Answer:
1)(0.75,55)
2)(1.5,28)
3)(2,0)
(2.25,-17)
(3,-80)
(4,-192)
Step-by-step explanation:
1) substitute "t" values in table into the equation:
64-16(0.75)^2=
55
64-16(1.5)^2=
28
64-16(2)^2=
0
64-16(2.25)^2=
-17(ball already reached ground and went underground)
64-16(3)^2=
-80
64-16(4)^2=
-192
Answer as a fraction = 220/9
Answer in decimal form = 24.44 approximately
=======================================================
Explanation:
The linear scale factor is k = 2/3.
The area scale factor is k^2 = (2/3)^2 = 4/9
We'll multiply the old area (55) by the area scale factor (4/9) to get the area of the smaller image.
55*(4/9) = 220/9 = 24.44 approximately
10^2 = 100
7.4 × 10^2 = 7.4 × 100 = 740
<h2>Answer: 740</h2>
Answer:
The system of inequalities is x ≥ 3y and x + y ≤ 10
The graph attached down
Step-by-step explanation:
* <em>Lets explain how to write the inequalities for this problem</em>
- Assume that x represents the quantity of regular coffee and
y represents the quantity of the decaffeinated coffee
- For a community breakfast there should be at least three times as
much regular coffee as decaffeinated coffee
- At least means greater than or equal
∵ x represents regular coffee
∵ y represents decaffeinated coffee
∵ x is at least three times as much as y
∴ x ≥ y ⇒ (1)
- A total of ten gallons is sufficient for the breakfast
- That means the quantities x and y shouldn't be more than 10
- Not more than means smaller than or equal
∵ The total quantity is 10 gallons
∴ x + y ≤ 10 ⇒ (2)
∴ The system of inequalities are
x ≥ 3y and x + y ≤ 10
* Lets graph (1) and (2)
- The red part for x ≥ 3y
- The blue part for x + y ≤ 10
Answer:
21/8
Step-by-step explanation:
3/8 x 7/1 = 21/8