Answer: His answer is wrong
Explanation:
5(1/5^3) = 5(1^3/5^3) = 5(1/125)
5(5^3) = 5(125)
Let’s compare:
5(1/125) < 5(125)
Because 1/125 is smaller 125
Thus, it is not equal.
Answer:
7.8 feet
Step-by-step explanation:
3 feet in a yard . so you multiply 2.6 by 3. you get 7.8
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
Answer:
h = -1
Step-by-step explanation:
Solve for h:
16 h - 9 = -6 h - 31
Add 6 h to both sides:
16 h + 6 h - 9 = (6 h - 6 h) - 31
6 h - 6 h = 0:
16 h + 6 h - 9 = -31
16 h + 6 h = 22 h:
22 h - 9 = -31
Add 9 to both sides:
22 h + (9 - 9) = 9 - 31
9 - 9 = 0:
22 h = 9 - 31
9 - 31 = -22:
22 h = -22
Divide both sides of 22 h = -22 by 22:
(22 h)/22 = (-22)/22
22/22 = 1:
h = (-22)/22
The gcd of -22 and 22 is 22, so (-22)/22 = (22 (-1))/(22×1) = 22/22×-1 = -1:
Answer: h = -1