In the following exercises, solve. Round answers to the nearest tenth. 204. A stone is thrown vertically upward from a platform that is 20 feet high at a rate of 160 ft/sec. Use the quadratic equation h = − 16 t 2 + 160 t + 20 to find how long it will take the stone to reach its maximum height, and then find the maximum height.
In the following exercises, solve. Round answers to the nearest tenth. 204. A stone is thrown vertically upward from a platform that is 20 feet high at a rate of 160 ft/sec. Use the quadratic equation h = − 16 t 2 + 160 t + 20 to find how long it will take the stone to reach its maximum height, and then find the maximum height.
In the following exercises, solve. Round answers to the nearest tenth.
204. A stone is thrown vertically upward from a platform that is 20 feet high at a rate of 160 ft/sec. Use the quadratic equation
h
=
−
16
t
2
+
160
t
+
20
to find how long it will take the stone to reach its maximum height, and then find the maximum height.
Formula Formula A polynomial with degree 2 is called a quadratic polynomial. A quadratic equation can be simplified to the standard form: ax² + bx + c = 0 Where, a ≠ 0. A, b, c are coefficients. c is also called "constant". 'x' is the unknown quantity
1) Express these large and small numbers from the Read and Study section in scientific
notation:
(a) 239,000 miles
(b) 3,800,000,000,000 sheets of paper
(c) 0.0000000000000000000000167 grams
2) Find all values for the variable x that make these equations true.
(a) 5x = 1
(b) 3x = 1/1
9
(c) 4* = 11/
4
(e) 4* = 64
(g) 10x = 1,000,000
(d) 3x=-3
(f) 2x =
=
8
(h) 10x = 0.001
(b)
4) Find an equation to fit each of the following graphs:
(a)
20
20
18
16
14
12
10
8
6
4
2
24
22
20
18
16
14
12
10
8
16
A
2
-3 -2
-1-0
2
3
4.
-1
0
1
2
3.
-2
-2
3) Which of the following are equivalent to 3? (There may be more than one that is
equivalent!)
-1
(a) (9)¯¹
3.
(b) (-3)-1
(c) (-3)
-1
(d) -(¯3)
(e) 11
3-1
(f) 3-4
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Interpreting Graphs of Quadratic Equations (GMAT/GRE/CAT/Bank PO/SSC CGL) | Don't Memorise; Author: Don't Memorise;https://www.youtube.com/watch?v=BHgewRcuoRM;License: Standard YouTube License, CC-BY
Solve a Trig Equation in Quadratic Form Using the Quadratic Formula (Cosine, 4 Solutions); Author: Mathispower4u;https://www.youtube.com/watch?v=N6jw_i74AVQ;License: Standard YouTube License, CC-BY