Answer:
a = 9
Step-by-step explanation:
expand (y - 3)(y² + 3y + 9)
= y³ + 3y² + 9y - 3y² - 9y - 27
compare the coefficients of like terms with
y³ + 3y² + ay - 3y² - ay - 27
ay = 9y and - ay = - 9y ⇒ a = 9
The expression C.
cubic
represents the bacterium's volume.
Step-by-step explanation:
Step 1:
The E. Coli bacterium is in the shape of a cylinder.
The volume of a cylinder is given by multiplying π with the square of the radius (r²) and the height of the cylinder.
The volume of a cylinder, 
In the given diagram, E. Coli has a radius of 1
and a height of 0.5
.
Step 2:
By substituting the values in the equation, we get
The volume of the E. Coli bacterium
cubic
.
This is option C.
Answer:
The graph in the attached figure
Step-by-step explanation:
we have

This is the equation of a vertical parabola open upwards
The vertex is a minimum
The vertex is the point (1,2)
The y-intercept is the point (0,3)
The function does not have x-intercepts
see the attached figure
Answer:
Step-by-step explanation:
1 Simplify 19-7 to 12.
12^2−8×3+4×3−5
2 Simplify 12^2 to 144
144−8×3+4×3−5
3 Simplify 8×3 to 24.
144−24+4×3−5
4 Simplify 4×3 to 12.
144−24+12−5
5 Simplify 144-24 to 120.
120+12-5
6 Simplify 120+12 to 132.
132-5
7 Simplify.
127