Question 1
The answer is last one. Y would equal 7+24 not 7-24.
Answer:
9216
Step-by-step explanation:
number of small cubes that would fill the prism = volume of prism / volume of small cubes
volume of a prism = length x width x height
3 x 6 x 8 = 144
volume of cube = length³
(1/4)³ = 1/64
144 ÷ 1/64
144 x 64 = 9216
Answer:
3.92
To find the mean absolute deviation of the data, start by finding the mean of the data set.
Find the sum of the data values, and divide the sum by the number of data values.
Find the absolute value of the difference between each data value and the mean: |data value – mean|.
Find the sum of the absolute values of the differences.
Divide the sum of the absolute values of the differences by the number of data values.
Since f(x) is a polynomial with 3rd degree, then it will have 3 roots (zeroes)
One of them is real and the other two are complex conjugate roots
Since the real root is 4, then
x = 4
Since the complex root is (1 - i), then
The other root will be the conjugate of it (1 + i)
x = (1 - i)
x = (1 + i)
To find f(x) we will multiply the three factors of it
We can get the factors from the zeroes

Subtract 4 from both sides

The first factor is (x - 4)

The second factor is (x - 1 + i)
The third factor is (x - 1 - i)

We will multiply them to find f(x)

Multiply it by (x - 4)

The answer is
Not sure but I believe letter B) 3+4 is rational since the answer is 7 and 7 is a rational number and it can be expressed as a quotient. The sum of a rational number and an irrational number is irrational. The sum of two rational numbers is rational