33 ÷ 3/4 = 33 × 4/3 = 44. The answer is solved by using this equation
Answer:
10, 11 , 16, 18 &19
Step-by-step explanation:
For this one, you have to use the lateral area formula 2πrh. Since the radius is half the diameter, it is 11. We already have the height being 9 (height is the distance from each base) so we just have to plug in the numbers.
2π(11)(9) then multiply 11 by 9 to get 99.
2π(99) here we have to multiply 2 by 99 which makes 198.
Now we come to 198π. Since none of the answers have π in them, I'm going to assume that π should be used as 3.1415 or so. After we multiply this by 198 we should get 622.017 which is very close to answer D, 622.04.
The polynomial equation is f(x) = (x + 1)(x - 1)(x - 7)(x + 2)
<h3>How to determine the polynomial equation?</h3>
The given parameters are
- Degree of polynomial = 4
- Zeros of the polynomial = -1, 1 and 7
- Constant term = 14
The sum of multiplicities of the polynomial equation must be equal to the degree.
This means that the multiplicity of each zero is 1
The equation of the polynomial is then calculated as
P(x) = (x - zero)^ multiplicity
So, we have
P(x) = (x + 1)(x - 1)(x - 7)(x - a)
Recall that
Constant term = 14
This means that
P(0) = 14
So, we have
(0 + 1)(0 - 1)(0 - 7)(0 - a) = 14
Evaluate
7(0 - a) = 14
Divide by 7
0 - a = 2
So, we have
a = -2
Substitute a = -2 in P(x) = (x + 1)(x - 1)(x - 7)(x - a)
P(x) = (x + 1)(x - 1)(x - 7)(x + 2)
Rewrite as
f(x) = (x + 1)(x - 1)(x - 7)(x + 2)
Hence, the equation of the polynomial equation is f(x) = (x + 1)(x - 1)(x - 7)(x + 2)
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