Answer:
The points have a positive trend and are most likely linear
Answer (C)
Step-by-step explanation:
∵ The graph represents the relation between the numbers
of calories and the total amount in fat in different types
of sandwiches
∵ Both values increase together
∴ Correlation is Positive
∵ If you draw the line best fit to check if it's strong or weak
Most of point will be on the line
∴ The points have a positive trend and are most likely linear
∴ The answer is (C)
Answer:
First blank: 10
Second blank: 1
Step-by-step explanation:
For both i used an online converter:
Please check attachments
Answer: C. 6
Step-by-step explanation:
Given : Time taken by Machine R to do the job = 36 hours
Time taken by Machine S to do the job = 18 hours
Let x be the number of each type of machine to do the job.
Then , according to the question the required equation will be :-

Hence, the number of machines of type R were used =6
Answer:
y=4x-6
Step-by-step explanation:
8x-2y=12
8x-2y-12=0
8x-12=2y
4x-6=y
Answer:
Step-by-step explanation:
Begin by squaring both sides to get rid of the radical. Doing that gives you:

Now use the Pythagorean identity that says
and make the replacement:
. Now move everything over to one side of the equals sign and set it equal to 0 so you can factor:
and then simplify to

Factor out the common cos(x) to get
and there you have your 2 trig equations:
cos(x) = 0 and 1 - cos(x) = 0
The first one is easy enough to solve. Look on the unit circle and see where, one time around, where the cos of an angle is equal to 0. That occurs at

The second equation simplifies to
cos(x) = 1
Again, look to the unit circle and find where the cos of an angle is equal to 1. That occurs at π only.
So, in the end, your 3 solutions are
