Answer:
n=4p
Step-by-step explanation:
18n-7p-15n=5p
3n-7p=5p
3n=5p+7p
3n=12p
n=12p/3
n=4p
1² + 3² + 4² + 4(n - 1)² = ¹/₃n(2n - 1)(2n + 1)
1² + 3² + 4² + (2n - 2)² = ¹/₃n(2n - 1)(2n + 1)
1 + 9 + 16 + (2n - 2)(2n - 2) = ¹/₃n(2n(2n + 1) - 1(2n + 1))
10 + 16 + (2n(2n - 2) - 2(2n - 2)) = ¹/₃n(2n(2n) + 2n(1) - 1(2n) - 1(1) 16 + (2n(2n) - 2n(2) - 2(2n) + 2(2)) = ¹/₃n(4n² + 2n - 2n - 1)
26 + (4n² - 4n - 4n + 4) = ¹/₃n(4n² - 1)
26 + (4n² - 8n + 4) = ¹/₃n(4n² - 1)
26 + 4n² - 8n + 4 = ¹/₃n(4n²) - ¹/₃n(1)
4n² - 8n + 4 + 26 = 1¹/₃n³ - ¹/₃n
4n² - 8n + 30 = 1¹/₃n³ - ¹/₃n
+ ¹/₃n + ¹/₃n
4n² - 7²/₃n + 30 = 1¹/₃n³
-1¹/₃n³ + 4n² - 7²/₃n + 30 = 0
-3(-1¹/₃n³ + 4n² - 7²/₃n + 30) = -3(0)
-3(-1¹/₃n³) - 3(4n²) - 3(-7²/₃n) - 3(30) = 0
4n³ - 12n² + 23n - 90 = 0
F(x)= 2+2=4 g(x)= 4x2+4=12 f(x)= 12+2=14. 14 should be ur answer.
Answer: See below
Step-by-step explanation:
a) 6(3x+4y-8)
Use the distributive property:
6*3x + 6*4y - 6*8
18x + 24y - 48
<u>So D is the correct answer</u>
b) Factor out 4 because it can fit into 12 - 3 times - and 4 - one time.
12+4x
= 4(3+x)
<u>So D is the correct answer</u>
c) When you expand both <u>C and D</u> and simplify, you get 16x+36 as solution
d) 14x+2y+10z
Factor out 2 because it can fit into 14, 7 times. 2, one time. And 10, 5 times
14x+2y+10z
= 2(7x+y+5z)
<u>So D is the correct answer again ;)</u>