Answer:
f(x) = √(x+1) -2
Step-by-step explanation:
Since you're working with transformed functions, you know that replacing x with x-a in f(x) will translate the graph "a" units to the right. You also know that adding "b" units to the function value will translate the graph "b" units upward.
Here, the graph of f(x) = √x has been translated 1 unit to the left (a=-1) and 2 units down (b=-2). So, the transformed function is ...
f(x) = √(x-(-1)) + (-2)
f(x) = √(x+1) -2 . . . . . . simplify
Answer:
Step-by-step explanation:
Complex numbers are the numbers represented by the expression = a + bi
Here a = real part of the number
bi = imaginary part
a and b are the real numbers.

[Since,
]

Therefore, its a non real complex number.
2 -
= 
= 
=
This number is a Non real complex number.

= 18i
It's a non real complex number.
3 + 2i
It's a non real complex number.
-289
It's a purely real number.

= 4 + 32
= 36
It's a purely real number.
Answer:
11m/min
Step-by-step explanation:
slope of the line = velocity of the turtle
slope = y/x
= 55/5
=11
Answer:
10.8 cm
Step-by-step explanation:
Using cosine law
g² = 7.1² + 6.7² - 2(7.1)(6.7)cos(103)
g² = 116.7018433
g = 10.80286274
Answer:
The 20th percentile of coffee temperature is 155.4532 degrees Fahrenheit.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 160 degrees
Standard Deviation, σ = 5.4 degrees
We are given that the distribution of temperature of coffee is a bell shaped distribution that is a normal distribution.
Formula:
We have to find the value of x such that the probability is 0.2
Calculation the value from standard normal z table, we have,
Thus,

The 20th percentile of coffee temperature is 155.4532 degrees Fahrenheit.