Question 2 (5 points) [01.02)
Consider the function f(x) = 8 - 3xFind the value of f(x) when x = 3 and select the correct answer below. (5 points)
Са
- 19
Ob
-10
26
Od

Step-by-step explanation:

f(x) = 8 - 3x

when x =3, then

f(3) = 8 - 3×3

=8-9

=-1

Step-by-step explanation:

f(x)=8-3x       If x=3

Substitute 3 in x,

f(3)=8-3(3)

f(3)=8-9

f(3)=-1 ANS

Hope it helps;)

Correct  cos(α - β) = 140/221

Step-by-step explanation:

cosα = ±√(1 - sin²α) => cosα = ±√(1 - (-5/13)²) = ±√(1 - (25/169)  

cosα = ±√(169 -25)/169 = ± √144/169

cosα = ± 12/13  since it is given that α (alpha) ends in the third quadrant

we choose  cosα = - 12/13

we know that is  tanβ = sinβ/cosβ = - 8/15 or sinβ : cosβ = 8 : 15 =>

sinβ = 8k and cosβ = 15k  where k is the coefficient of proportionality

we know the basic trigonometric equality

sin²β + cos²β = 1    when we replace the coefficients we get

(8k)² + (15k)² = 1 => 64k² + 225k² = 1 => 289k² = 1 => k² = 1/289 =>

k = 1/17   now we get sinβ and cosβ

since it is given that  β (beta) ends in the second quadrant

sinβ = 8/17 and cosβ = - 15/17

As we know it is:

cos(α - β) = cosα cosβ + sinα sinβ = - 12/13 · (- 15/17) + (- 5/13) · 8/17 =>

cos(α - β) = 180/221 - 40/221 = 140/221

cos(α - β) = 140/221

God is with you!!!