A: 45x + 30y = 1350
Since we don’t know how many adults and children are in the group, we use x and y
b: x-intercept= 30 y-intercept=45
To find the x-intercept you need to isolate the variable. 45x/45 = x
Then you do the same thing to the other side. 1350/45 = 30
So x=30
Same thing with the y-intercept.
30y/30 = y 1350/30 = 45
y=45 (Not really sure what it means by “what they represent” but I thinks it’s that there are 30 adult tickets and 45 children tickets )
c: so our points are (30,0) and (0,45) so you would graph that.
To find how many children tickets were bought if there were 20 adult tickets just look at the photo I put. I don’t know how to explain this.
Hope this helps
The answer to the question
The area is given by
A = (5 + 2x) * (10 + 2x) - 50
Rewriting we have:
A = 50 + 10x + 20x + 4x ^ 2 -50
Rewriting we have:
A = 4x ^ 2 + 30x
Substituting the value of the area we have:
54 = 4x ^ 2 + 30x
Rewriting:
4x ^ 2 + 30x - 54 = 0
We look for the roots:
x1 = -9
x2 = 3/2
We take the positive root:
x2 = 3/2
Answer:
the value of x is:
x = 3/2
Answer:
x = 3 - t and y = 4 - 2t
Step-by-step explanation:
We have to find such a set of parametric equations for the given equation which result in an x-value equal to 3 and a y-value equal to 4 when t is substituted as 0.
There can be more than 1 possible answers to this problem. You have to use hit and trial method to come up with the correct set of parametric equations. One of the possible set is:
y = 4 - 2t , x = 3 - t
For t = 0
x= 3 and y = 4
Hence, the condition is satisfied.
Now checking if these parametric equations result in given equation or not.
From second equation, we get:
t = 3 - x
Using this value in first equation, we get:
y = 4 - 2(3 - x)
y = 4 - 6 + 2x
y = 2x - 2
Which is the given equation.
Hence the set of parametric equation is:
x = 3 - t and y = 4 - 2t