) = 4x^32 - 14x^16 + 2x^3 - 8
f(1) = 4(1)^32 - 14(1)^16 + 2(1)^3 - 8
f(1) = 4 - 14 + 2 - 8
f(1) = -10 - 6
f(1) = -16
Therefore, the remainder is -16
Part A
The first thing we must do for this case is to rewrite both expressions.
We have then:
1/2 (7x + 48) = (7/2) x + 24
- [1 / 2x - 3] + 4 (x + 5) = - (1/2) x + 3 + 4x + 20 = (7/2) x + 23
Answer:
We note that the first expression is greater than the second for all values of x.
Part B:
A new expression that is greater than both written expressions is:
(7/2) x + 25
For all values of x, this expression is always greater.
Answer:
(7/2) x + 25
Answer: The volume is 90.47 
Step-by-step explanation:
1. To solve this problem you need to use the formula for calculate the density, which is shown below:
Where 
is the mass and 
is the volume.
2. You must solve for the volume, as following:
3. Now, you must substitute the values of the mas and the density, which are given in the problem. Therefore, you have:
The equation of the line in slope-intercept from would be y=3x-3.
3x is the slope also known as the rise over run.
-3 is the y-intercept, where the line cross the y-axis on the graph.
