Step-by-step explanation:
a) f(3)=3^2 - 3/2
=9-3/2
=15/2
Answer:
x ≈ 25.1
Step-by-step explanation:
Using the sine ratio in the right triangle
sin26° = 
= 
( multiply both sides by x )
x × sin26° = 11 ( divide both sides by sin26° )
x = 
≈ 25.1 ( to 1 dec. place )
Answer:
Abel to Ben: 6
Abel to Carl: 3
Ben to Carl: 0.5
Step-by-step explanation:
First we formulate the problem in equations:
Abel = 6 * Ben
Cale = Abel / 3
If Cale's score is Abel's score over 3, so Abel's score is 3 times Cale's score.
If Abel's score is 6 times Ben's score, and 3 times Cale's score, then Cale's score is 2 times Ben's score (so Ben's score is 0.5 times Cale's score)
So, the ratio between all scores are the following:
Abel to Ben: 6
Abel to Carl: 3
Ben to Carl: 0.5
<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>
