Given:
The two functions are:
To find:
The statement that best compares the graph of g(x) with the graph of f(x).
Solution:
The horizontal stretch is defined as:
...(i)
If 
, the function f(x) is horizontally stretched by factor 
.
If 
, the function f(x) is horizontally compressed by factor .
We have,
Using these functions, we get
...(ii)
On comparing (i) and (ii), we get
Since , the function f(x) is horizontally stretched by factor 
.
Hence, the correct option is D.
Answer:
27 feet.
Step-by-step explanation:
Graph the quadratic equation, then find the point on the graph which aligns with x=3. Y would equal 27.
Answer:
10c ≥ 150
At least 15 cars (or c ≥ 15)
Step-by-step explanation:
If she gets $10 for every car she washes a car then 10c is the rate of her gaining money and she needs at least (greater than or equal to) $150.
This equation can be used to express the situation:
10c ≥ 150
<em>To solve you divide the 10 from both sides of the inequality to get.</em>
c ≥ 15
Answer:
≈ 30.63 cm²
Step-by-step explanation:
The shaded area is calculated by subtracting the area of the inner circle from the area of the outer circle.
outer circle has radius = 8 ÷ 2 = 4 and inner circle has radius = 5 ÷ 2 = 2.5
shaded area = πr₁² - πr₂² (r₁ is outer and r₂ is inner )
A = π (4² - 2.5²)
= π(16 - 6.25) = 9.75π ≈ 30.63 cm²
