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3 years ago

What is used to show that an assumption is false? a. inductive reasoning b. counterexample c. pattern d. conjecture

Mathematics

2 answers:

lesya692 [45]3 years ago

3 0

I think conjecture is the answer

Rufina [12.5K]3 years ago

3 0

Answer:

It's b.

Step-by-step explanation:

That would be a counterexample.

For example we might conjecture that all numbers of the form n^2 - n + 41 are prime numbers. This is false because of the counterexample if n = 41 then 41^2 - 41 + 41 is divisible by 41.

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Juan has x apples and 8 oranges how many pieces of fruit does he have give your answer in terms of x

Marat540 [252]

The expression would be: x+8
The equation would be: x+8=

5 0

4 years ago

Find the slope of each line and then determine if the lines are parallel, perpendicular or neither. If a value is not an integer

Aleonysh [2.5K]

As given by the question

There are given that the point of two-line

$\begin{gathered} (1,\text{ 7) and (5, 5)} \\ (-1,\text{ -3) and (1, 1)} \end{gathered}$

Now,

From the condition of a parallel and perpendicular line

If the slopes are equal then the lines are parallel

If the slopes are negative reciprocal then the lines are perpendicular

If the slopes are neither of the above are true then lines are neither

Then,

First, find the slope of both of line

So,

For first-line, from the formula of slope

$\begin{gathered} m_1=\frac{y_2-y_1}{x_2-x_1} \\ m_1=\frac{5_{}-7_{}}{5_{}-1_{}} \\ m_1=-\frac{2}{4} \\ m_1=-\frac{1}{2} \end{gathered}$

Now,

For second-line,

$\begin{gathered} m_1=\frac{y_2-y_1}{x_2-x_1} \\ m_1=\frac{1_{}-(-3)_{}}{1-(-1)_{}} \\ m_1=\frac{4}{2} \\ m_1=2 \end{gathered}$

The given result of the slope is negative reciprocal because

$\begin{gathered} -\frac{1}{2}=-(-\frac{2}{1}) \\ -\frac{1}{2}=2 \end{gathered}$

Hence, the slope of line1 is -1/2, and slope of line2 is 2 and the lines are perpendicular.

5 0

1 year ago

Xsquared+11x+28+xsquared+13x+40

UNO [17]

X² + 11x + 28 + x² + 13x + 40

combine like terms

x² + x² = 2x²
11x + 13x = 24x
28 + 40 = 68

2x² + 24x + 68 is your answer

if you want it simplified:

2(x² + 12x + 34)

hope this helps

5 0

4 years ago

The sum of three consecutive odd integers is 69. find the integers

Marta_Voda [28]

Let the integers be x-2, x, x+2.

Given,

x -2 + x + x + 2 = 69

3x = 69

x = 23

Hence, the integers are 21, 23 and 25.

6 0

3 years ago

Two sides of a triangle measure 10 centimeters and 15 centimeters what is the measure of the third side

Lady_Fox [76]

Between Greater Than 5 And less than 25

Rule says the sum of two sides must be greater than the third
You get e extremes by subtracting the numbers and the other by adding them

8 0

3 years ago