g(x) is a shift of 8 units to the left and 4 units of f(x), then the correct statement is B.
<h3>
Which statement compares the graph of the two functions?</h3>
First, a vertical shift of N units is written as:
g(x) = f(x) + N
- if N > 0 the shift is upwards.
- If N < 0 the shift is downwards.
A horizontal shift of N units is written as:
g(x) = f(x + N).
- if N < 0, the shift is to the right.
- If N > 0, the shift is to the left.
In this case, we have:
g(x) = f(x + 8) + 4
So g(x) is a shift of 8 units to the left and 4 units of f(x), then the correct statement is B.
If you want to learn more about translations:
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Answer:
A
Step-by-step explanation:
Remember that 
x^(b-c)
Using that 
=3^(1/2x-1/2)=3^((x-1)/2)
So we can say: 
, because the bases are the same
We can multiply both sides of the equation by 2. We get x-1=2, and x=3. Which is A.
Answer:
The value of the trigonometric-ratio:
Step-by-step explanation:
Given the angle X
It is clear that:
- The opposite of the angle X = 48
- The adjacent to the angle X = 14
We know that the trigonometric-ratio of Tan X is defined as
Tan X = Opposite / Adjacent
substituting Opposite = 48, and Adjacent = 14
Tan X = 48/14
Tan X = 24 / 7
Therefore, the value of the trigonometric-ratio:
Answer:
it shod be B. 1/3
Step-by-step explanation:
Answer:
7 seconds
Step-by-step explanation:
The radius of a sphere-shaped balloon increases at a rate of 2 centimeters (cm) per second.
surface area of the completely inflated balloon is 784 cm²
SA=4r²
784= 4r²
784/4= r²
196 = r²
14cm = r
Yhe radius of the complete inflated balloon is 14cm
If the ball inflate at the rate of 2 cm per seconds
Then it took 14/2 = 7 seconds to inflate fully
