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inysia [295]
3 years ago
13

5. Is 9 a factor of the following? (i) 394683 (ii) 1872546 (iii) 5172354

Mathematics
2 answers:
Dennis_Churaev [7]3 years ago
5 0

Answer:

  (i) no, remainder is 6

  (ii) no, remainder is 6

  (iii) yes

Step-by-step explanation:

A number is divisible by 9 when the sum of its digits is divisible by 9. (The process of computing the sum of digits is called "casting out 9s".) You can basically treat any 9 as though it were 0.

(i) 3+9+4+6+8+3 = 33, 3+3 = 6. The remainder from division by 9 is 6. 9 is not a factor.

__

(ii) 1 + 8 + 7 + 2 + 5 + 4 + 6 = 9 + 9 + 9 + 6 = 33, 3+3 = 6. The remainder from division by 9 is 6. 9 is not a factor.

__

(iii) 5 + 1 + 7 + 2 + 3 + 5 + 4 = 6 + 9 + 3 + 9 = 27 = 3×9. This is divisible by 9, so the number is divisible by 9. 9 is a factor.

inysia [295]3 years ago
3 0

Answer:

The answer is (iii) 5172354

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kaheart [24]
The independent variable is your input (x-value) and the dependent variable (y-value) depends on what the input is.

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4 0
3 years ago
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the axis of symmetry of a quadratic equation is x = –3. if one of the zeroes of the equation is 4, what is the other zero?
FinnZ [79.3K]
ANSWER

The other zero is

x =  - 10

EXPLANATION

The axis of symmetry serves as the midpoint of the two zeroes.


We were given that the axis of symmetry of the quadratic equation is
x =  - 3


We were also given that, one of the zeroes of the quadratic equation is
x = 4


Let the other zero of the quadratic equation be
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Since it is the x-values of the intercepts that gives the solution, we use only the x-value part of the midpoint formula which is given by,




\frac{x_1 + x_2}{2}  = axis \: of \: symmetry

We substitute to obtain,

\frac{p + 4}{2}  =  - 3



We multiply through by 2 to get,

p + 4 =  - 6



This implies that,

p =  - 6 - 4

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3 0
3 years ago
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2 years ago
How do you solve 5/8a-27=-7
Ber [7]
First of all you need to get rid of the -27 on the left side, to do so you add 27 to both sides so it becomes:
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5 0
3 years ago
What is the answer to 2a-3=7
ladessa [460]
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Divide both sides by 2.

2a / 2 = 10 / 2

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5 0
3 years ago
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