Answer:
(b - 2)(3b + 7)
Step-by-step explanation:
Consider the factors of the product of the coefficient of the b² term and the constant term which sum to give the coefficient of the b- term
product = 3 × - 14 = - 42 and sum = + 1
The factors are - 6 and + 7
Use these factors to split the b- term
3b² - 6b + 7b - 14 ( factor the first/second and third/fourth terms )
= 3b(b - 2) + 7(b - 2) ← factor out (b - 2) from each term
= (b - 2)(3b + 7) ← in factored form
Answer:
True
Step-by-step explanation:
Every pound equals 16 ounces. So if you do 16 times 4 you get 64 ounces. That is why this is true!
Answer:
GEOMETRY Find the diameter d of the circle in the figure at the right. Round to the nearest tenth if necessary.
18 ft
d ft
22 ft
12.6 ft
O 160 ft
O 4'ft
28,4 ft
Step-by-step explanation:
12.6ft answer
Answer:
-30
Step-by-step explanation:
The volume of the space not filled by the sphere is the difference between the volume of a cube with edge length 6 inches and the volume of a sphere with radius 3 inches.
<h3><u>Cube</u></h3>
The volume of a cube of edge length s is
... V = s³
When the edge length is 6 in, the volume is
... V = (6 in)³ = 216 in³
<h3><u>Sphere</u></h3>
The volume of a sphere with radius r is
... V = (4/3)π·r³
When the radius is 3 in, the volume is
... V = (4/3)π·(3 in)³ = 36π in³
<h3><u>Space</u></h3>
Then the volume of the space between the cube and the sphere is
... Vcube - Vsphere = 216 in³ - 36π in³ ≈ 102.9 in³ . . . . corresponding to choice C
