<span>F(3)−F(0)=<span>∫30</span>f(x)dx</span><span>
so it looks like 2.3+1=3.3</span>
F(x)=x^3+x^2-9x-9
x^2(x+1)-9(x+1)
=(x+1)(x^2-9)
=(x+1)(x+3)(x-3)
Hope that this helps
30 M&Ms
1) Gathering the data
12-ounce bag of trail mix = 18 M&Ms
20-ounce bag=?
2) Assuming that the M&Ms are placed in following a constant rate we can write the following proportion:
12 --------------- 18
20 --------------- y
<em>Cross multiplying it due to the first property of proportions</em>
<em />
12y =20 x 18
12y = 360
y=30
3) So, I'd expect to find 30 M&Ms at a 20-ounce bag of trail mix.
Answer:
256 ft²
Step-by-step explanation:
Net comprises: 2 equal triangles, 2 equal rectangles and 1 smaller rectangle
Area of a triangle = 1/2 x base x height
⇒ area of one triangle = 1/2 x 10 x 7 = 35 ft²
Area of a rectangle = width x length
⇒ area of larger rectangle = 6 x 12 = 72 ft²
⇒ area of smaller rectangle area = 6 x 7 = 42 ft²
⇒ Total area = (2 x 35) + (2 x 72) + 42 = 256 ft²
