Answer:
D
Step-by-step explanation:
g(x)=f(5x)
this means plugging in 5x for x in f(x):
g(x)=f(5x)=(5x)^2
which can be further simplified:
5^2x^2=25x^2
Since the coefficient of x being larger means a vertical stretch, the answer is D
example:
g(2)=f(5*2)=f(10)=f(10^2)=100
so for g(x), it has the coordinates (2,100), which is most definitely not C
Answer:
See attachment for graph
Step-by-step explanation:
Given

Required
Draw the graph
First, we identify at least 2 possible values of x and y
Let 
Solve for y




So, a point is: 
Let 
Solve for y





So, another point is: 
<em>Plot </em>
<em> and </em>
<em> on the graph, then draw a straight line through both points</em>
See attachment for graph
Answer:
9/4
Step-by-step explanation:
see image
2/3 is 2 × 1/3.
We can separate the exponent into 1/3 power raised to the 2nd power. 1/3 power is the same as cube root.
27 and 8 are both perfect cubes. 3^3 and 2^3.
Thats how you go from 27/8 to 3/2.
Then square it.
see image.
Answer:
Length of the thread = 30 metres
Step-by-step explanation:
Length of the thread in one round of a reel = Circumference of the reel
C = 
Since radius of the reel = 
= 
= 2.5 cm
Circumference of the reel = 2(π)(2.5)
= 5π
= 5×3
= 15 cm
Length of the thread wound in one round around the reel = 15 cm
Since, thread is wound 200 times round a reel, length of the thread
= 200 × 15
= 3000 cm
≈ 30 metres
Therefore, Option (B) will be the answer.