Answer:
Option (B)
Step-by-step explanation:
Given question is not complete; find the complete question in the attachment.
In the graph attached,
Parent function is an absolute value function,
f(x) = |x|
When this graph is shifted 4 units left, rule for the translation will be,
f(x) → f(x + 4)
Therefore, the new function of above translation will be,
g(x) = f(x + 4) = |x + 4|
Now the graph is shifted 2 units down so the translated function will be,
h(x) = g(x) - 2
h(x) = |x + 4| - 2
If we rewrite the function in the form of an equation, graph will be represented by
⇒ y = |x + 4| - 2
Therefore, Option (B) will be the answer.
Answer:
$12800.85
Step-by-step explanation:
Given information: Principal = $10,000, rate of interest = 0.05, number of times interest compounded=2, time = 5 years.
The formula for amount after compound interest is

where,
P is principal.
r is rate of interest.
n is number of times interest compounded per unit period.
t is number of periods.
Substitute the given values in the above formula.




Therefore, the future value of the $10,000 investment in five years is $12800.85.
Answer:
18 inches
Step-by-step explanation:
54*1/3=18(inches)

15x + 2 ≥ -10
<u> -2 </u> <u> -2 </u>
15x ≥ -12

x ≥ 
x ≥ 
OR


-3x - 14 ≥ 30
<u> +14</u> <u>+14 </u>
-3x ≥ 44

Graph: ←--------
----------→
Interval Notation: (-∞,
U
, ∞)
Answer:
A and B
Step-by-step explanation: