It takes her (100 mi)/(50 mi/h) = 2 h to get to her destination. She has 1 h 40 min = 100 min for her 100 mi return trip.
.. (100 mi)/(100 min) = (60 mi)/(60 min) = 60 mi/h
She must return at the rate of 60 mph to complete the trip in 3 h 40 min.
#2: This function is not defined if the denominator = 0. So, steal the denom. and set it = to 0, and then solve the resulting eqn: 3x-1=0, 3x = 1, x = 1/3.
The domain is the set of all real numbers except for x = 1/3. The range is the set of all real numbers except for y = 0.
#4: this function will not be defined if 16-x^4 is less than 0.
so you must solve the inequality x^4 ≤ 16. Take the 4th root of both sides. The domain is (-2, 2). By all means, check. Suppose x = 1.5. is x^4≤16?
The smallest value y can have is zero, which occurs when x = plus or minus 2.
The answer to this statement is FALSE. A Scalene triangle is a triangle with no equal side lengths, so a line that contains the altitude of the traingle divides the triangle into two triangles with different sizes, so it has no symmetry.
Answer:
a) n = 6765
b) n = 9604
c) n = 16590
Step-by-step explanation:
