<span>The vertex form of a quadratic is given by
</span><span>y = a(x – h)^2 + k</span><span>, where </span><span>(h, k)</span><span> is the vertex ;
In your case , ( - 4 , 3 ) is the vertex ;</span>
Convert a z statistic to a t statistic
The multifactor productivity can be calculated using the the units produced and the total costs.
Units = 7040
Total costs = 1000 + 520 + 2000
Total costs = $3,520
Multifactor productivity = 7,040 / 3,520
Multifactor productivity = 2 units per dollar
Part a)
16 x - 10
f + g = 5x − 12 + 11x + 2= 16x -10
Part b)
f * g = (5x − 12)(11x + 2) = 55x^2 - 132x + 10x - 24 = 55 x^2 - 122 x - 24
<span>Part c) </span>
<span>f(g(x)) = f( 11x + 2) = 5(11x +2) - 12 = 55x + 10 - 12 = 55x-2
</span>
Answer with explanation:
It is given that
The Angle lies in Second Quadrant.
Formula to find reference Angle
→If Angle lies in first Quadrant
then Reference Angle = The Angle given
→If Angle lies in Second Quadrant
Then Reference Angle = 180° - Angle
→If Angle lies in third Quadrant
then Reference Angle = Angle - 180°
→If Angle lies in fourth Quadrant
Then Reference Angle = 360° -Angle
Reference Angle
⇒sin 48°=0.7431448
Rounding to four decimal places
Sin 48°=0.7432