Answer:
#1. x = -1
Answer = 8
#2. x = 1/5
Answer = 344/25
#3. x = 14
Answer = 13328
Step-by-step explanation:
#1. a. plug in -1
f(-1)= (5(-1)^3) - (2(-1)^2 - (-1) + 14
b. Solve the exponents.
(5(-1)^3)
(5x-1)
(-5) - (2(-1)^2) - (-1) + 14
(2(-1)^2)
(2x1)
(-5) - (2) - (-1) +14
c. simplify.
(-5) - (2) + 1 + 14
-7 + 15
8
#2.
f(1/5)= (5(1/5)^3) - (2(1/5)^2 - (1/5) + 14
(5(1/5)^3)
(5 x 1/125)
(1/25) - (2(1/5)^2)
(2 x 1/25)
(2/25)
(1/25) - (2/25) - (1/5) +14
(-1/25) - (1/5) +14
Note: (1/5) turns into (5/25) so it can be subtracted.
-6/25 + 14
Note: 14 turns into 350/25 so it can be added.
350/25 - 6/25 = 344/25
#3.
f(14)= (5(14)^3) - (2(14)^2 - (14) + 14
Note: Normally you do the exponents first but I'm just going to casually take out the two 14s at the end cause they cancel each other out.
f(14)= (5(14)^3) - (2(14)^2)
( 5 (14^3))
(5 x 2744)
(13720) - (2(14^2))
(2 (14^2))
(2x196)
392
(13720) - 392
13328
Good Luck!
Answer:
50.3
Step-by-step explanation:
Volume = pi * h * r^2 *** Diameter = 2 * radius
<em>Substitute</em>
Volume = pi * 4 * (4/2)^2
<em>Simplify</em>
Volume = pi * 4 * 4
<em>Simplify</em>
Volume = 16 pi, which is approx. 50.3
Answer:
k = 4
Step-by-step explanation:
Hello!
3k + 16 = 8 + 5k
Subtract 3k from both sides
16 = 8 + 2k
Subtract 8 from both sides
8 = 2k
Divide both sides by 2
4 = k
The answer is 4
Hope this Helps!
Answer:
Step-by-step explanation:
cot x=√3
tan x=1/√3=tan π/6,tan (π+π/6)
=tan π/6,tan (7π/6)
x=π/6,7π/6
x
Answer: FH is 9x, given in the question
It's 45 if you solve for x and plug in x=5
Step-by-step explanation:
FG+GH =FH
10+7x= 9x
10=2x
x=5
FG+GH=FH
10 +7(5) = 9(5)
10 + 35 =45
