Answer:
70 + 20n = 95 + 17n
Step-by-step explanation:
F(x) = -5x + 1
f(-2) = -5(-2) + 1
f(-2) = 10 + 1
f(-2) = 11
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Answer: f(-2) = 11 (Answer C)
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Answer:
D. 9
Step-by-step explanation:
Let
abc=100a+10b+c
bca=100b+10c+a
cab=100c+10a+b
abc + bca + cab=(100a+10b+c) + (100b+10c+a) + (100c+10a+b)
=100a + 10b + c + 100b + 10c + a + 100c + 10a + b
Collect like terms
=100a + a + 10a + 10b + 100b + b + c + 10c + 100c
=111a + 111b + 111 c
Factorise
=111(a+b+c)
abc + bca + cab = 111(a+b+c)
Factors of 111(a+b+c)= 1, 3, 37, 111, and (a+b+c)
abc + bca + cab is divisible by a+b+c because it is a factor of 111(a+b+c)
abc + bca + cab is divisible by 3 because 3 is a factor of 111(a+b+c)
abc + bca + cab is divisible by 37 because 37 is a factor of 111(a+b+c)
abc + bca + cab is not divisible by 9 because 9 is not a factor of 111(a+b+c)
Same as the last one you asked.
AB + BC = AC. Just think of it like Part + Part = Whole Thing
(2x + 6) + (6x + 5) = 51
Combine like terms:
8x + 11 = 51
Subtract 11 from both sides to get the variable and its coefficient on its own:
8x = 51 - 11
8x = 40
Divide both sides by 8 to isolate the variable:
x = 5
It's asking for us to find BC so now we plug in x = 5 to the equation it gave for BC.
6x + 5
6(5) + 5
30 + 5
35
BC is 35 units long.
The volume of a cone is (1/3) times 3.14 times the height, and times the radius squared.
