A trig identity is <span>asinucosu=<span>a/2</span>sin(2u)</span>So you can write your equation as<span>y=sin(x)cos(x)=<span>1/2</span>sin(2x)</span>Use the crain rule here<span><span>y′</span>=<span>d/<span>dx</span></span><span>1/2</span>sin(2x)=<span>1/2</span>cos(2x)<span>d/<span>dx</span></span>2x=cos(2x)</span>The curve will have horizontal tangents when y' = 0.<span><span>y′</span>=0=cos(2x)</span>On the interval [-pi, pi], solution to that is<span><span>x=±<span>π4</span>,±<span><span>3π</span>4</span></span></span>
Answer:
Ella's normal hourly pay is $12 per hour.
Step-by-step explanation:
Let us assume that the Ella's Normal hourly pay = $x per hour
Over hourly pay = 1.5 times ( Normal pay)
= 1.5 ( x) = $ 1.5 x
⇒Ella earns $1.5x in 1 hour of overtime.
So the amount she earns in 4 hour of overtime = 4 times (per hour pay)
= 4 ( $1.5x) = $ 6 x
The amount Ella earned in 4 hours of over time = $72.00
According to the question:
$ 6 x = $72.00
or, x = 72/6
=12
or , x = $12
Hence, Ella's normal hourly pay is $12 per hour.
<h2><u>COMBINED OPERATIONS</u></h2><h3>Exercise</h3>
First, let's solve the subtraction (in parentheses):


Now, let's solve the multiplication. Remember: in multiplication, two negative numbers will give a positive number:


Finally, let's solve the division:

<h3><u>Answer</u>: 16</h3>
Answer:
Physical or psychological damage or injury: The storm did great harm to the crops. 2. Immoral or unjust effects: They made a mistake and meant no harm
Answer:
A
Step-by-step explanation:
Given
x² + 6x
To complete the square
add ( half the coefficient of the x- term )² to x² + 6x
x² + 6x + (3)²
= x² + 6x + 9
= (x + 3)²