I'm going to assume that the room is a rectangle.
The area of a rectangle is A = lw, where l=length of the rectangle and w=width of the rectangle.
You're given that the length, l = (x+5)ft and the width, w = (x+4)ft. You're also told that the area, A = 600 sq. ft. Plug these values into the equation for the area of a rectangle and FOIL to multiply the two factors:

Now subtract 600 from both sides to get a quadratic equation that's equal to zero. That way you can factor the quadratic to find the roots/solutions of your equation. One of the solutions is the value of x that you would use to find the dimensions of the room:

Now you know that x could be -29 or 20. For dimensions, the value of x must give you a positive value for length and width. That means x can only be 20. Plugging x=20 into your equations for the length and width, you get:
Length = x + 5 = 20 + 5 = 25 ft.
Width = x + 4 = 20 + 4 = 24 ft.
The dimensions of your room are 25ft (length) by 24ft (width).
Answer:
84 = 7×12
84 = 3×4×7
84 = 2×2×3×7
Step-by-step explanation:
84 = 7 × 12 ( the factors of 12 are 3×4)
so 84 = 3×4×7 ( the factors of 4 are 2×2)
so 84 = 2x2x3x7
I hope it helps you!
The answer is x².
f(x) = <span>5x - 6
</span>g(x) = x²<span> - 5x + 6
(f + g)(x) = f(x) + g(x)
= </span>5x - 6 + x² - 5x + 6
= x² + 5x - 5x + 6 - 6
= x² + 0 + 0
= x²
Answer:
Pounds of grapes: 8; total cost: $5.52
Step-by-step explanation:
- Find the proportional relationship for 1. 1:0.69
- You can eliminate 3 off the top
- Try 11 first since it is the largest and the table is increasing in pounds. 11:7.59 (incorrect)
- Try 8. 8:5.52 (correct)