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:
167.10
Step-by-step explanation:
Here, we write out the general form for an exponential equation;
y = I (1 + r)^n
where y is the current value which we want to calculate
I is the initial value which is 160
r is the growth rate = 0.65% = 0.65/100 = 0.0065
402 minutes to hours will be 402/60 = 6.7 hours which is n
Substituting these values, we have
y = 160( 1 + 0.0065)^6.7
y = 160(1.0065)^6.7
y = 167.10
Answer:
2
i think
Step-by-step explanation:
Answer:
step 1. y - y1 = m(x - x1). this is the equation given a point and a slope.
step 2. find the slope m. m = (y2 - y1)/(x2 - x1) = (4 - (-4))/(0 - 2) = 8/-2 = -4.
step 3. y - (-4) = -4(x - 2) ; y + 4 = -4x + 8.
step 4. y = -4x + 4.
