anonymous
  • anonymous
Help me with a few questions??
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
@jim_thompson5910
pooja195
  • pooja195
Post your questions.
anonymous
  • anonymous
ok one second...

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anonymous
  • anonymous
The table below shows the distance y, in miles, traveled by a toy car in x minutes: Time (x) (minutes) 10 20 30 40 Distance (y) (miles) 4 8 12 15 Part A: What is the most likely value of the correlation coefficient of the data in the table? Based on the correlation coefficient, describe the relationship between time and distance traveled by the toy car. [Choose the value of correlation coefficient from 1, 0.99, 0.5, 0.02] Part B: What is the value of the slope of the graph of distance versus time between 10 minutes and 30 minutes, and what does the slope represent? Part C: Does the data in the table represent correlation or causation? Explain your answer.
anonymous
  • anonymous
@jim_thompson5910
jim_thompson5910
  • jim_thompson5910
what did you get?
anonymous
  • anonymous
so for part a....i got positive correlation of 1
jim_thompson5910
  • jim_thompson5910
why 1?
anonymous
  • anonymous
cuz the x-values increase while the y-values increase
jim_thompson5910
  • jim_thompson5910
how much are the x values increasing each time?
anonymous
  • anonymous
10
jim_thompson5910
  • jim_thompson5910
how much are the y values increasing each time?
anonymous
  • anonymous
4 4 4 and 3
jim_thompson5910
  • jim_thompson5910
if that last 3 was a 4, then the correlation coefficient would indeed be 1 a correlation coefficient of +1 means all points lie on the same line with positive slope
jim_thompson5910
  • jim_thompson5910
but not all points are on the line nearly all of them are
anonymous
  • anonymous
oh okk
anonymous
  • anonymous
so would it be 0.99
jim_thompson5910
  • jim_thompson5910
yeah it's going to be pretty close to +1, but not exactly equal to +1
anonymous
  • anonymous
ok thank you.. So for part B i would just do 8-4/20-10= 2/5
anonymous
  • anonymous
@jim_thompson5910
jim_thompson5910
  • jim_thompson5910
|dw:1449545598574:dw|
jim_thompson5910
  • jim_thompson5910
|dw:1449545623090:dw|
anonymous
  • anonymous
12-4/30-10 so 8/20= 2/5
jim_thompson5910
  • jim_thompson5910
much better
jim_thompson5910
  • jim_thompson5910
use parenthesis though you should say (12-4)/(30-10)
anonymous
  • anonymous
ok
anonymous
  • anonymous
And the slope represents the distance the toy car travels in x amount of time
jim_thompson5910
  • jim_thompson5910
what is distance/time equal to in general?
anonymous
  • anonymous
2/5
anonymous
  • anonymous
Oh so the car travels 2 miles every 5 mins
jim_thompson5910
  • jim_thompson5910
not in this specific case, but in general
jim_thompson5910
  • jim_thompson5910
conceptually, distance/time = ??? I'm looking for a word (not a number)
anonymous
  • anonymous
um
anonymous
  • anonymous
rise/run?
jim_thompson5910
  • jim_thompson5910
think about driving in a car
jim_thompson5910
  • jim_thompson5910
or what a cop would pull someone over for
anonymous
  • anonymous
speeding?
jim_thompson5910
  • jim_thompson5910
yeah, so distance/time = speed
jim_thompson5910
  • jim_thompson5910
2/5 = 0.4 you're going 0.4 miles per minute multiply that by 60 to convert to mph
anonymous
  • anonymous
Part c would it be correlation?
jim_thompson5910
  • jim_thompson5910
why?
anonymous
  • anonymous
because the graph shows a positive correlation
anonymous
  • anonymous
@jim_thompson5910
jim_thompson5910
  • jim_thompson5910
close since the correlation coefficient is not exactly equal to +1 or -1, this means we do NOT have a causation. It's a correlation. A very strong positive correlation in this case.
anonymous
  • anonymous
Use the functions m(x) = 5x + 4 and n(x) = 6x − 9 to complete the function operations listed below. Part A: Find (m + n)(x). Show your work. (3 points) Part B: Find (m ⋅ n)(x). Show your work. (3 points) Part C: Find m[n(x)]. Show your work. (4 points)
anonymous
  • anonymous
@jim_thompson5910
jim_thompson5910
  • jim_thompson5910
show me what you have so far
anonymous
  • anonymous
ok so for part a would it just be (5x+4) + (6x-9)
jim_thompson5910
  • jim_thompson5910
now simplify that to get what?
anonymous
  • anonymous
11x-5
jim_thompson5910
  • jim_thompson5910
good
anonymous
  • anonymous
so thats the answer
jim_thompson5910
  • jim_thompson5910
for part a
anonymous
  • anonymous
(5x+4) * (6x-9)=30x-36?
