The answer is 7R5. Definitely
Answer:
D
Step-by-step explanation:
for a table to represent a function each x value can only have one y value here we see 5 have two different values, 3 and 2, so it is not a function
Given plane Π : f(x,y,z) = 4x+3y-z = -1
Need to find point P on Π that is closest to the origin O=(0,0,0).
Solution:
First step: check if O is on the plane Π : f(0,0,0)=0 ≠ -1 => O is not on Π
Next:
We know that the required point must lie on the normal vector <4,3,-1> passing through the origin, i.e.
P=(0,0,0)+k<4,3,-1> = (4k,3k,-k)
For P to lie on plane Π , it must satisfy
4(4k)+3(3k)-(-k)=-1
Solving for k
k=-1/26
=>
Point P is (4k,3k,-k) = (-4/26, -3/26, 1/26) = (-2/13, -3/26, 1/26)
because P is on the normal vector originating from the origin, and it satisfies the equation of plane Π
Answer: P(-2/13, -3/26, 1/26) is the point on Π closest to the origin.
Answer B is correct --> y = 3.50x + 45
y represents the total cost
x represents the number of miles towed (since it costs 3.50 per one mile, that's why the variable x needs to be here because we don't know how many miles we'll have yet)
5 x 5 x 5, 5^3 and 125
Step-by-step explanation:
