Answer:
A. 76
B. x^2 +21x + 96
C. x^2 - 9x + 6
Step-by-step explanation:
For this problem, just plug in the number in f(x) for x in the function.
A. f( 5 ) -> Plug in 5 for every x and then simplify
(5)^2 + 9(5) + 6
= 25 + 45 + 6
= 76
B. f( x+6 ) -> Plug in (x+6) for every x and then simplify
(x+6)^2 + 9(x+6) + 6
x^2 + 12x +36 + 9x+ 54 + 6
x^2 +21x + 96
C. f( -x ) -> Plug in -x for every x and then simplify
(-x)^2 + 9(-x) + 6
x^2 - 9x + 6
Expanding, you get 5*2f-5*6g. You then get 10f-30g
Formula for V of pyramid is V = 1/3 Bh
B = area of base
h = height
Q1.
8 x 6 = 48
48 = area of base
48 x 5 (height) = 240
240 x 1/3 = 80
80 cm^3
Q2.
8 x 12 would get the area of the base.
the formula says 1/3 Bh, so the base is multiplied by the height (10) and by 1/3.
So if you substitute in the values into the formula, it'll be:
V = 1/3 (12) (8) (10)
Q3.
4 x 6 = 24
base = 24 cm^2
height = 9
1/3 x 24 x 9 = 72
Volume = 72 cm^3
statement 1 is incorrect. The area of the base is actually 24 cm^2
statement 2 is correct.
statement 3 is correct. the volume of the rectangular prism (9 x 4 x 6) is 216cm^3, which is 3 times the volume of the pyramid (72 cm^3).
statement 4 is incorrect. This would require the volume of the pyramid to be 9 times of its own volume.
statement 5 is correct.
statement 6 is incorrect. The volume of the pyramid is 72, not 216.
Q4.
use the balance method to get the answer.
108 / 1/3 = 108 x 3 = 324
324 / 9 (the height) = 36
the base has an area of 36 in^2
Q5.
6 x 4 gets the area of the base
8 is the height
substitute them into the formula:
V = 1/3 (6) (4) (8)
Q6.
8 x 6 = 48
48 = area of base
9 = height
substitute them into the formula:
V = 1/3 (48) (9)
1/3 x 48 x 9 = 144
Volume of this pyramid is 144 in^3
Answer:
b
Step-by-step explanation:
look at the x and y axis
Answer:
7
Step-by-step explanation:
the others can be mulitples with other numbers besides itself.
11x3=33
3x9=27
9x7=63
