Explanation:
Hello! Please remember to formulate complete questions to receive accurate answers. I will assume that the depicted function derives from:
This describes the equation of a parabola that opens upwards, with its vertex positioned at:
The graph below illustrates this function. What is true about the graphed function f(x)?
- It is accurate that the domain consists of all real numbers, as this is a polynomial function.
- It is also correct that the range includes all real numbers where y ≥ 5
- It is indeed true that this parabola opens upwards
- It is valid to say it does not intersect the x-axis
The cubic equation formed is L^3 - 52L +144 = 0. Dimensions: Length = 4 inches, Width = 2 inches, Height = 3 inches. To determine this, let L be the length, W the width, and H the height. The box volume is 24 cubic inches, and its total surface area is 52 sq. inches. Setting W = L/2 leads to Volume = L * W * H, thus substituting W gives us the equation 0.5L^2 * H = 24 resulting in H = 48/L^2. The surface area equation simplifies to (L*W) + (L+H) + (W+H) = 26. Introducing W = 0.5L yields 0.5L^2 + 1.5LH = 26. Substituting H into this gives 0.5L^2 + 72/L = 26. Multiplying throughout by L to eliminate denominators yields 0.5L^3 - 26L + 72 = 0. After multiplying through by 2: L^3 - 52L +144 = 0. Testing L=4 confirms a factor, thus Length (L) = 4 inches, and subsequently, W and H calculate to 2 inches and 3 inches respectively.
Answer:
0.012 km/hr
Step-by-step explanation:
(1200 cm)(1 m/100 cm)(1 km/1000 m) = 0.012 km/hr
Answer:
40 * x - 600 = 0
Step-by-step explanation:
Initially, identify the variable (x) in the equation, representing the number of days it takes Leilah to review her flashcards. To study 600 out of her 2400 cards, having gone through 1800 already, we arrive at:
2400 - 1800 = 40 * x
rearranging leads to
40 * x - 600 = 0
This equation describes the situation above
