Answer:
3/12
Step-by-step explanation:
chocolate frosting would be 9/12
Answer:
ANGLE 2 and ANGLE 3 are Vertically Opposite angles.
Answer:
The information that was collected by each of the four methods is;
The participant's favorite coach of the Dallas Cowboys.
Step-by-step explanation:
For each of the four methods listed, the question that stood out was the favorite coach of the Dallas Cowboys among the participants in the study.
Questionnaire: one of the questions was, who is your favorite coach of the Dallas cowboys?
Interview: I asked him which coach was his favorite
Observation: I knew he was kidding because he had a smirk on his face. This observation showed that Barry Switzer was not really his favorite coach.
Historical data: I asked him which coach was his favorite and he said, "Barry Switzer because he was the last one to win a championship." This historical data shows that the reason why Barry Switzer was chosen as the researcher's favorite coach was that he was the last to win a championship.
To find the x intercept of the function, we would find g(x) = 0
To do this, we would set each expression in the piecewise function to zero and solve for x. We have
For
x/3 + 2 = 0
let us multiply both sides of the equation by 3. We have
x/3 * 3 + 2 * 3 = 0 * 3
x + 6 = 0
x = - 6
- 6 is less than - 1
- 6 < - 1
It satisfies the inequality. Thus, x = - 6 is in the domain
For
4x - 2 = 0
adding 2 to both sides of the equation, we have
4x - 2 + 2 = 0 + 2
4x = 2
Dividing both sides of the equation by 4, we have
4x/4 = 2/4
x = 1/2
x = 1/2 is less than 1. It is not in the domain of this equation. Thus, there is no x interscept at x = 1/2
Therefore, the x intercept of the piecewise function is (- 6, 0)
Answer:
- <u>$45</u> (with the assumption made below)
Step-by-step explanation:
The equation is garbled; thus, to explain you I will assume the equation is
Where:
- R(s) is the revenue in dollars, as a function of the number of seats occupied.
- s is the variable that represents the number of seast occupied
- 14 is the rate of change of the revenue per seat occupied (the price of a ticket).
- -325 is the fixed cost of the theater for a performance (the amount of money the theater will lose if none seat is occupied).
Thus, you can predict the revenue when 70 seats are occupied by substituting s with 70.
- R(70) = -325 + 980 = $655
The <em>residual value</em> from a prediction is equal to the real value (observed value) less the preducted value:
- Residual = real revenue - predicted revenue
- Residual = $700 - $655 = $45
