190 = x + 2(x+20)
190 = x + 2x + 40
190 = 3x + 40
190 - 40 = 150
150/3 = 50
x = 50
190 = 50 + 2(50 + 20)
one side of the width (the "short side", as it says) is the barn, so you don't count that because its only asking for the fencing. the length (which would be the long side, which implies that theres only one short side, if that confused you at all) is 20m longer. we figured out that 50m is the width so if both sides are 20m longer, the dimensions of the fencing would be:
50m + 70m + 70m
Each friend receives 2 bags because 4 divided by 8 is 2
To factor this quadratic function, there are many ways that you can do this, the most common approach used to graph anything would be to make a table of values. Basically, make a chart with x coordinates on one side and y coordinates on the other side. Pick any values for your x coordinates and then find the correct y coordinate that results when you place that specific x coordinate into the function. After getting many points, plot those points on the grid and it should give you a parabola.
Another way to graph the function is to find the x intercepts, you can do this by setting the function to zero, and factoring the trinomial, using the appropriate method, then find the x intercepts
y = 2x^2 - 8x + 6
0 = (2x^2 - 6x - 2x + 6)
0 = 2x(x - 3) - 2(x - 3)
0 = (2x - 2)(x - 3).
Answer: 64,000 crickets
Step-by-step explanation: 2 years = 24 months; every 3 months the crickets double in population, therefore the cricket population doubles 8 times. 250 x 2 = 500; 500 x 2 = 1,000; 1,000 x 2 = 2,000; 2,000 x 2 = 4,000; 4,000 x 2 = 8,000; 8,000 x 2 = 16,000; 16,000 x 2 = 32,000; 32,000 x 2 = 64,000
Answer:
(4, 0 )
Step-by-step explanation:
A translation of 1 unit left, subtract 1 from the original x- coordinate
A translation of 2 units down, subtract 2 from the original y- coordinate
The rule is (x, y ) → (x - 1, y - 2 ), thus
(5, 2 ) → (5 - 1, 2 - 2 ) → (4, 0 )