Answer:
The answer is (2x+3)(5x+2)
Answer:
The answer is 408
Explanation:
20% of 510 is 102 and 510 - 102 is 408
The graph is shown in the attached image.
1. Answer: Vertical shift up 3 units and vertical stretch by factor of 2
<u>Step-by-step explanation:</u>
f(x) = √x
g(x) = 2√x + 3
- adding 3 is a vertical shift up 3 units
- multiplying by 2 is a vertical stretch by factor of 2
2. Answer: Domain: [0, ∞)
Range: [3, ∞)
<u>Step-by-step explanation:</u>
g(x) = 2√x + 3
Domain: The restriction on "x" is that the radical must be greater than or equal to 0. So, x ≥ 0 Interval Notation: [0, ∞)
Range: Since the radical must be greater than or equal to 0, then 2√x is also greater than or equal to 0. Add 3 to that and y ≥ 3. Interval Notation: [3, ∞)
Hello!
To find the y-values of the given ordered pairs, substitute the x-values into the equation, y = log₂ x.
y = log₂ 1/2, y = -1
y = log₂ 1, y = 0
y = log₂ 2, y = 1
y = log₂ 4, y = 2
y = log₂ 8, y = 3
y = log₂ 16, y = 4
Therefore, the ordered pairs of y = log₂ x is: {(1/2, -1), (1, 0), (2, 1), (4, 2), (8, 3), (16, 4)}.