Answer:
6 ≤ x ≤ 7
Step-by-step explanation:
Dividing 52 by 8 gives you a decimal between 6 and 7. Since you can only but hamburgers in packages of 8, the inequality is 6 ≤ x ≤7 with x being the number of hamburger bags.
<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>
Its Less than because 7ft=84inches
Answer:
The average rate of change is -3.
Step-by-step explanation:
Given : Function 
over the interval 2 ≤ x ≤ 4.
To find : What is the average rate of change ?
Solution :
Function over [2,4]
The rate of change is the slope of the line,
So, 
Substitute,
Therefore, The average rate of change is -3.
The smallest area is:
A2 = (1/4) * (A1)
Substituting:
A2 = (1/4) * (12)
A2 = 3 feet ^ 2
Since both are squares then:
L2 = root (3)
L1 = root (12)
The relationship is:
L2 / L1 = (root (3)) / (root (12))
Rewriting:
L2 / L1 = (root (3)) / (root (3 * 4))
L2 / L1 = (root (3)) / (2raiz (3))
L2 / L1 = 1/2
Answer:
The fraction of the side length of the larger rug with a side length of the smaller one is:
L2 / L1 = 1/2
