For c to be positive, and for b to be negative, m must be negative and n must be negative.
X^2 - bx + c = (x - m)(x - n).
c is the product of m and n. If both m and n are positive, c would be positive. However b is the sum of m and n, therefore to make b negative, both m and n must be negative to ensure that the product of m and n is positive
Let x be the money distributed to the first group and y be the money distributed to the second group.
Then, x + y = 1000
Let c be the money distributed to one child in the first group and b be the money distributed to one brother in the second group.
Then, x = 5c and y = 2b
Hence 5c + 2b = 1000.
Answer:
14.85 feet & 18.85 feet
Step-by-step explanation:
This is a rectangle with area 10 * 14 = 140 sq. ft.
We want new rectangle to be DOUBLE this area, so that area would be:
140 * 2 = 280 sq. ft.
We will add same amount, x, to both length and width, to get 280. Lets do this and find x. [note: length * width = area]
Area = length * width
280 = (10+x)*(14+x)
280 = 140 + 10x + 14x + x^2
0 = -140 + 24x + x^2
We can solve this by using middle term factorization:
So, we need to add around 4.85 feet to both length and width
New dimensions are 14.85 feet & 18.85 feet
Answer:
The average number of people per car is 2.91
Step-by-step explanation:
To find the average number of people per car, we divide the total number of people by the total number of cars.
We have that:
57 cars had 4 people
61 cars had 2 people
9 cars had 1 person,
5 cars had 5 people.
Number of people:
57*4 + 61*2 + 9*1 + 5*5 = 384
Number of cars:
57 + 61 + 9 + 5 = 132
Average:
384/132 = 2.91
The average number of people per car is 2.91
Answer:
5.833
Step-by-step explanation:
SIX MINUS 0.617 IS 5.833
