Answer:
5 1/2.
Step-by-step explanation:
11 divided by 2 is 5 with a remainder of 1.
So the mixed number is 5 1/2.
Let x = the number of hours since 5 a.m.
Let y = temperature, °F
Let the total temperature change be modeled by the expression
y = ax + b
At 5 a.m., x = 0 and y = -9.4°F. Therefore
b = -9.4
When x = 6 hours, y = 2.8°F. Therefore
6a + b = 2.8
6a - 9.4 = 2.8
6a = 12.2
a = 2.0333
The expression is
y = 2.0333x - 9.4
Answer:
y = 2.0333x - 9.4
where
x = hours since 5 a.m.
y = temperature, °F
Answer:
In step-by-step-explanation
Step-by-step explanation:
2) ( x + 1 ) * ( x - 7 ) = x² - 7x + x - 7 ⇒ x² - 6x - 7
In x² - 6x - 7 a = 1 b = -6 c = -7
3) ( x + 9 ) * ( x + 2 ) = x² + 2x + 9x + 18 ⇒ x² + 11x + 18
In x² + 11x + 18 a = 1 b = 11 c = 18
4) ( x - 5 ) * ( x - 3 ) = x² - 3x - 5x + 15 ⇒ x² - 8x + 15
In x² - 8x + 15 a = 1 b = -8 c = 15
5) ( x + 15 ) * 2 * ( x - 1 ) ⇒ ( x + 15 ) * ( 2x - 2 ) ⇒ 2x² -2x + 30x - 30
2x² + 28x - 30 a = 2 ² b = 28 c = 30
6) ( x - 5 ) * ( 4x - 3 ) ⇒ 4x² - 3x - 20x + 15
In 4x² - 3x - 20x + 15 ⇒ a = 4 b = -20 c = 15
Hey! The drink was $1.15 because $10 minus the cost of the lunch ($7.75), tax (0.47), and what was given back in change (0.63) leaves you with $1.15
So theres 366 days in a leap year,
you need to find hours, minutes, and then seconds
366 x 24 = 8,784 hours
8,784 x 60 = 527,040 minutes
527,040 x 60 = 31,622,400 seconds
31,622,400 seconds x 186,182 mps = 5.88 x 10^10
therefore light travels 5.88 x 10^10 in one leap year
