Answer:
converts Celsius to Fahrenheit.
converts Fahrenheit to Celsius.
Step-by-step explanation:
Write given data in the table
Let the expression for the function be
Note, that this equation is linear equation and it is well-known fact that the Celsius to Fahrenheit dependence is linear.
Substitute corresponding values into this expression:
Subtract these two equations:
Substitute it into the first equation:
So,
This is the function which converts Celsius to Fahrenheit.
And function
converts Fahrenheit to Celsius.
Answer:
option B
(−1, 0) and (0, 6)
Step-by-step explanation:
Given in the question two equations,
Equation 1
y =−x² + 5x + 6
Equation 2
−6x + y = 6
plug value of y in second equation
−6x −x² + 5x + 6 = 6
-x² -6x + 5x +6 - 6 = 0
-x² - x + 0 = 0
-x² -x = 0
-x(x+1) = 0
x = 0
and
x = -1
plug value of x in second equation to find y
x = 0
−6(0) + y = 6
0 + y = 6
y = 6
and
x = -1
−6(-1) + y = 6
6 + y = 6
y = 0
Answer:
35%
Step-by-step explanation:
Data provided in the question:
P(Master card) = 27% = 0.27
P(American express card) = 19% = 0.19
P( Visa card ) = 22% = 0.22
P( Master and American express card ) = 9% = 0.09
P( Visa and master card ) = 14% = 0.14
P( American express and visa card ) = 6% = 0.06
Now,
The probability of selecting a family that has either a Visa card or an American Express card
= P( Visa card ) + P( American express card ) - P( Visa and American express card )
= 0.22 + 0.19 - 0.06
= 0.35
or
= 0.35 × 100% = 35%
Beths weekly income is 600$ per week.
600 / 0.4 = 240
