<span>The parent cosine function can be transformed and translated. So, from the basic function cos(x) we can obtain function acos(bx+c). In our case, a=3- amplitude, b=10- the period change and c=-pi- the phase shift. So, the parent cosine function is mutiplied with 3 (which gives the amplitude of the function, 3*0.5=1.5). The period of the function is changed, and is 2pi/b=2pi/10=pi/5 and the cos(x) is phase shifted for c/b=-pi/10.</span>
Let's break apart 42.
The 4 is in the tens. The 2 is in the ones.
Place Value starting from Thousands
Thousands Hundreds Tens Ones
_________ ________ ____ _____
4 2
So this is how we break up numbers using place value.
Hope this helps!
<h3>
Answer: Choice D) 3n^2</h3>
"mono" means "one". I often think of "monorail" which means "one rail" to help remember this. So "monomial" means "one term". This reduces our choices to either C or D, as they show one term each. Choices A and B are ruled out as these are binomials, showing two terms each.
Choice C shows a cubic monomial since the exponent here is 3. So the degree is 3. We can rule out choice C.
Choice D has a 2nd degree monomial because the exponent is 2. The leading coefficient is 3 as this is the number to the left of the variable term. All of choice D fits with the description of "A monomial of the 2nd degree with leading coefficient of 3"