jim_thompson5910
  • jim_thompson5910
you'll have to use the box method or FOIL
anonymous
  • anonymous
can you explain more....
jim_thompson5910
  • jim_thompson5910
|dw:1449547917192:dw|
jim_thompson5910
  • jim_thompson5910
5x times 6x = 30x^2 |dw:1449547963919:dw|
anonymous
  • anonymous
why do we have to use it though?
jim_thompson5910
  • jim_thompson5910
5x times -9 = -45x |dw:1449547982385:dw|
jim_thompson5910
  • jim_thompson5910
you don't have to use it, but I prefer it because it helps make multiplication easier
jim_thompson5910
  • jim_thompson5910
for me, it helps keep track of all the terms
anonymous
  • anonymous
ok
jim_thompson5910
  • jim_thompson5910
if you don't want to use the box method, then you have to use FOIL
anonymous
  • anonymous
|dw:1449548152342:dw|
jim_thompson5910
  • jim_thompson5910
yep, now finish off that last box
anonymous
  • anonymous
|dw:1449548185409:dw|
jim_thompson5910
  • jim_thompson5910
-36
anonymous
  • anonymous
|dw:1449548237857:dw|
anonymous
  • anonymous
-45x and 24x is -21x
jim_thompson5910
  • jim_thompson5910
notice how we have these like terms |dw:1449548382909:dw|
anonymous
  • anonymous
So the answer is 30x^2 -21x -36
jim_thompson5910
  • jim_thompson5910
correct
anonymous
  • anonymous
ok and for the last one
anonymous
  • anonymous
i dont get it
jim_thompson5910
  • jim_thompson5910
Does this help? \[\Large m(x) = 5x + 4\] \[\Large m(x) = 5(x) + 4\] \[\Large m\left[{\color{red}{x}}\right] = 5({\color{red}{x}}) + 4\] \[\Large m\left[{\color{red}{n(x)}}\right] = 5({\color{red}{n(x)}}) + 4\]
jim_thompson5910
  • jim_thompson5910
do you see what the next step would be?
anonymous
  • anonymous
oh would it be 5(6x-9) +4
jim_thompson5910
  • jim_thompson5910
yep, now distribute and combine like terms
anonymous
  • anonymous
30x-41
anonymous
  • anonymous
ok I have one more... its shorter but i dont understand it
jim_thompson5910
  • jim_thompson5910
yep
anonymous
  • anonymous
A quadratic equation is shown below: 9x2 − 36x + 36 = 0 Part A: Describe the solution(s) to the equation by just determining the radicand. Show your work. Part B: Solve 2x2 − 9x + 7 = 0 using an appropriate method. Show the steps of your work and explain why you chose the method used.
jim_thompson5910
  • jim_thompson5910
hint \[\Large D = b^2 - 4ac\]
anonymous
  • anonymous
im still confused
jim_thompson5910
  • jim_thompson5910
have you seen that equation before?
jim_thompson5910
  • jim_thompson5910
it's the discriminant formula
anonymous
  • anonymous
no
jim_thompson5910
  • jim_thompson5910
Notice how \[\Large ax^2 + bx + c = 0\] matches up with \[\Large 9x^2 - 36x + 36 = 0\] what are the values of a,b,c ?
anonymous
  • anonymous
9, -36 and 36
jim_thompson5910
  • jim_thompson5910
yep, now plug those values into D = b^2 - 4ac and tell me what you get
anonymous
  • anonymous
d=36^2- 4(9)(36)
anonymous
  • anonymous
@jim_thompson5910
jim_thompson5910
  • jim_thompson5910
more like `(-36)^2 - 4(9)(36)` what is that equal to?
anonymous
  • anonymous
is it 0
jim_thompson5910
  • jim_thompson5910
yes
jim_thompson5910
  • jim_thompson5910
the discriminant is D = 0 since it's 0, this means that there is exactly one solution to 9x^2 - 36x + 36 = 0
anonymous
  • anonymous
thank you and part b?
anonymous
  • anonymous
@jim_thompson5910
jim_thompson5910
  • jim_thompson5910
I would use the quadratic formula to solve 2x^2 - 9x + 7 = 0
jim_thompson5910
  • jim_thompson5910
in this case, a = 2 b = -9 c = 7
jim_thompson5910
  • jim_thompson5910
The quadratic formula is \[\Large x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\]
jim_thompson5910
  • jim_thompson5910
Notice how the portion in red is the discriminant \[\Large x = \frac{-b \pm \sqrt{{\color{red}{{b^2 - 4ac}}}}}{2a}\]

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