Answer:
B
Step-by-step explanation:
B'(7, -4)
Let the pre-image coordinates be (x,y)
Consider x-coordinate,
x + 4 = 7
x = 3
Consider y-coordinates,
y + 5 = -4
y = -9
pre-image coordinates is (3, -9)
- 9 x * ( x - 1 ) + ( - x ) * ( - 3 x + 4 ) =
= - 9 x² + 9 x - x * ( - 3 x + 4 ) =
= - 9 x² + 9 x + 3 x² - 4 x =
= - 9 x² + 3 x² + 9 x - 4 x =
= - 6 x² + 5 x
There are 7 numbers.
Each number can be paired with the remaining 6 numbers.
7 x 6 = 42 different two digit numbers can be made.
Answer:
$3 and $2
Step-by-step explanation:
let p represent popcorn and d drinks , then
2p + 3d = 12 → (1)
3p + 5d = 19 → (2)
multiplying (1) by 3 and (2) by - 2 and adding will eliminate p
6p + 9d = 36 → (3)
- 6p - 10d = - 38 → (4)
add (3) and (4) term by term to eliminate p
0 - d = - 2
- d = - 2 ( multiply both sides by - 1 )
d = 2
substitute d = 2 into either of the 2 equations and solve for p
substituting into (1)
2p + 3(2) = 12
2p + 6 = 12 ( subtract 6 from both sides )
2p = 6 ( divide both sides by 2 )
p = 3
Popcorn costs $3 and a drink costs $2
