D
This is because the expression can be simplified to get the same result. -1+2log_4((1/4)x)
Answer:
2
Step-by-step explanation:
6x2=12 12/6=2
Looking at the graph, we'll notice that there is a local maximum at x=0 and it looks similar on both sides of the y axis, therefore making it symmetric around the y axis given the options
Answer:
Step-by-step explanation:
The ladder, ground, and building form a right triangle where the vertical distance between the top of the ladder and the bottom of the ground is one leg, the horizontal distance between the bottom of the ladder and the building is another leg, and the length of the ladder is the hypotenuse.
For any right triangle, the Pythagorean Theorem states that the sum of the squares of both legs is equal to the hypotenuse squared (
), where 
is the hypotenuse.
Let the length of the ladder be 
(hypotenuse of right triangle). The distance between the top of the ladder and the ground (vertical distance) can be represented as 
.
From the Pythagorean Theorem, we then have:
Expand using 
:
Subtract from both sides and add 
to both sides:
Combine like terms:
Divide both sides by 2:
Therefore, the length of the ladder is 25 feet.
Answer:
B. 0
Step-by-step explanation:
Given
g(t) = t² - t
f(x) = 1 + x
Required
Find g(f(3) - 2f(1))
First, we'll solve for f(3)
Given that f(x) = 1 + x
f(3) = 1 + 3
f(3) = 4
Then, we'll solve for 2f(1)
2f(1) = 2 * f(1)
2f(1) = 2 * (1 + 1)
2f(1) = 2 * 2
2f(1) = 4
Substitute the values of f(3) and 2f(1) in g(f(3) - 2f(1))
g(f(3) - 2f(1)) = g(4 - 4)
g(f(3) - 2f(1)) = g(0)
Now, we'll solve for g(0)
Given that g(t) = t² - t
g(0) = 0² - 0
g(0) = 0 - 0
g(0) = 0
Hence, g(f(3) - 2f(1)) = 0
From the list of given options, the correct answer is B. 0
