Answer:
The solution of this system is
(4). (6.0,5.4)
Step-by-step explanation:
First we have to find the equation of the line represented in the table; for that we have to find it's slope 
and it's y-intercept 
and then write it in the following form:
The slope of the line we get from first two points:
thus we have
we find by putting the point 
into the function:
Thus we have
Now we have to find where this line intersects with 
; to do this we just substitute 
with :
<em>We have the x-coordinate of the intersection.</em>
We find the y-coordinate by substituting 
into :
Thus the solution to the system is
which is option 4.
The answer is A your answer
I'm going to convert all the values given to you in percentages, so hopefully you should be able to see the correct answer a little clearer. :)
Debbie said that 21/50 drink coffee in the morning. 21/50 can also be written as 42/100, and now that it's out of 100, it's basically a percentage. (42%).
Allen said that 45% of people drink coffee in the morning. His value is already written as a percentage, so we won't do anything with it.
Benny says that 0.495 of the people he surveyed drink coffee in the morning. 0.495 is the same as 49.5% (multiply it by 100 to get it in a percentage).
So, in Debbie's survey, 42% of people drink coffee.
In Allen's survey, 45% of people drink coffee.
In Benny's survey, 49.5% of people drink coffee.
Therefore, the answer is Benny's survey. :)
#4
Examine the relationship between y and x, waiting until later to examine the y-intercept. For example: If we look at B, and mult. x = 2 by 0.55, we get 1.10, which is not even close to the y = 6.5 given in the table. If, however, we mult. 2 by 3.55, we get 7.10, which is not the same as the y = 6.5 given in the table, but is much closer than 1.10.
Also note that all y values in the table are positive, so a negative slope would be inappropriate. That eliminates choices A and D.
Focus now on the remaining choices B and C. Again, let x= 2 and determine the associated y value. Which y value is closer to the table's 6.5?
B: 0.55(2) + 3.55 = 4.65 (relatively far away from the table's 6.5)
C: 3.55(2) - 0.55 = 6.55 (very close to the table's 6.5)
C is the correct answer.
Answer:
p(q-1)
Step-by-step explanation:
P is the common factor in both the terms, so remove that to go outside the brackets.
What goes inside the brackets depends on what the quotient is when you divide both terms by p.
Hers,
pq becomes q
p becomes 1
THe negative sign remains there because he divide the is positive. (One positive and one negative make a negative)
Hope this helps
