Answer:
w(-4.2) = 3(-4.2) -1 = -12.6 - 1 = -13.6
Step-by-step explanation:
The w(-4.2) is your t so you substitute it in your expression which means you get 3(-4.2) -1 and that gives you -13.6.
The average rate of change (AROC) of a function f(x) on an interval [a, b] is equal to the slope of the secant line to the graph of f(x) that passes through (a, f(a)) and (b, f(b)), a.k.a. the difference quotient given by
![f_{\mathrm{AROC}[a,b]} = \dfrac{f(b)-f(a)}{b-a}](https://tex.z-dn.net/?f=f_%7B%5Cmathrm%7BAROC%7D%5Ba%2Cb%5D%7D%20%3D%20%5Cdfrac%7Bf%28b%29-f%28a%29%7D%7Bb-a%7D)
So for f(x) = x² on [1, 5], the AROC of f is
![f_{\mathrm{AROC}[1,5]} = \dfrac{5^2-1^2}{5-1} = \dfrac{24}4 = \boxed{6}](https://tex.z-dn.net/?f=f_%7B%5Cmathrm%7BAROC%7D%5B1%2C5%5D%7D%20%3D%20%5Cdfrac%7B5%5E2-1%5E2%7D%7B5-1%7D%20%3D%20%5Cdfrac%7B24%7D4%20%3D%20%5Cboxed%7B6%7D)
Answer:
A. 55°
Step-by-step explanation:
Complementary angles are angles that add up to give us 90°.
Since <A and <B are complementary angles, it implies that:
m<A + m<B = 90°
If m<A = 35°, therefore:
35° + m<B = 90°
Subtract 35° from each side
m<B = 90° - 35°
m<B = 55°