Answer:
Step-by-step explanation:
33/3 = 11
36/3 =13
11 :13
Hello!
1. -4x2 + 8x + 32
-4(x2 - 2x - 8)
-4(x2 + 2x - 4x - 8)
-4(x(x + 2) - 4(x + 2))
-4(x + 2)(x - 4)
Answer A.
2. 2x2 + 16x + 30
2(x2 + 8x + 15)
2(x2 + 5x + 3x + 15)
2(x(x + 5) + 3(x + 5))
2(x + 5)(x + 3)
Answer C.
Answer:
B) -4
Step-by-step explanation:
To solve g(f(3)), we first have to solve f(3):
Since f(x) = -x +4 , f(3) = -3 + 4 = 1
Now we have to solve g(1) , since that is what f(3) left us;
Since g(x) = x^2 - 5 , g(1) = 1^2 - 5 = 1 - 5 = -4
7,912.8 inch³ of aluminum is needed to make 70 metal balls.
Step-by-step explanation:
Step 1:
The area of a sphere is calculated by multiplying
with π and the cube of the radius (r³).
In the given problem, the diameter is 6 inches. So the radius of the spheres is 3 inches.
The volume of a sphere,
So if r = 3 inches and π = 3.14,
cubic inches.
So for a single aluminum ball, 113.04 inch³ of aluminum is needed.
Step 2:
If 113.04 inch³ of aluminum is used for 1 ball, then we multiply 70 with this value to determine the aluminum needed for 70 such balls.
The aluminum needed for 70 metal balls
inch³.
So 7,912.8 inch³ of aluminum is needed to make 70 metal balls.