Answer:
x^2-3x-10
Step-by-step explanation:
The graph is turned upside down. A negative parabola points down rather than up.
Answer:
Option C. f(n) = 16(3/2)⁽ⁿ¯¹⁾
Step-by-step explanation:
To know which option is correct, do the following:
For Option A
f(n) = 3/2(n – 1) + 16
n = 1
f(n) = 3/2(1 – 1) + 16
f(n) = 3/2(0) + 16
f(n) = 16
n = 2
f(n) = 3/2(n – 1) + 16
f(n) = 3/2(2 – 1) + 16
f(n) = 3/2(1) + 16
f(n) = 3/2 + 16
f(n) = 1.5 + 16
f(n) = 17.5
For Option B
f(n) = 3/2(16)⁽ⁿ¯¹⁾
n = 1
f(n) = 3/2(16)⁽¹¯¹⁾
f(n) = 3/2(16)⁰
f(n) = 3/2 × 1
f(n) = 1
For Option C
f(n) = 16(3/2)⁽ⁿ¯¹⁾
n = 1
f(n) = 16(3/2)⁽¹¯¹⁾
f(n) = 16(3/2)⁰
f(n) = 16 × 1
f(n) = 16
n = 2
f(n) = 16(3/2)⁽ⁿ¯¹⁾
f(n) = 16(3/2)⁽²¯¹⁾
f(n) = 16(3/2)¹
f(n) = 16(3/2)
f(n) = 8 × 3
f(n) = 24
n = 3
f(n) = 16(3/2)⁽ⁿ¯¹⁾
f(n) = 16(3/2)⁽³¯¹⁾
f(n) = 16(3/2)²
f(n) = 16(9/4)
f(n) = 4 × 9
f(n) = 36
For Option D
f(n) = 8n + 8
n = 1
f(n) = 8(1) + 8
f(n) = 8 + 8
f(n) = 16
n = 2
f(n) = 8n + 8
f(n) = 8(2) + 8
f(n) = 16 + 8
f(n) = 24
n = 3
f(n) = 8n + 8
f(n) = 8(3) + 8
f(n) = 24 + 8
f(n) = 32
From the above illustration, only option C describes the sequence.
<u>Step by Step Explanation:</u>
16. x - 4 = 4
Isolate the variable (x). Note the equal sign, what you do to one side, you do to the other. Add 4 to both sides:
x - 4 (+4) = 4 (+4)
x = 4 + 4
x = 8
17. a/4 = 4
Isolate the variable (a). Note the equal sign, what you do to one side, you do to the other. Multiply 4 to both sides:
(a/4)(4) = (4)(4)
a = (4)(4)
a = 16
18. y * 20 = 30
Isolate the variable (y). Note the equal sign, what you do to one side, you do to the other. Divide 20 from both sides.
(y *20)/20 = (30)/20
y = 30/20
y = 3/2 or 1.5
19. x/5 = 20
Isolate the variable (x). Note the equal sign, what you do to one side, you do to the other. Multiply 5 to both sides
(x/5)(5) = (20)(5)
x = (20)(5)
x = 100
~
Answer:
30 is correct answer. ... ...........
