CONSECUTIVE NUMBERS; x, x+1
(x+1)4=3(x)+23
4x+4=3x+23
4x-3x=23-4
x=19
x+1=20
THEREFORE the consecutive numbers are 19&20
Answer:
8.2 *10^5 ft lb
Step-by-step explanation:
Wcoal = 800*500 = 400000 = 4*10^5 ft lb
Using a right Riemann sum
The width of the entire region to be estimated = 400 - 0 = 400
Considering 8 equal subdivisions, then the width of each rectangular division is 400/8 = 50
F(x) = 6(400-y)
![\left[\begin{array}{cccccccccc}x&0&50&100&150&200&250&300&350 &400\\f(x)&2400&2100&1800&1500&1200&900&600&300&0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccccccccc%7Dx%260%2650%26100%26150%26200%26250%26300%26350%20%26400%5C%5Cf%28x%29%262400%262100%261800%261500%261200%26900%26600%26300%260%5Cend%7Barray%7D%5Cright%5D)
Wrope = 50(2100) + 50(1800) + 50(1500) + 50(1200) + 50(900) + 50(600)
+ 50(300) + 50(0) = 420000 = 4.2 * 10^5 ft lb
Note: Riemann sum is an approximation, so may not give a accurate value
work done = Wcoal + Wrope= 4*10^5+ 4.2 * 10^5 = 8.2 *10^5 ft lb
Answer: 1)
y < 0
x >= 0
2)
3x - 4y < 1
3x - 4y < 8
3) 4x + y > 4
8x + 2y < -5
4)
3x - y > 1
6x - 2y < 20
Step-by-step explanation:
Answer: the answer is x^2+2x-25
Step-by-step explanation:
Use distributive property
Multiply the two x’s by each other
Multiply the first x by +5
Multiply the -3 by x
Multiply the -3 by +5
You have x^2+5x-3x-15=10
Move the 10 to the left side and simplify
x^2+2x-25
Answer:
In our given values above, we are looking for the equation of the line that passes through points (-8, 5) and whose slope is 2. Well, all we need to do is just to simply plug in the values, m = 2, a = -8 and b = 5.So y – 5 = 2(x – 8) is the point slope form.
Step-by-step explanation:
