Answer:
Step-by-step explanation:
we are given a quadratic equation
Let's assume formula of vertex form of parabola as
where vertex is (h,k)
we are given
vertex =(11,-2)
so, h=11, k=-2
now, we can plug it
now, we are given zeros at x=10 and x=12
we know that zeros will be x=10 , y is 0
so, we can plug x=10 and y=0 and solve for 'a'
now, we can plug it back
and we get
so, we get quadratic equation as
4.8 cans for every dollar
Answer:
Step-by-step explanation:
The formula for determining the area of a rectangle is expressed as
Area = length × width
Their backyard is rectangular, with a length of 3x – 5 feet and a width of 4x – 10 feet. This means that the area of the backyard is
(3x - 5)(4x - 10)
= 12x² - 30x - 20x + 15
= (12x² - 50x + 15) square feet
Their rectangular swimming pool, along with its surrounding patio, has dimensions of x + 8 by x – 2 feet. This means that the area occupied by the swimming pool and its surrounding patio is
(x + 8)(x - 2)
= x² - 2x + 8x - 16
= x² + 6x - 16
Assuming the swimming pool and its surrounding patio will not be covered with new grass, then the area of the region of the yard that they want to cover with new grass is
12x² - 50x + 15 - (x² + 6x - 16)
= 12x² - 50x + 15 - x² - 6x + 16
= 12x² - x² - 50x - 6x + 15 + 16
= 11x² - 56x + 31 square feet
the LCM of 21 and 105 is 105.
Answer:
140/4=35mph
Step-by-step explanation: