8 a) y=x² stretched vertically by 8
That means (0,0) stays (0,0), and (1,1) becomes (1,8) and (-1,1) becomes (-1,8)
Answer: y = 8x²
8 b) y=x² compressed vertically by 1/5
Answer: y = (1/5) x²
9.
y = ax² + k through (-1,3) and (3,-13)
That means
3 = a (-1)² + k
-13 = a (3²) + k
Subtracting,
16 = a - 9a = -8a
a = -2
3 = -2 + k
k = 5
y = -2x² + 5
Check:
-2(-1)^2 + 5 = 3, good
-2(3)^2+5 = -18 + 5 = -13, good
Answer: a = -2, k = 5
Answer:
a) nothing and 30 dollars.
Step-by-step explanation:
Opportunity cost usually arises when faced with choices or alternatives such that one has to be chosen, while the other is forgone. The benefits forgone by choosing a certain option of the available choices is called opportunity cost.
Given that :
Option A requires $20 payment
Option B requires $50 payment
Opportunity cost of choosing A = nothing (since payment required for the other alternative is higher than the chosen option)
Opportunity cost of Choosing B = ($50 - $20) = $30 (By choosing option B over option A, $30 was forgone as the other option (option A requires $30 lesser payment)
Answer:
x-12=24, x=36
Step-by-step explanation:
letter X subtract 12 is 24. Add 12 to both sides, and x=36.
