Answer:
A.f(x)=ln(−x)
Step-by-step explanation:
<u>Graph Of The Logarithm Function</u>
The domain of the logarithm function, written as y=log(u), is u>0. This means that it doesn't exist for any value of u less than or equal to zero
We can see in the graph the function is defined for all negative values of x. It means that if we choose any of the points in the graphs, the selected function must exist at that point.
Let's pick the point (-7,2). If we set x=-7 in the second option B, it would produce log(-5) which is not defined. A similar thing happens when using the third function to produce ln(-8) who doesn't exist either. The function D is not good because it would take log(-7). The only possible function is the first one f(x)=ln(-x), when evaluating f(-7)=ln7=1.95
Answer: 64 %
Step-by-step explanation:
Assume attendance last year to be equal to "x"
- An increase in percentage sees us add the percentage amount to 100.
- A decrease in percentage sees us subtract the percentage amount from 100.
Projected attendance = ((100+25)/100) * x = 1.25x
Actual attendance = ((100-20)/100) * x = 0.80x
Hence ratio of a actual to projected attendance = 0.80x/1.25x = 0.64
Convert into percentage = 0.64 * 100 = 64 %
Answer:
Step-by-step explanation:
16 = 2 *2 * 2 * 2 = 2⁴
16y⁴ = (2y)⁴
x⁴ - 16y⁴ = x⁴ - (2y)⁴
= (x²)² - [ (2y)² ]²
{Use identity = a² -b² =(a +b)(a- b). Here a =x² & b =(2y)²}
= (x² + (2y)² ) (x² - (2y)² )
= (x² + 4y²) (x² - 4y²)
Answer:
Step-by-step explanation:
The -4 makes the waves taller (Amplitude 4), and the negitive flips over x-axis.
In (3x-pi) The three compresses horizontally making the waves tighter. The -pi shifts the funtion pi to the right.
The +5 shifts up five.
We have that
<span>y=2sinx-cosx
y=cosx
</span>over the interval 0≤x≤pi/2-------> 0≤x≤1.57
using a graph tool
see the attached figure
the solution in the given interval is the point (pi/4, 0.707)
the y-value of the point of intersection is 0.707 -----> √2/2
the answer is the option <span>
b. (square root of 2)/2</span>
