Answer:
Hope this helps :)
Step-by-step explanation:
(a) How would you characterize the relationship between the hours spent on homework and the test scores? Explain
For this case what we see is that we have a scatter diagram, which we can model using a linear trend defining the following variables:
x: number of hours studied.
y: test scores.
The linear relationship would be of the form:
y = mx + b
(b) Paul uses the function y = 8x + 40 to model the situation. What score does the model predict for 3 h of homework?
y = 8x + 40
For three hours of study we have that the note would be approximately:
y = 8 * (3) + 40
y = 64
(c) What does the number 40 in Part (b) mean in the context of the situation?
The number 40 means that if you do not devote any study time, then you expect the test score to be 40.
Answer:
f(x) = x^2 (x + 7i)(x - 7i)
Step-by-step explanation:
Factoring out x^2 gives ...
f(x) = x^2(x^2 +49)
The factor with 49 can be considered to be the difference of two squares, where one of the squares is -49. Then its square root is ±7i, and the factorization of that term is ...
x^2 +49 = (x +7i)(x -7i)
So, the overall factorization of f(x) is ...
f(x) = x^2(x +7i)(x -7i)
Answer:
1st and 2nd option are the correct answers.
Answer:
0
Step-by-step explanation:Velocity at t= 0s is 20m/s and the velocity at t= 10s is 20m/s.
a= 20-20/ 10s
a=0m/s
Answer:
3.333 if the equation is: 
Step-by-step explanation:
Looks like you are saying those are base logarithms.
I think you have the equation:

Use product rule, that is,
.

Both sides are the same except the insides. If we want the left hand side to be the same as the right hand side, then we need 3a and 10 to be the same.
When are those the same?
Set them equal and find out!
3a=10
Divide boht sides by 3:
a=10/3
Perform the division in your calculator:
10 division sign 3
gives you 3.333333333(repeating).