Answer:
see explanation
Step-by-step explanation:
A translation using the vector < 3, - 4 > , means
Add 3 to the x- coordinate and subtract 4 from the y- coordinate, so
M (- 3, - 2 ) → M' (- 3 + 3, - 2 - 4 ) → M' (0, - 6 )
N (- 1, 4 ) → N' (- 1 + 3, 4 - 4 ) → N' (2, 0 )
P (2, 4 ) → P' (2 + 3, 4 - 4 ) → P' (5, 0 )
Q (4, - 2 ) → Q' (4 + 3, - 2 - 4 ) → (7, - 6 )
The price of 1 hat is $ 5 and price of 1 t-shirt is $ 8
<em><u>Solution:</u></em>
Let "s" be the price of 1 shirt
Let "h" be the price of 1 hat
<em><u>Given that Jones buys 7 t-shirts and 6 hats for $86</u></em>
Therefore, we can frame a equation as:
price of 1 shirt x 7 + price of 1 hat x 6 = 86

7s + 6h = 86 ------ eqn 1
<em><u>Also given that The price of each t shirt is $3 more than the price of each hat</u></em>
price of 1 shirt = 3 + price of 1 hat
s = 3 + h -------- eqn 2
<em><u>Let us solve eqn 1 and eqn 2</u></em>
Substitute eqn 2 in eqn 1
7( 3 + h ) + 6h = 86
21 + 7h + 6h = 86
21 + 13h = 86
13h = 86 - 21
13h = 65
<h3>h = 5</h3>
From eqn 2,
s = 3 + h = 3 + 5 = 8
<h3>s = 8</h3>
Thus price of 1 hat is $ 5 and price of 1 t-shirt is $ 8
Quadratic formula and the solution is 6