A. f(1)=5 (as defined on the second line, x=1) TRUE because f(1)=5
B. f(5)=5^2=25 (as defined on third line, x>1) FALSE because f(5) ≠ 1
C. f(-2)=2(-2)=-4 (as defined on first line, x<1) FALSE because f(-2) ≠ 4
D. f(2)=2^2=4 (as defined on third line, x>1) TRUE because f(2)=4
Answer:
r = 5
Step-by-step explanation:
(r + 8)^2 = r^2 + 12^2
r^2 + 16r + 64 = r^2 + 144
16r = 80
r = 5
Answer:
x = 2
Step-by-step explanation:
5 ( 6x - 4 ) = 20 + 4 ( 3 + x )
30x - 20 = 20 + 12 + 4x
30x - 20 = 32 + 4x
26x = 52
x = 2
Answer:
11 ) 1 Hour
12 ) 3 Hours
13 ) 30 Minutes
14 ) 45 Minutes
15 ) 1 Hour and 15 Minutes
Step-by-step explanation:
Answer:
y = x⁴- 5x² + 4
y = x(x + 3)(x - 2)
Step-by-step explanation:
1). y = x⁴- 5x² + 4
= x⁴- 4x² - x² + 4
= x²(x² - 4) - 1(x²- 4)
y = (x² - 1)(x² - 4)
y = (x - 1)(x + 1)(x - 2)(x + 2)
Therefore, zeros of this polynomial are,
x = -2, -1, 1, 2
From the given graphs, first graph has the zeros (x-intercepts) as x = -2, -1, 1, 2.
So the graph (1) represents the polynomial → y = x⁴- 5x² + 4
2). Second graph shows the x-intercepts at x = -3, 0, 2
Since, y = x(x + 3)(x - 2) is the polynomial with x intercepts at x = -3, 0, 2
Therefore, y = x(x + 3)(x - 2) represents the second graph.
