Answer:
Make a table with values of x and y using the equation y + 3 = -1/4(x - 3) :
x y
0 -2.25
3 -3
5 -3.5
-1 -2
-9 0
Now, graph these and draw a line through the points:
<span>So you have composed two functions,
</span><span>h(x)=sin(x) and g(x)=arctan(x)</span>
<span>→f=h∘g</span><span>
meaning
</span><span>f(x)=h(g(x))</span>
<span>g:R→<span>[<span>−1;1</span>]</span></span>
<span>h:R→[−<span>π2</span>;<span>π2</span>]</span><span>
And since
</span><span>[−1;1]∈R→f is defined ∀x∈R</span><span>
And since arctan(x) is strictly increasing and continuous in [-1;1] ,
</span><span>h(g(]−∞;∞[))=h([−1;1])=[arctan(−1);arctan(1)]</span><span>
Meaning
</span><span>f:R→[arctan(−1);arctan(1)]=[−<span>π4</span>;<span>π4</span>]</span><span>
so there's your domain</span>
C = $7s
independent variable ie the changing variable is s
dependent variable ie the non changing variable is c
Answer:
e=3 d=2
e=7 d=3
e=11 d=4
e=15 d=5
Step-by-step explanation:
all you have to do is solve for the d by substituting the value of e into the equation.
Answer: It will take approximately 21 years.
Step-by-step explanation:
6 percent of 5.25 is 0.315 (5.25 x 0.06 = 0.315)
Then you subtract 5.25 from 12 to calculate the number of years. (12 - 5.25 = 6.75)
Divide 0.315 from 6.75 (6.75 / 0.315 ≈ 21.4)
