9514 1404 393
Answer:
- pancake: $0.50
- waffle: $1.20
Step-by-step explanation:
You can model the bills using w and p for the price of a waffle and pancake, respectively.
10w + 4p = 14
5w +8p = 10
Subtract half the first equation from the second:
(5w +8p) -(1/2)(10w +4p) = (10) -(1/2)(14)
6p = 3 . . . . . . . simplify
p = 0.50 . . . . . divide by 6
10w + 4(0.50) = 14 . . . . substitute into the first equation
10w = 12 . . . . . . . . . . . . subtract 2
w = 1.20 . . . . . . . . . . . . .divide by 10
A waffle costs $1.20; a pancake costs $0.50.
For a relation to be a function, each input must lead to a UNIQUE output. i.e. the same input must not lead to different outputs which is the case in TABLES A, B and D. Therefore, only table C represents a function.
Answer:
Step-by-step explanation:
Correct Answer = 5
Incorrect Answer = -2
Unanswered = 0
22 correct answers = 22*5 = 110
15 incorrect answers = 15*-2 = -30
7 unanswered = 7*0 = 0
Add all the answers up : 110-30+0
Score = 80
Answer:
The possible values for x are 4 and 0.25.
Step-by-step explanation:
In order to solve for "x" in the equation we first need to sum "x" and "1/x", to do that we must apply LMC as shown below:
x + 1/x = 17/4
(x² + 1)/x = 17/4
4*(x² + 1) = 17*x
4*x² + 4 = 17*x
4*x² + 4 - 17*x = 0
4*x² - 17*x + 4 = 0
x = [-(-17) + sqrt((-17)² - 4*(4)*(4))]/(2*4) = 4
x = [-(-17) - sqrt((-17)² - 4*(4)*(4))]/(2*4) = 0.25
The possible values for x are 4 and 0.25.