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.
The aquarium has 3 more yellow fish than green fish.
60% of the fish are yellow.
To find:
How many green fish are in the aquarium?
Step-by-step explanation:
Let there be x number of fish in the aquarium.
60% of the fish are yellow.
So there are 60x/100 = 3x/5 yellow fish.
Then (100 - 60)% = 40% fish are green.
So there are 40x/100 = 2x/5 green fish.
Given that, there are 3 more yellow fish than green fish
⇒ 3x/5 = 2x/5 + 3
⇒ 3x/5 = (2x + 15)/5
⇒ 3x = 2x + 15
⇒ 3x - 2x = 15
⇒ x = 15
Now, 2x/5 = 2/5 × 15 = 2 × 4 = 6
Answer:
There are 6 green fish in the aquarium.
A) condensation
B) the air around the glass of ice water is cooled. Moisture in the air condenses out once the temperature of the air reaches below the dew point.
C) evaporation
D) as the water is left out the warm temperatures allows the water to evaporate over time.
Final balance = $416.28
total compound interest= $16.28
Answer:
The error she made was that she was adding x and 2.75. She should subtract 2.75 from x.
Another mistake that she made was that she sold each for $7 assuming that she would make a profit of 78, but she should see each necklace for $12.5 so that she could make a profit of $78.
Step-by-step explanation:
The error she made was that she was adding x and 2.75.
She should write the equation as 8 (x - 2.75) = 78; as she spends $2.75 to make a necklace.
By using the correct equation: 8 (x - 2.75) = 78
=> 8x - 22 = 78
=> 8x = 78 + 22
=> 8x = 100
=> x = 100/8
=> x = 12.5
Another mistake that she made was that she sold each for $7 assuming that she would make a profit of 78, but she should see each necklace for $12.5 so that she could make a profit of $78.
Hope this helps you.
