Answer:
The y-intercept of the equation is 100 and represents the initial studio-use fee.
Step-by-step explanation:
In this equation, our t variable (time) is the equivalent of the x-variable on a graph. This is because it is the variable that we 'change' to see its impact on y. We see how the amount of hours affects the price. So our P variable (price) is the equivalent of y on a graph. The y-intercept is where the line crosses the y-axis on a graph. At this point, x=0.
Since P is our y, and t is our x, to find the y-intercept, we simply need to make t = 0.
P = 50(0) + 100
P = 100
Therefore the y-intercept is 100.
In this context, t represents time, so even though the studio has been used for 0 hours, the price is still 100. This is because the 100 represents the initial studio-use fee, and using it for certain amounts of time adds onto the initial fee of $100. The hourly fee is represented by 50t so it costs $50 more for each hour of use.
Hope this helped!
Answer:
1 theater
Step-by-step explanation:
Given
--- Popcorn
--- Movie
See attachment for the table that shows ticket and popcorn prices at five movie theater chains
Required
The number of theaters that supports the given inequality
The given inequality can be combined to give:
From the table entries, only one theater supports this inequality.
Where
--- Movie
--- Popcorn
Which gives:
Answer:
1. r+s²=49
2. pq²=24
3. -4xy-6x²+2x²y-6y= -54
Step-by-step explanation:
1. r+s²=0+7²=49
2. pq²=(6)(2)²=6(4)=24
3. -4xy-6x²+2x²y-6y= -4(3)(2)-6(3)²+2(3)²(2)-6(2)
= -24-6(9)+2(9)(2)-12
= -24-54+36-12
= -78+36-12
= -42-12
= -54
To convert this equation into slope intercept form simply distribute the number of -2 and put it in
Y = mx + b form
Y + 4 = -2(X-1)
Y + 4 = -2x + 2
Y = -2X + 2 - 4
Y = -2X - 2
I believe this is the solution in slope intercept form.
Steps to solve:
7 = 11t
~Divide 11 to both sides
7/11 = 11t/11
~Simplfy
7/11 = t
The fraction can't be simplified any further.
Best of Luck!
