Answer:
2
Step-by-step explanation:
Step 1:
- 21w + 9 + 8w = - 5w - 5
Step 2:
- 13w + 9 = - 5w - 5
Step 3:
- 7w + 9 = - 5
Step 4:
- 7w = - 14
Step 5:
14 = 7w
Answer:
w = 2
Hope This Helps :)
Answer:3.1944
Step-by-step explanation:
(1÷1×3)+1÷(2×4)+1÷(3×5)+1÷(18×20)
Answer:
You can make NO triangles.
When given 3 sides of a triangle, The longest side must be LESS than the sum of the other 2 sides.
Longest Side = 50 cm
50 is NOT less than 14 + 10, therefore, we have no triangle.
Step-by-step explanation:
Answer:
Step-by-step explanation:
We have the function:
![h(x)=f[f(x)]](https://tex.z-dn.net/?f=h%28x%29%3Df%5Bf%28x%29%5D)
And we want to find:
So, we will differentiate function <em>h</em>. By the chain rule, this yields:
![h^\prime(x)=f^\prime[f(x)]\cdot f^\prime(x)](https://tex.z-dn.net/?f=h%5E%5Cprime%28x%29%3Df%5E%5Cprime%5Bf%28x%29%5D%5Ccdot%20f%5E%5Cprime%28x%29)
Then it follows that:
![h^\prime(1)=f^\prime[f(1)]\cdot f^\prime(1)](https://tex.z-dn.net/?f=h%5E%5Cprime%281%29%3Df%5E%5Cprime%5Bf%281%29%5D%5Ccdot%20f%5E%5Cprime%281%29)
Using the table, we acquire:
And using the table again, we acquire:
Evaluate. Hence:
A. Here's a fifth degree polynomial,
f(x) = x⁵ + 4x⁴ - 14x² + 9
It's in standard form, each term a constant coefficient times a whole number power of x (including the constant, which we can think of as the coefficient on x⁰=1), with the terms sorted from highest degree (highest power on x) to lowest.
B. The closure of addition wrt polynomials just means when we add two polynomials we get another polynomial.
f(x) = x⁵ + 4x⁴ - 14x² + 9
g(x) = -2x⁴ + x
f(x)+g(x) = x⁵ + 2x⁴ - 14x² + x + 9
We added two polynomials, we got another one, that's all closure is.
