Answer:
41. f⁻¹(x) = -9x + 4
43. m⁻¹(x) = ∛(x-2)/4
Step-by-step explanation:
41. y = (4-x)/9
swap x and y: x = (4-y)/9
solve y: 9x = 4-y
y = -9x + 4
45. y = 4x³+2
x = 4y³+2
4y³ = x-2
y³ = (x-2)/4
y = ∛(x-2)/4
Let you do 42 and 46 by yourself
Speeds
cutwrigth =35/84 =5/12 laps/min =0.417
evans =42/96.6=10/23 laps/min =0.435
loza =38/102.6 =10/27 laps/min =0.370
evans drove fastest
Answer:
Program C allows students to earn a Mathematics degree (B.A. or B.S.) by combining courses in the Department of Mathematics with courses from one other department. In most areas of specializations, mathematical and/or quantitative courses in other departments are part of the math degree program. All Program C students take a minimum of five core math courses: Calculus I, Calculus II, Calculus III, Introduction to Linear Algebra, and a proofs course, usually either Introduction to Abstract Algebra or Fundamental Properties of Spaces and Functions I.
Step-by-step explanation:
Average rate of change = change in y ÷ change in x
We already know the change in x because we are measuring the x values from -3 to 0.
change in x = 0-(-3) = 3
To find the change in y find the difference between the corresponding y-values when x=0 and when x=-3.
change in y = 0.5-2 = -1.5
average rate of change = -1.5/3 = -0.5
answer: -0.5
