Answer:
a) + x direction, b)
.
Step-by-step explanation:
a) According to the Cartesian plane, an eastward translation implies a movement in the +x direction.
b) 
Answer:
Option c. 18 withdrawals is correct
Step-by-step explanation:
Gareth has to invest = $2,000
His local bank gives 2.2% annual interest and gives him the ability to make ATM withdrawals without any charges.
In an online savings gives 4.85% annual interest, but charges $3 every time he makes an ATM withdrawal.
Let us find the amount of interest earned from the local bank.
The amount of interest earned from Local Bank = 2.2% of 2000
=
× 2000
= 0.022 × 2000 = $44
The amount of interest earned from online savings = 4.85% of 2000
=
× 2000
= 0.0485 × 2000 = $97
As it is given that savings account has no ATM withdrawal charges but online savings account charge $3.00 per withdrawal.
so we need to make x withdrawals from both accounts such that:
97 - 3x = 44
Let us solve for x.
Upon subtracting 97 from both sides of or equation we will get,
97 - 97 - 3x = 44 - 97
3x = -53

x = 17.666 rounded to 18
Therefore, Gareth must make 18 ATM withdrawals every year for the local savings account to be a better deal than the online savings account.
Answer:
(3, 5.1)(0, 0)(5, 8.5)
Step-by-step explanation:
A proportional relationship occurs only with a linear relationship that goes through the origin.
Û = (-1, -1, -1)
^v = (2, 3, -5)
^v - û = (2 + 1, 3 + 1, -5 + 1) = (3, 4, -4)
Half way from ^v to ^(v - u) = ((3 - 2)/2, (4 - 3)/2, (-4 + 5)/2) = (1/2, 1/2, 1/2)
Halfway from û to ^v = ((2 + 1)/2, (3 + 1)/2, (-5 + 1)/2) = (3/2, 2, -2)
The required vector ^w = ((3/2 - 1/2), (2 - 1/2), (-2 - 1/2)) = (1, 1/2, -5/2)