Answer:
x = 13.6
Step-by-step explanation:
Here, we want to find the value of x
to find the value of x. we are going to use the sine rule
It states that the ratio of the sine of an angle to the measure of the side facing the angle is fixed for a triangle
In this case;
11/ sin 27 = x/ sin 34
x = 11 sin 34/sin 27
x = 13.6
The wording of the second function may be interpreted in several differente ways. These are some:
g(x) = (x^2 +2)(x-8)
g(x)=x^2 + 2(x-8)
g(x) x^2 +2x - 8
I will work with the last one, so my system of equation is:
f(x) = - x +2.5
g(x) = x^2 + 2x - 8
f(x) = g(x) ⇒ - x + 2.5 = x^2 + 2x - 8
x^2 + 3x - 8 - x - 2.5 = 0
x^2 + 3x - 10.5 = 0
Use the quadratic formula to solve for x:
x = [ - 3 +/- √(3^2) - 4(1)(-10.5) ]/2
x = - 5.07 and x = 2.07
Average price=total price/total weight, let p be the average price:
p=(3*4+5*4*(100-20)/100)/8
p=(12+16)/8
p=$3.50/lb