for all
in [-3, 0], so
is non-decreasing over this interval, and in particular we know right away that its minimum value must occur at
.
From the plot, it's clear that on [-3, 0] we have . So
for some constant . Given that
, we find that
so that on [-3, 0] we have
and
9514 1404 393
Answer:
107/18
Step-by-step explanation:
Your calculator and/or knowledge of trig function values can help you evaluate this.
= 4/3(1/3) +3/4 -3(3/4) +3(3) -2(1)
= 4/9 +3/4 -9/4 +9 -2
= 107/18
___
tan(30°) = 1/√3
tan(45°) = 1
tan(60°) = √3
sin(60°) = cos(30°) = √3/2
Answer: 2
Step-by-step explanation:
You are not really asked how to find the solutions, just how many there are. The easiest way to solve this is to use a program like Desmos and graph the question. I have done this for you.
Red: line -2x + 1
Blue: quadratic y = -2x^2 + 1
Answer: 2
