Answer:
![3x^2 + 15x - 252 = 0](https://tex.z-dn.net/?f=3x%5E2%20%2B%2015x%20-%20252%20%3D%200)
Step-by-step explanation:
The volume of the prism is 252 cubic centimeters.
The volume of a rectangular prism is gotten by the formula:
V = l * w * h
where l = length
w = width
h = height
The height of the prism is 3 cm.
Let x be the width of the prism.
The length of the prism is 5 cm longer than the width.That is:
l = 5 + x
The volume of the prism is therefore:
V = (5 + x) * x * 3
![=> 252 = (5x + x^2) * 3\\\\252 = 15x + 3x^2\\\\=> 3x^2 + 15x - 252 = 0](https://tex.z-dn.net/?f=%3D%3E%20252%20%3D%20%285x%20%2B%20x%5E2%29%20%2A%203%5C%5C%5C%5C252%20%3D%2015x%20%2B%203x%5E2%5C%5C%5C%5C%3D%3E%203x%5E2%20%2B%2015x%20-%20252%20%3D%200)
This is the equation that models the volume of the tray in terms of x.
Answer:
10 lbs
Step-by-step explanation:
7 qts x 5 qts = 35 qts broth
2 lbs x 5 lbs = 10 lbs barley
Ok thank you I think you answered in the wrong place
Answer:
A. y + 1 = -2(x – 5)
Step-by-step explanation:
For a line with slope m through point (h, k), the equation is ...
y -k = m(x -h)
Fill in your values of m=-2, h=5, k=-1 and you have ...
y -(-1) = -2(x -5)
y +1 = -2(x -5) . . . . . . simplify. Matches selection A.
Answer:
x = 2
Step-by-step explanation by completing the square:
Solve for x:
x^2 - 4 x + 4 = 0
Write the left hand side as a square:
(x - 2)^2 = 0
Take the square root of both sides:
x - 2 = 0
Add 2 to both sides:
Answer: x = 2