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ioda
3 years ago
6

Find a counterexample to the conjecture: Any number that is divisible by 2 is also divisible by 4

Mathematics
1 answer:
Vlad [161]3 years ago
6 0
Choose number 2, it is divisible by 2, 2:2=1 but it is not divisible by 4, because 2:4=0,5 but 0,5 \notin \mathbb Z.
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Factorise 6x² -5x -21
Alex Ar [27]
I think it’s this but I’m not sure

5 0
2 years ago
39545 rounded to the nearest thousand
KATRIN_1 [288]
It would be 40,000 if you rounded up
6 0
3 years ago
Read 2 more answers
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
BabaBlast [244]

Step-by-step explanation:

the introduction of a fraction tells us that we are dealing with multiplications, and therefore a geometric sequence (where every new term is created by multiplying the previous term by a constant factor, the ratio r).

I think your teacher made a mistake, or you made one when typing the question in here.

there is no factor r that creates

15×r = 9

and

9×r = 5/27

it would mean that

15 × r² = 5/27

r² = 5/27 / 15 = 5/27 × 1/15 = 5/405 = 1/81

r = 1/9

but 15 × 1/9 = 5 × 1/3 = 5/3 is NOT 9

and 9 × 1/9 = 9/9 = 1 is NOT 5/27

so, this can't be right.

on the other hand

15 × r = 9

r = 9/15 = 3/5

and then

9 × 3/5 = 27/5

so, either the sequence should have been

15, 5/3, 5/27

or (and I suspect this to be true)

15, 9, 27/5

under that assumption we have

s1 = 15

r = 3/5

sn = sn-1 × r = s1 × r^(n-1) = 15 × (3/5)^(n-1)

s10 = 15 × (3/5)⁹ = 15 × 19683/1953125 =

= 3 × 19683/390625 = 59049/390625 =

= 0.15116544 ≈ 0.151

6 0
2 years ago
The coefficient of 8 • 2N is _____.
lesantik [10]

Answer:

16 is the coefficient of N.

Step-by-step explanation:

Coefficient is a multiplicative factor in some term of a polynomial, a series, or any expression; it is usually a number, but may be any expression. In the latter case, the variables appearing in the coefficients are often called parameters, and must be clearly distinguished from the other variables. The coefficients of an algebraic term can be positive or negative, and this multiplies the unknown term.

For example:

In 2a, 2 is the coefficient of a;

In x, 1 is the coefficient of x but it is not visible;

In 2/3p, 2/3 is the coefficient of p;

In -3f, -3 is the coefficient of f;

In 3 × 6t, 18 is the coefficient of t.

Variable is a symbol, commonly a single letter, that represents a number, called the value of the variable, which is either arbitrary, not fully specified, or unknown. Making algebraic computations with variables as if they were explicit numbers allows one to solve a range of problems in a single computation. A typical example is the quadratic formula, which allows one to solve every quadratic equation by simply substituting the numeric values of the coefficients of the given equation for the variables that represent them.

So,

In 8 × 2N, 16 is the coefficient of N ( 8 × 2 = 16)

N is the variable.

7 0
3 years ago
If 2x = 5y + 3, express y in terms of x.
Slav-nsk [51]

Answer:

y = 2/5 x - 3/5

Step-by-step explanation:

2x = 5y + 3

Rewrite

5y + 3 = 2x

Subtract 3 from both sides

5y = 2x - 3

Divide both sides by 5

y = 2/5 x - 3/5

3 0
3 years ago
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