Answer: X = 3t, Y =2 - t, Z =2
Step-by-step explanation: the plane
x + y + z =4has normal vector
M =<1,1,1> and the line
x = 1 + t, y = 2 − t, z = 2t has direction
v =<1, −1, 2>. So the vector
A= n × v
=<1, 1, 1> × <1, −1, 2>
=<2−(−1),1−2,−1−1>
=<3,−1,−2>
Answer:
u ≤ 4
Step-by-step explanation:
The given inequality
15 ≤ 39 - 6u
Subtract 39 from both sides, we get
15 - 39 ≤ 39 - 6u - 39
-24 ≤ -6u
Dividing both sides by -6, we get
4 ≥ u [Remember, when we divide by negative, the direction of
the inequality changes]
Which is u ≤ 4.
Thank you.
5x + 3y= 8.50
3x + 2y= 5.25
Lydia is the first equation. She bought 5 pounds of apples which is x and bought 3 pounds of bananas which is y. Basically, remember each banana and apple weighs a price per pound. We don't know the price so we just put an x. This is the same for the second equation
The union of the sets are the values that appear in both sets when plotted in a Venn diagram and if I'm not mistaking, I think the right answer is (B)
Depreciation of 11% per year means that the price is multiplied by 89% (0.89) every year. Do this 11 times or use exponents
Final price:
207000*(0.89^11) = 57446.083
