Answer:
x₁ > x₂
Step-by-step explanation:
Both actions imply a parable trajectories, since both are projectile shot cases.
Let´s call x₁ maximum distance in the first case
The maximum height is just in the middle of the curve, therefore x₁ the maximum horizontal distance is equal to 60 feet.
In the second case, the parable curve is modeled by:
y = x₂*( 0.08 - 0.002x₂) or y = 0.08*x₂ - 0.002*x₂²
A second degree equation, solving for x₂ and dismissing the value x₂ = 0
we get:
y = 0 ⇒ x₂*( 0.08 - 0.002x₂) = 0 x₂ = 0
And 0,08 - 0.002*x₂ = 0
- 0.002*x₂ = - 0.08
x₂ = 0.08/0.002
x₂ = 40 f
Then x₁ > x₂
Answer:
The first option.
Step-by-step explanation:
In order to effectively simplify, you need to divide the side with the variable by a number that is less than or equal to the number. 3 goes into 36 twelve times.
3g = 36.
3g/3 = g
36/3 = 12
g = 12 when divided by 3.
Answer:
249 cm^2
Step-by-step explanation:
This problem becomes easier if we subdivide the figure, find the areas of the resulting figures and then sum them up.
Draw a vertical line straight down from the edge marked "4 cm" towards the edge marked "18 cm." The resulting rectangle on the left is 15.5 cm long and (18 - 7.5) cm wide, or 15.5 by 10.5 cm. Its area is 162.75 cm^2.
Next, find the area of the rectangle on the right of the line we drew. Its width is 7.5 cm and its height (15.5 - 4) cm, resulting in an area of 86.25 cm^2.
Last, add together these two subareas: combine 86.25 cm^2 and 162.75 cm^2. The total area of the composite figure is then 249 cm^2 (answer).
Answer:
Range: [-7, 8]
General Formulas and Concepts:
<u>Algebra I</u>
- Reading a coordinate plane
- Range is the set of y-values that are outputted by function f(x)
- Interval Notation: [Brackets] denote inclusion, (Parenthesis) denote exclusion
Step-by-step explanation:
According to the graph, our y-values span from -7 to 8. Since both are closed dot, they are included in the range:
Range: [-7, 8]
Answer:
6250
Step-by-step explanation:
if each partner has a even number of money from 1.6 million, that each person had $100,000, and to pay the lawsuit evenly than each person will have to pay $6250.
1.6 mill divided by 16= 100,000
6 mill divided by 16= 6250.
