Starting with the equation Y - 4x = 7, we can express y as y = 4x + 7. Now, substitute this expression into the second equation 2y + 4x = 2:
2(4x + 7) + 4x = 2,
which simplifies to 8x + 14 + 4x = 2. After that, we gather like terms:
12x = 2 - 14,
yielding 12x = -12, hence x = -1. Plugging x into the equation y - 4(-1) = 7 also reveals:
y + 4 = 7,
which gives y = 3. Thus, the solution arrives at (-1, 3).
The expression is 4*sqrt(30). Work Shown: Let's define circles P and Q with P representing the area of the circle with a radius of 19 and Q for a radius of 29. By using A = π*r², P calculates to 361π and Q to 841π. The resultant shaded area between circles P and Q is R = Q - P, which amounts to 480π. To ascertain the radius of a new circle S that would equal this area, we simplify R = 480π to find r = sqrt(480) leading us to r = 4*sqrt(30).
In a pictorial graph, icons are utilized to depict the data presented. For instance, if a survey was conducted regarding food preferences at a barbecue, we might incorporate images of a hamburger, a hot dog, and a chicken leg. However, we cannot deduce the quantities involved merely by juxtaposing the icons.
In this scenario, we have a function of the following form: A: initial amount, b: rate of decrease, x: time in years. Plugging in the values results in an exponential decay function suitable for this situation: y = 1300 * (0.97) ^ x. The estimated fish population in 2010 is then calculated to be approximately 1083.
