Answer:
The range of x values for which y is unique is 2·π
Step-by-step explanation:
For a function j: X → Y to be invertible, we have that for every y in Y, there is associated only one x which is an element of x
Hence, f(x) = cos(x - π/4) gives
the x intercept at two penultimate points of the graph of cos(x - π/4) are;
x = 2.36, and x = 8.64
x = 3/4·π, and x = 2.75·π = 
Hence the range of x values for which y is unique is presented as follows
The range of x values for which y is unique = 2·π.
Answer:
f(x) = x² - 81 = ( x+ 9)(x - 9) Difference of two squares
g(x) = x+9/x-9
g(x) . f(x) = x + 9/ x - 9 × (x+9)(x - 9)
= ( x + 9)(x +9)
= ( x + 9)²
= x² + 18x + 81
Hope this helps.
2+6g=11-3g
-2+3g -2+3g
9g=9
--- ---
9. 9
G=1
The number that produces a rational answer when added to 0.85 is; 193/180
<h3>How to identify rational numbers?</h3>
A rational number is an algebraic term expressed as a fraction. The fraction can also be in decimals but only if the decimal places are not repeating or not infinitely long. If they aren't, then these are called irrational numbers.
Now, let us convert 0.85 to a fraction. Thus;
0.85 = 85/100 = 17/20
From the given options, the only one that when added to 0.85 will yield a rational number is 2/9. This is because;
17/20 + 2/9 = 193/180
193/180 is a rational number.
The missing options are;
A. 2/9
B. 0.2645751311...
C. √2
D.
Read more about rational numbers at; brainly.com/question/4694420
#SPJ1
Answer:
Approximately 1.9 seconds (correct to nearest tenth)
Step-by-step explanation:
Looks like the function is d = -16t^2 + 55 ( you left out the t)
The answer is the value of t when d = 0 so we have the equation:-
0 = -16t^2 + 55
16t^2 = 55
t^2 = 55/16
t = sqrt (55/16)
= 1.85 seconds
