Angle BAC is 45 degrees. The diagonal bisects angle BAD and since all angles in a square are 90 degrees, half of 90 is 45 degrees.
We first need to factorize (if possible) the denominators:
we can see that

as 2 and 5 are two numbers whose sum is 7 and product is 10.
Similarly, we can see that

as 2 and 3 are two numbers whose sum is 5 and product is 6.
Thus, the expression is:

.
Now to make the denominators equal, but to also keep them as small as possible, the common denominator must be (p+3)(p+2)(p+5).
Answer: (p+3)(p+2)(p+5).
Answer:
Supplier A: 5.25 per bushel and deliver fee of 3 per bushel
Supplier B: 6.50 per busher and flat delivery fee of $1500 each week
500 bushels of grain each week.
Supplier A: 5.25x + 3x = 5.25(500) + 3(500) = 2,625 + 1,500 = 4,125
Supplier B: 6.50x + 1500 = 6.50(500) + 1500 = 3,250 + 1,500 = 4,750
Supplier B would cost more if the company buys 500 bushels of grain per week.
Step-by-step explanation:
The simplest way to solve this is to notice that letting t = 8/3 will let the term (3t-8) = 0. Substituting this will make v(t) = 2. Then we check which graphs pass through (8/3, 2). Only the second and third graphs do.
Next, we look at the behavior of the graph as t increases. Based on the equation, as t increases, (3t-8)^3 increases as well, so v(t) will increase as well. This is shown by the second graph, in which v(t) increases as t increases.
Answer:
Since coefficient for northwest is - 66.21,
The price of home in north west are 66.21 dollars, lower than elsewhere in the town, for the given number of beds and baths.