In order to create the negation of conditional statement "If p then q", it needs to be changed to read

Mathematics

2 answers:

d1i1m1o1n [39]3 years ago

6 0

C is your answer because it is more resinous

sleet_krkn [62]3 years ago

6 0

Answer:

D. "If p, then not q"

Step-by-step explanation:

The conditional statement is in the form of "if p, then q"

And negation of a conditional statement means the sentence is equivalent to "p and not q."

By definition, p → q is false if, and only if, its hypothesis, p, is true and its conclusion, q, is false. So, basically it is not q.

So, answer is : D. "If p, then not q"

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Anettt [7]

The upper comment is correct

4 0

3 years ago

We used these functions to represent the two sides of the equation:

katrin [286]

The solution to the system of equation graphed is (-1, -3)

<h3>Solution to system of equation</h3>

Given the system of equations graphed on the plane expressed as:

f(x) = 3x

g(x) = 4x + 1

Equate

f(x) = g(x)

3x = 4x + 1

3x - 4x = 1

-x = 1

x = -1

Determine the value of y

y = 3x

y = 3(-1)

y = -3

Hence the solution to the system of equation graphed is (-1, -3)

Learn more on system of equation here: brainly.com/question/847634

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2 years ago

P(x)=x^3+2x^2-4x-8 how do you factor this polynomial function

Wewaii [24]

<h2>Steps:</h2>

So for this, I will be factoring by grouping. Firstly, factor x³ + 2x² and -4x - 8 separately. Make sure that they have the same quantity inside of the parentheses:

$p(x)=x^2(x+2)-4(x+2)$

Now we can rewrite it as:

$p(x)=(x^2-4)(x+2)$

However, we aren't finished factoring yet. The first factor, x² - 4, can be factored further using the difference of squares. The difference of squares goes by the formula here: $x^2-y^2=(x+y)(x-y)$ . In this case: