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3 years ago

How many counterexamples does it take to show that a conditonal statement is false?

Mathematics

1 answer:

iren [92.7K]3 years ago

5 0

Answer:

one

Explanation:

First, note that a conditional statement in mathematics refers to a statement in which a hypothesis is given followed by a conclusion. Such as saying if P then "Q”, P and Q are sentences.

For example, a good example of conditional statement;

"If today is Sunday, then tomorrow is Monday"(hypothesis not underlined; condition underlined). While the counterexample could be one example or statement that satisfies the condition(s) of the statement but does not satisfy the conclusion.

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Whats the inverse function of d(t)=70t

Charra [1.4K]

Answer:

d^-1(t)=t/70

Step-by-step explanation:

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3 years ago

Nathaniel writes the general form of the equation gm = cm + rg for when the equation is solved for m. He uses the general form t

Snowcat [4.5K]

Answer:

Step-by-step explanation:

gm=cm+rg

gm-cm=rg

m(g-c)/g-c = rg/g-c

m=r g/g-c

-3m=4m-15

-3m-4m=-15

-7m=-15

-15/-7m

= -2.14

-15/-3-4= 2.14

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3 years ago

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Solve x2 - 8x - 9 = 0. Rewrite the equation so that it is of the form x2 + bx = c.

barxatty [35]

Answer:

x=9,-1 and $x^2+(-8)x=9$

Explanation:

we have been given with the quadratic equation $x^2-8x-9$

we compare the given quadratic equation with general quadratic equation

general quadratic is $ax^2+bx+c=0$

from given quadratic equation a=1,b= -8,c= -9

substituting these values in the formula for discriminant $D=b^{2}-4ac$

$D=(-8)^2-4(1)(-9)=100$

Now, to find the value of x

Formula is $x=\frac{-b\pm\sqrt{D}}{2a}$

Now, substituting the values we will get

$x=\frac{-(-8)\pm\sqrt{100}} {2}= \frac{8\pm10}{2}=9,-1$

And rewritting the given equation by shifting 9 to right hand side of the given equation and taking minus inside the bracket so as to convert it in the form of

$x^2+bx=c$

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3 years ago

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Vika [28.1K]

Answer:

The second one (B)

Step-by-step explanation:

u don't multiply a number by the same number if u know what I mean

hope this helps <3

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3 years ago

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Standard printer paper has a thickness of 0.1mm. write an equation for a function that should approximately the thickness of a s

ladessa [460]

Folding a paper will make it thickness become double from it before.
Unfolded paper has 1 thickness
1 times folded paper has 2 thickness
2 times folded paper has 4 thickness
3 times folded paper has 8 thickness

From here it is clear that the pattern is $2^{n}$ . SInce the paper is 0.1mm, then the function would be:
f(n)= $2^{n}$ x 0.1mm

4 0

3 years ago