.
Given
area of the pillow = 144sq inchs
Area of square = L X L
Therefore,
Therefore, Number of ribbons = 48ribbons
Let's call the amount of quizzes Lauren will take in total as x.
Since the relationship is directly proportional, the ratio between quizzes and weeks should stay the same for different amount of weeks. This statement gives to us the following equation
Solving for x, we have
After attending 4 weeks of school this quarter, Lauren will take in total 20 quizzes.
The Angles (3x - 3)° and 60° forms alternate interior Angle pair. hence,
V² + 3v - 5 = 0
v = -(3) ± √((3)² - 4(1)(-5))
2(1)
v = -3 ± √(9 + 20)
2
v = -3 ± √(29)
2
v = -3 ± 5.38
2
v = -1.5 ± 2.69
v = -1.5 + 2.69 or v = -1.5 - 2.69
v = 1.19 or v = -3.19
Answer:
Option D - Stretched by a factor of 2, reflected over the y-axis, and translated 9 units left.
Step-by-step explanation:
Given : The function
To find : Which of the following describes the graph of compared to the parent square root function?
Solution :
First we simplify the given expression
→When we see the original square root function minus was taken outside x and 9 was added from x and 2 was multiplied to the entire function.
- Multiplying 2 in the function will give you the stretched by a factor of 2.
- shows the reflection about y-axis i.e, (x,y)→(-x,y).
- If f(x)→f(x+b) then function is shifted left by unit b
⇒ g(x))→g(x+9) then function is shifted left by unit 9
Therefore, The graph of was stretched by a factor of 2, reflected over the y-axis, and translated 9 units left to obtain the graph of the function .
So, Option D is correct.