Answer:
3(2 - y)(2 + y)(4 + y²)
Step-by-step explanation:
48 - 3y⁴
Take 3 common:
3(16 - y⁴)
16 is 4² and y⁴ is (y²)²
3(4² - (y²)²)
Using a² - b² = (a - b)(a + b)
3(4 - y²)(4 + y²)
Again, 4 = 2²
3(2² - y²)(4 + y²)
3(2 - y)(2 + y)(4 + y²)
Complete question :
The table shows data collected on the relationship between time spent playing video games and time spent with family. The line of best fit for the data is ý = -0.36x + 94.5.
Video Games (Minutes) Time with Family (Minutes)
40 80
55 75
70 69
85 64
A) According to the line of best fit, the predicted number of minutes spent with family for someone who spent 36 minutes playing video games is 81.54.
B) Is it reasonable to use this line of best fit to make the above prediction?
Answer:
81. 54
4) The estimate, a predicted time of 81.54 minutes, is both reliable and reasonable.
Step-by-step explanation:
Given that :
The equation of best fit is defined as :
ý = -0.36x + 94.5.
A.) Predicted number of minutes spent with family (y) for someone who spends 36 minutes playing games (x) will be :
x = 36
From the model :
ý = -0.36(36) + 94.5
y = - 12.96 + 94.5
y = 81.54
Hence.nunber of minutes spent with family = 81.54 minutes.
B.) The correlation Coefficient for the model is - 0.9993, which indicates a very strong negative relationship between both variables. Hence, using this fact, we can conclude that the prediction is reliable. From the data also, spending 36 minutes playing games means such individual will have more time than someone who plays games for 40 minutes, hence, the prediction is also reasonable.
Answer:
The man is envious because he's jealous of the dog's fur. For he has natural covering and is kept warm because of it. The man has to wear several layers of clothing to be warm while the dog is warm enough with his fur/natural covering.
When you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. f(x) = x2 and f(x + h) = (x + h) Therefore, the slope of the secant line between any two points on this function is 2x + h.
