Answer:
x = 42.5
Step-by-step explanation:
It is said:
If two angles are not corresponding, then they make up 180°. They are more known as supplementary angles.
So the equation is:
a + b = 180°
Substitute
x + 8 + 3 x + 2 = 180°
x + 3x + 8 + 2 = 180°
4x + 10° = 180°
4x = 180° - 10°
4x = 170°
x = 170° ÷ 4
x = 42.5
Answer:
33% off is the better deal
Step-by-step explanation:
1.33 times as much popcorn for the same price is equivalent to 1/1.33 ≈ 0.75 times the price for the original amount of popcorn. That price is equivalent to a sale of 1 - 0.75 = 0.25 = 25% off.
The sale price of 33% off is a better deal (if you don't want the extra popcorn).
Answer:
(a) The temperature at a specific location as a function of time.
This is a continuous function as the temperature cannot increase in an instant like time.
(b) The temperature at a specific time as a function of the distance due west from New York City.
This is a continuous function as the temperature in one location is affected by its neighboring places.
(c) The altitude above sea level as a function of the distance due west from New York City.
The altitude above sea level can be discontinuous at a cliff, or continuous at very deep hole.
(d) The cost of a taxi ride as a function of the distance traveled.
This is a discontinuous function as the cost still raises if you make a stop.
(e) The current in the circuit for the lights in a room as a function of time.
This is a discontinuous function as the function takes the value of 0 when the switch is off and 1 when the switch is on.
The electron traveling speed makes this discontinuous.
Answer:
The reason why it is incorrect to cancel the 4x in the numerator with the 4x in the denominator is because 4x is not a factor of both the numerator and the denominator
Step-by-step explanation:
The denominator of the rational expression, x^2 + 4x - 12 given above is a quadratic equation. It is not factorizable. If we factorize the numerator, 4x - 8, we would have
4 (x - 2).
This means 4x is not a factor of the numerator(4x - 8) and neither is it a factor of the denominator (x^2 + 4x - 12). This is the reason why it is incorrect to cancel the 4x in the numerator with the 4x in the denominator. The factors of the denominator can only be gotten by using the general formula for solving quadratic equations
V= 3 * 6 / 17 = 18 / 17 = 1.058823529 =~ 1.1
