Can you define the mathematical term conjecture in one sentence please?

Answers

Answer 1

Answer: A conjecture is a statement that's believed to be true, but hasn't yet been
proved or disproved. 'Conjecture' is a synonym for 'hypothesis'.

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Factor completely 3x2 + 9x − 3.3(x2 + 3)

3(x2 + 3x − 1)

3x(x2 + 3x − 1)

Prime

Answers

Answer:

Option (2) is correct choice.

Step-by-step explanation:

Given polynomial $3x^2+9x-3$

We have factorize the given polynomial and choose the correct from options given.

Factor are the smallest forms a given number is broken such that the product of factors gives back the number we factorized.

Here, $3x^2+9x-3$

First taking 3 common from whole expression.

$3x^2+9x-3=3(x^2+3x-1)$

Thus, option (2) is correct choice.

Factor completely: 3x2 + 9x − 3

3x2 + 9x − 3 (a 3 can be divided from each number)
3(x2+3x-1)

can x2+3x-1 be factored out anymore? no

3(x2+3x-1) is the answer

Simplify the expression.
(-8.6) ^0
0
-8.6
1
-1

Answers

Any number raised to power of zero is always a one.
Thus (-8.6) ^0=1

Linear equation

4.5 + 1.5y=24
x-y=4

Answers

4.5x + 1.5y = 24 ⇒ 4.5x + 1.5y = 24
1.0x - 1.0y = 4   ⇒ 4.5x - 4.5y = 18
         6y = 6
      6    6
       y = 1
   4.5x + 1.5(1) = 24
   4.5x + 1.5 = 24
      - 1.5 - 1.5
      4.5x = 22.5
   4.5 4.5
       x = 5
      (x, y) = (5, 1)

What is the decimal equivalent of 40%?

Answers

The decimal equivalent of 40% is 0.4.

What is decimal equivalence?

'Equivalent decimals are two decimal numbers that are equivalent, that is, they represent the same value or amount.'

According to the given problem,

40% = 40/100

= 4/10

= 0.4

Hence, we can conclude, the decimal equivalent of 40% is 0.4.

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HELPPPPP!!!!!!!! ASAPPPPPPP!!!!!!!!!!Choose the best explanation for why the graph shown is a line of best fit.

The graph shows a line of best fit because the points fit around the line.

The graph shows a line of best fit because there is a straight line.

The graph shows a line of best fit because the association is zero.

The graph shows a line of best fit because the points are plotted evenly above and below the line.

Answers

The best explanation is that the graph shows a line of best fit because the points are plotted evenly above and below the line option (D) is correct.

What is the line of best fit?

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

$\rm m = (n\sum xy-\sum x \sum y)/(n\sum x^2 - (\sum x)^2) \n\n\n\nrm c = (\sum y -m \sum x)/(n)$

We have a line of best fit shown in the picture.

As we know if the slope of the line is positive then the correlation will be positive.

From the line of best fit:

Because the points are evenly spaced above and below the line, the graph displays a line of best fit.

Thus, the best explanation is that the graph shows a line of best fit because the points are plotted evenly above and below the line option (D) is correct.

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Answer:

The graph shows a line of best fit because the points are plotted evenly above and below the line.

Step-by-step explanation:

80,000,000 in expanded form, word form ,standard form