Y = mx + c
-4 = 2(3) + c
-4 = 6 + c
-10 = c
y = mx + c
y = 2x - 10
Hence, the equation is y=2x-10.
Answer:
3rd option: B(C)= 1.79C +86.03
Step-by-step explanation:
Total bill
= cost of cans(number of cans) +cost of other groceries
Let the cost of other groceries be G, and the cost of cans be X.
Given that number of cans= C,
Total bill= XC +G
If 2 cans were purchased,
2X+G= 89.61 -----(1)
If 5 cans were purchased,
5X +G= 94.98 -----(2)
(2) -(1):
(5X +G) -(2X +G)= 94.98 -89.61
5X +G -2x -G= 5.37
3X= 5.37
X= 5.37 ÷3 <em>(</em><em>÷</em><em>3</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
X= 1.79
Subst. X= 1.79 into (1):
2(1.79) +G= 89.61
3.58 +G= 89.61
G= 89.61 -3.58 <em>(</em><em>-3.58</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
G= 86.03 <em>(</em><em>simplify</em><em>)</em>
Total bill
= XC +G
= 1.79C +86.03
Thus, the function is B(C)= 1.79C +86.03.
Answer:
Step-by-step explanation:
Three cards are randomly selected from a standard 52-card deck.
Number of heart cards in a deck = 13
Each card replaced in the deck before the next one is picked.
Probability of first card is heart = 
After replacement, the probability of second card is heart = 
after replacement, the probability of third card is heart = 
P = 
× ×
= 
=
The probability of all three cards are hearts is
5.76+2.31 (because - and a - equals a +) = 8.07
10.64-8.07(because a negative at front of a subtraction problem is the same thing) = -2.57
