Answer:
the amount of products a company sells directly affects the amount of money it has
Answer:
11.6
Step-by-step explanation:
<u>Solving with steps as below:</u>
- 31*r+1.1*(35−31)*r = 410.64
- 31r + 1.1*4r = 410.64
- 31r + 4.4r = 410.64
- 35.4r = 410.64
- r = 410.64/35.4
- r = 11.6
<u>Answer is:</u> r =11.6
Answer:
-5m-1
Step-by-step explanation:
You have to multiply the negative sign by 5m and 1.
(-)(5m)= -5m
(-)(1)= -1
-5m - 1
<span>In order to rewrite the polynomial expression (x+5)+3(a+(6x)y) into </span>(5+x)+3(a+(6x)y) the commutative property of addition is used.
The commutative property is most commonly used property in maths. According the commutative property of addition changing the order of addends does not change the sum. Which means that x+5=5+x, and because of this :
<span>(x+5)+3(a+(6x)y) = (5+x)+3(a+(6x)y)</span>
The equation of the required plane can be obtained thus:
-4(x + 1) + 4(y + 3) + 3(z - 1) = 0
-4x - 4 + 4y + 12 + 3z - 3 = 0
4x - 4y - 3z = 5
Let x = 1, y = 2, then 4(1) - 4(2) - 3z = 5
z = (4 - 8 - 5)/3 = -9/3 = -3
Thus, point (1, 2, -3) is a point on the plane.
Let a = (a1, a2, a3) and b = (b1, b2, b3) be vectors parallel to the plane.
Then, -4a1 + 4a2 + 3a3 = 0 and -4b1 + 4b2 + 3b3 = 0
Let a1 = 2, a2 = -1, then a3 = (4(2) - 4(-1))/3 = (8 + 4)/3 = 12/3 = 4 and let b1 = -1 and b2 = 2, then b3 = (4(-1) - 4(2))/3 = (-4 - 8)/3 = -12/3 = -4
Thus a = (2, -1, 4) and b = (-1, 2, -4)
Therefore, the required parametric equation is r(s, t) = s(2, -1, 4) + t(-1, 2, -4) + (1, 2, -3) = (2s, -s, 4s) + (-t, 2t, -4t) + (1, 2, -3) = (2s - t + 1, -s + 2t + 2, 4s - 4t - 3)
