Answer:
B
Step-by-step explanation:
5x² - 3 - (x² - 4x - 8)
5x² - 3 - x² + 4x + 8
4x² + 4x + 5
Answer:
6
Step-by-step explanation:
To solve, first plug in 4 as your x value for your g(x) equation.

Next, plug in the value of g(4) into your f(x) equation for x.

Answer:
20 m
Step-by-step explanation:
The distance from the top car to the bottom car is equal to the diameter of the wheel. The diameter is 40 m, and that is twice the radius. The radius of the Ferris wheel is (40 m)/2 = 20 m.
Answer:
^{2}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Bx%5E%7B2%7D%20%2B%208x%20%2B%2041%5D%28x%20%2B%201%29%5E%7B2%7D)
Step-by-step explanation:
If -4 + 5i is a root of a polynomial, then it's conjugate -4 - 5i will also be a root of the same polynomial.
Therefore, the polynomial has 4 degree, and zeroes are (- 4 + 5i), (- 4 - 5i) and -1 with multiplicity 2.
Hence, the polynomial will be

⇒ ![f(x) = [x^{2} + 8x + (4 - 5i)(4 + 5i)] (x + 1)^{2}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Bx%5E%7B2%7D%20%2B%208x%20%2B%20%284%20-%205i%29%284%20%2B%205i%29%5D%20%28x%20%2B%201%29%5E%7B2%7D)
⇒
(Answer)
Answer:
4
Step-by-step explanation:
Simplify the given expression by doing each operation as per the order of operations. The order of operations is a systematic way of tackling an equation, that ensures that the result attained will be true when one solves the equation; remember, the order of operations states;
1. Parenthesis
2. Exponents
3. Multiplication/ Division
4. Addition/ Subtraction
Simplify the equation by combining terms as per the order of operations;
[ ( 4 + 8 ) * 3 ] / 9
= [ 12 * 3 ] / 9
= 36 / 9
= 4