(a² + b² - 2ab) + 2ac - 2bc = (a - b)² + 2c(a-b) = (a-b)(a-b +2c)
Answer:
-6
Step-by-step explanation:
Given that :
we are to evaluate the Riemann sum for 
from 2 ≤ x ≤ 14
where the endpoints are included with six subintervals, taking the sample points to be the left endpoints.
The Riemann sum can be computed as follows:
where:
a = 2
b =14
n = 6
∴
Hence;
Here, we are using left end-points, then:
Replacing it into Riemann equation;
Estimating the integrals, we have :
= 6n - n(n+1)
replacing thevalue of n = 6 (i.e the sub interval number), we have:
= 6(6) - 6(6+1)
= 36 - 36 -6
= -6
Answer:
70x³ - 73x² - 155x + 168
Step-by-step explanation:
Given
(5x - 7)(2x + 3)(7x - 8) ← expand the first pair of factors using FOIL
= (10x² + x - 21)(7x - 8)
Each term in the second factor is multiplied by each term in the first factor, that is
10x² (7x - 8) + x(7x - 8) - 21(7x - 8) ← distribute the 3 parenthesis
= 70x³ - 80x² + 7x² - 8x - 147x + 168 ← collect like terms
= 70x³ - 73x² - 155x + 168
Answer:
Step-by-step explanation:
<u>Use the slope formula:</u>
10.
- m = (6.24 - 3.27)/(5 - 2) = 2.97/3 = 0.99
11.
- m = (240 - 360)/(3 - 1) = -120/2 = -60
12.
- m = (8.84 - 6.09)/(7 - 2) = 2.75/5 = 5.5
Answer:
63,127
Step-by-step explanation:
the interval between each number is multiplied by 2
such as between 1 and 3 we have 2 so 2×2=4
the 4+3=7 and so on
