Answer:17
Step-by-step explanation:
Answer:
y = x² + 2x - 48
Step-by-step explanation:
Given the roots of the polynomial are x = 6 and x = - 8 , then the corresponding factors are
(x - 6) and (x + 8) and the polynomial is the product of the factors, that is
y = (x - 6)(x + 8) ← expand using FOIL
y = x² + 2x - 48
Answer: -28’ and -7
Step-by-step explanation:
Perimeter of figure = 3 sides of rectangle + perimeter of semi-circle.
3 sides of rectangle = 15 + 12 + 15 = 42
Perimeter of semi-circle = πr = 3.14 * 6 = 18.84
In short, Your Answer would be: 42 + 18.84 = 60.84 m
Hope this helps!
Answer:
![L(x)=4-x](https://tex.z-dn.net/?f=L%28x%29%3D4-x)
![L(3.9)=0.1\\L(3.99)=0.01](https://tex.z-dn.net/?f=L%283.9%29%3D0.1%5C%5CL%283.99%29%3D0.01)
Step-by-step explanation:
The linear approximating polynomial is: ![L(x) = f(a) + f'(a)(x - a)](https://tex.z-dn.net/?f=L%28x%29%20%3D%20f%28a%29%20%2B%20f%27%28a%29%28x%20-%20a%29)
Given:
at a=0
f(0)=4-0=4
f'(x)=-1, Therefore: f'(a)=-1
Therefore, the linear approximation of f(x) at a=0 is:
![L(x) = f(0) + f'(a)(x - 0)\\L(x)=4-x](https://tex.z-dn.net/?f=L%28x%29%20%3D%20f%280%29%20%2B%20f%27%28a%29%28x%20-%200%29%5C%5CL%28x%29%3D4-x)
We then use our result to approximate 3.9 and 3.99.
![L(3.9)=4-3.9=0.1\\L(3.99)=4-3.99=0.01](https://tex.z-dn.net/?f=L%283.9%29%3D4-3.9%3D0.1%5C%5CL%283.99%29%3D4-3.99%3D0.01)