To solve this problem, let's set up a system of equations. To do this, we can let one of the two unknown numbers be represented by the variable x and the other unknown number be represented by the variable y. We know that the difference between the two variables is 7 and the sum of the two variables is 59, which allows us to create the two equations below:
x - y = 7
x + y = 59
To solve this system of equations, we are going to use linear combination, which means simply adding the two left sides of the equations together and adding the two right sides of the equations together. Because the first equation has a -y term on the left side and the second equation has a +y term on the left side, these are going to cancel out, leaving us with:
2x = 66
To solve this equation, we must get the variable x alone on the left side of the equation by dividing both sides of the equation by 33, giving us:
x = 33
To solve for the other number, we must plug this known value for x into one of our original equations, as follows:
x + y = 59
33 + y = 59
To solve for the variable y, we must subtract 33 from both sides of the equation to get the variable y alone. This operation gives us:
y = 26
Therefore, the two numbers are 33 and 26.
Hope this helps!
Answer:
answer is 19.1
Step-by-step explanation:
answer is 19.1
2. 
Domain: 
, because any value of 
is allowed and gives a number 
.
Range: 
, because 
for any positive real 
.
y-intercept: This is a point of the form 
. So plug in 
; we get 
. So the intercept is (0, 2), or just 2. (Interestingly, you didn't get marked wrong for that...)
Asymptote: This can be deduced from the range; the asymptote is the line 
.
Increasing interval: Going from left to right, there is no interval on which is increasing, since 1/4 is between 0 and 1.
Decreasing interval: Same as the domain; is decreasing over the entire real line.
End behavior: The range tells you 
, and you know is decreasing over its entire domain. This means that 
as 
, and 
and 
.
3. 
Domain: Same as (2), 
.
Range: We can rewrite 
. 
for all , so 
for all . Then the range is 
.
y-intercept: We have 
, so the intercept is (0, -6) (or just -6).
Asymptote: 
Increasing interval: Not increasing anywhere
Decreasing interval:
End behavior: Similar to (2), but this time as and 
as .
Answer:
ok so first ur gonna do 4x3=12 then
Step-by-step explanation:
Answer:
51 students.
Step-by-step explanation:
First you need to establish a rate 6/100+3/50
8*100=800 6*8=48
3/50
850-800=50 3/50
48+3=51
