Answer:
Step-by-step explanation:
4x - (x + 3) +5(2x - 8) = 4x + x*(-1) + 3*(-1) + 2x * 5 + (-8) * 5
= 4x - x - 3 + 10x - 40 {combine like terms}
= 4x - x + 10x - 3 - 40
= 13x - 43
Answer:-3
Step-by-step explanation:
10*10-100/*5*5*2-3
Answer:
f = 3.1
Step-by-step explanation:
First you must subtract 6.4 from both sides to get -4.8f = -14.88. Divide both sides by -4.8 to get f = 3.1
Subdividing [0, 8] into 4 equally-spaced subintervals, each one will have length ∆x = (8 - 0)/4 = 2, and the partition is
[0, 2] U [2, 4] U [4, 6] U [6, 8]
We approximate the integral with a left endpoint sum. The left endpoint of the i-th subinterval is
![\ell_i = 2(i-1)](https://tex.z-dn.net/?f=%5Cell_i%20%3D%202%28i-1%29)
where 1 ≤ i ≤ 4.
Then the integral is approximated by
![\displaystyle \int_0^8 g(x) \, dx \approx \sum_{i=1}^4 g(\ell_i) \Delta x \\\\ = 2 (g(0) + g(2) + g(4) + g(6)) \\\\ = 2 (-1 - 3 - 1.25 - 1.5) = \boxed{-13.5}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cint_0%5E8%20g%28x%29%20%5C%2C%20dx%20%5Capprox%20%5Csum_%7Bi%3D1%7D%5E4%20g%28%5Cell_i%29%20%5CDelta%20x%20%5C%5C%5C%5C%20%3D%202%20%28g%280%29%20%2B%20g%282%29%20%2B%20g%284%29%20%2B%20g%286%29%29%20%5C%5C%5C%5C%20%3D%202%20%28-1%20-%203%20-%201.25%20-%201.5%29%20%3D%20%5Cboxed%7B-13.5%7D)
Answer: Triangle TRI has an area of mn/2 cm²( area of triangle 1/2× base×height= 1/2×m×n:mn/2) whereas rectangle RECT has an area of nm cm² ( area of rectangle is length×width= n×m:nm cm²)