Answer:
f(5) = 26.672 which is option D
Step-by-step explanation:
From question, f(1) = 2 and f'(x)=√(x^3 + 6)
f(5) = f(1) + (5,1)∫ f'(x) dx
Integrating using the boundary 5 and 1;
f(5) = 2 + (5,1)∫√(x^3 + 6) dx
f(5) = 2 + 24.672
So f(5) = 26.672
Answer:
A. 12
Step-by-step explanation:
$1,150.89 - $200.13 = $950.76
$950.76 / $79.23 weekly = 12 weeks
To check:
12 weeks x $79.23 = $950.76
$950.76 + $200.13 = $1,150.89
For this case we must find the product of the following expressions:![(-2x ^ 2 + x-5) (x ^ 3-3x-4) =](https://tex.z-dn.net/?f=%28-2x%20%5E%202%20%2B%20x-5%29%20%28x%20%5E%203-3x-4%29%20%3D)
We must apply distributive property, that is, multiply each term:
We must bear in mind that:
![+ * - = -\\- * - = +](https://tex.z-dn.net/?f=%2B%20%2A%20-%20%3D%20-%5C%5C-%20%2A%20-%20%3D%20%2B)
![-2x ^ {2 + 3} + 6x^{2 + 1} + 8x ^ 2 + x^{3 + 1} -3x^{1 + 1} -4x-5x ^ 3 + 15x + 20 =\\-2x ^ 5 + 6x ^ 3 + 8x ^ 2 + x ^ 4-3x ^ 2-4x-5x ^ 3 + 15x + 20](https://tex.z-dn.net/?f=-2x%20%5E%20%7B2%20%2B%203%7D%20%2B%206x%5E%7B2%20%2B%201%7D%20%2B%208x%20%5E%202%20%2B%20x%5E%7B3%20%2B%201%7D%20-3x%5E%7B1%20%2B%201%7D%20-4x-5x%20%5E%203%20%2B%2015x%20%2B%2020%20%3D%5C%5C-2x%20%5E%205%20%2B%206x%20%5E%203%20%2B%208x%20%5E%202%20%2B%20x%20%5E%204-3x%20%5E%202-4x-5x%20%5E%203%20%2B%2015x%20%2B%2020)
If we multiply
we would obtain the same result according to the commutative property of the multiplication:
![a * b = b * a](https://tex.z-dn.net/?f=a%20%2A%20b%20%3D%20b%20%2A%20a)
Answer:
![-2x ^ 5 + 6x ^ 3 + 8x ^ 2 + x ^ 4-3x ^ 2-4x-5x ^ 3 + 15x + 20](https://tex.z-dn.net/?f=-2x%20%5E%205%20%2B%206x%20%5E%203%20%2B%208x%20%5E%202%20%2B%20x%20%5E%204-3x%20%5E%202-4x-5x%20%5E%203%20%2B%2015x%20%2B%2020)
Answer:
D
Step-by-step explanation:
Answer:
r=-2/3 or r= 6
Step-by-step explanation:
To solve this equation to find r, first subtract 5 from both sides.
3r² - 16r -7 -5= 5 -5
3r² - 16r -12= 0 (simplify)
(3r + 2)(r - 6)= 0 (factorise the equation)
3r+2=0 or r-6=0
3r= -2 or r= 6
r= -2/3