The equation 3x² - 48x + 6856 represents the area of the gym and track together in terms of width.
<h3>What is the area of the rectangle?</h3>
It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
We have:
A rectangular building for a gym is three times as long as it is wide. Just inside the walls of the building, there is a 6ft rectangular track along the walls of the gym and has an area of 7000ft²
Let x be the width of the rectangle.
As the area of track along the walls of the gym is 7000ft²
(x - 12)(3x - 12) = 7000
After simplifying:
3x² - 48x + 6856 = 0
Thus, the equation 3x² - 48x + 6856 represents the area of the gym and track together in terms of width.
Learn more about the rectangle here:
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its odd you're in high school and you're asking this but its 9
Answer:
When the number of guests is 0, the cost would be $450.
Step-by-step explanation:
We have been given an equation 
, which models the relation between the cost in dollars, C, of the banquet and the number of guests, g.
We can see that our given equation in slope-intercept form of equation 
, where, m represents slope of line and b represents y-intercept or initial value.
We can see that slope for our given equation is 28 and the C-intercept is 450.
The C-intercept tells us that when there are 0 guests in the banquet, the cost would be $450.
Answer:
x=-5/8, y=15/2, z=-10. (-5/8, 15/2, -10).
Step-by-step explanation:
4x-7y=5
8x+3z=-35
6y+3z=15
----------------
4x=7y+5
2(4x)=2(7y+5)
8x=14y+10
14y+10+3z=-35
14y+3z=-35-10
14y+3z=-45
-----------------------
14y+3z=-45
6y+3z=15
------------------
14y+3z=-45
-(6y+3z)=-15
---------------------
14y+3z=-45
-6y-3z=-15
--------------------
8y=-60
simplify,
y=15/2
6(15/2)+3z=15
45+3z=15
3z=15-45
3z=-30
z=-30/3
z=-10
8x+3(-10)=-35
8x-30=-35
8x=-35+30
8x=-5
x=-5/8
x=-5/8, y=15/2, z=-10.
87 58%
_ _
x 100% = 8700/58 = 150.862069 = 150.86
