The expression for the height is given in quadratic expression form
Ax² + Bx + C
Where A, B, and C are constant
To find the x-coordinate when the graph reaches maximum/minimum, we use the formula
x = -B ÷ 2A
We have
h = -16t² + 112t + 30
The value for A = -16, B = 112, and C = 30
Substitute these into x = -B ÷ 2A we have
t = -112 ÷ (2×-16) = 3.5
The maximum height is reached when t = 3.5 sec
The height when t = 3.5 sec is given
h = -16(3.5)² + 112(3.5) + 30 = 226 feet
Answer:
1. x=10+1/3(y)
2. n is nickles
Step-by-step explanation:
Answer:
Below in bold.
Step-by-step explanation:
Area of shaded part
= 5*10 - x(x + 5)
= 50 - (x^2 + 5x)
= -x^2 - 5x + 50
= -(x^2 + 5x - 50)
= -(x + 10)x - 5).
Answer:
Remember, if we have two points (x1, y1) and (x2, y2) we can draw a segment that connects those two points, and we can define the midpoint of those two endpoints as:
( (x1 + x2)/2. ((y1 + y2)/2)
if we are only in the x-axis, then y = 0.
in this situation one of the endpoints seems to be at the origin, and the other is a given value (X´. 0)
Then, the midpoint is:
( (Xp + 0)/2, 0) = (X´/2, 0)
Then, the relationship is:
"the value at the midpoint is half ot the value at the endpoint that is not at the origin"
A)
Health inspector: 7, 14, 21, 28
Fire inspector: 12, 24, 36, 48
B) To answer this question you simply need to find the least common multiple(LCM). First look for the factor for 7(health inspector) and 12(fire inspector)
7= 1x7
12= 2 x 2 x 3
Since there is no common factor, you can simply multiply both number to find LCM: 7x12 day= 84 days.