Answer:
Can you put the question please, so we could answer it
Step-by-step explanation:
Answer:
(a) The y-intercepts of both functions are the same, 0. However, the rate of change for the school library is 0.25, while the rate of change for the city library is 0.35.
(b) The 3-day late fee at the school library is $0.75 and the 3-day late fee at the city library is $1.05.
Step-by-step explanation:
The functions represented in the question are linear, which means that they have a consistent rate of change over time. In this example, it means that for every day, the late fee charged by each library is the same. At the school library, the rate of change is 0.25, which means for each day the book is late, the school charges a fee of $0.25. At the city library, the table shows that for each day the book is late, the city charges a fee of $0.35. So, the city library is more expensive. Y-intercept refers to the initial cost, or how much do the libraries charge if the book is not late, or turned in on time. In this case, neither library charges a fee for books turned in on time, so both would have a y-intercept of 0.
Answer:
70 times
Step-by-step explanation:
There is always a 50-50 chance on which side the coin can land, so on average, the coin lands 70 times on tales, and 70 times on heads.
Answer:
10. ⅔ − ∛e
11. 79 + 3√3
Step-by-step explanation:
10. ∫ (1 + 1/x) dx
∫ dx + ∫ (1/x) dx
These are both standard integrals.
x + ln|x| + C
Evaluate between x = ∛e and x = 1.
(1 + ln|1| + C) − (∛e + ln|∛e| + C)
1 + 0 + C − ∛e − ⅓ − C
⅔ − ∛e
11. ∫₁³ (4x³ + ³/₂√x) dx
∫₁³ 4x³ dx + ∫₁³ (³/₂ x^½) dx
(x⁴ + x^(³/₂) + C) |₁³
(x⁴ + x√x + C) |₁³
(3⁴ + 3√3 + C) − (1⁴ + 1√1 + C)
81 + 3√3 + C − 1 − 1 − C
79 + 3√3
Answer:
Step-by-step explanation:
To find a positive and a negative angle coterminal with a given angle, you can add and subtract 360°.
-135° + 360° = 225°