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8_murik_8 [283]
3 years ago
7

3. Write the following equation in slope intercept form: -2x + y = 9 A.) Y = -2x + 9 B.) Y = -2x – 9 C.) Y = 2x + 9 D.) Y = 2x –

9
Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
4 0

Hey! :)

So when we write something in slope intercept form, all we're doing is solving for y. So let's do that with this equation!

-2x + y = 9

add 2x to both sides

y = 2x + 9

So C is your answer.

Please let me know if you need anything further explained!

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Consider the following argument. If there are as many rational numbers as there are irrational numbers, then the set of all irra
FrozenT [24]

Answer:

b. form: p → q invalid, converse error q ∴ p

Step-by-step explanation:

Let

p = "there are as many rational numbers as there are irrational numbers,"

let

q = "the set of all irrational numbers is infinite."

We can write the above argument as:

If there are as many rational numbers as there are irrational numbers, then the set of all irrational numbers is infinite

p → q

The set of all irrational numbers is infinite

q

There are as many rational numbers as there are irrational numbers

p

So collectively it can be written as:

p → q

 q

∴p

So it looks like

if p then q

q

therefore p

This is a fallacious argument.  This means the conclusion can be false even when the premises are true. This type of argument is invalid.

Suppose we know that “If there are as many rational numbers as there are irrational numbers, then the set of all irrational numbers is infinite” is a true conditional statement. We also know that "the set of all irrational numbers is infinite" is true. This is not enough to say that "there are as many rational numbers as there are irrational numbers," is true. The reason for this is that there is nothing logically about “If p then q” and “q” that means p must follow. So this is a converse error and since converse error is an invalid method of inference rule so this argument is invalid.

Let us prove this argument is invalid with a truth table:

p   q   p → q   q   p

T   T      T       T   T

T   F      F       F   T

F   T      T       T   F

F   F      T       F   F

Since we know that the premises are:

p → q   and  q

and the conclusion is p

and an argument is valid if and only if all of its premises are true, then the conclusion is true. We should check that whenever both p → q   and  q are true then p is true but the third row fails. Thus this is an invalid argument.

6 0
3 years ago
What is the standard form of the points (-3,4) (2,-6)
Bas_tet [7]

The standard form equation of the line connecting the two points is 2x +  y = -2

Linear equation in a standard form is given as Ax + By = C

where,

A, B, and C are constants or numbers

x and y are the variables.

To solve this problem, the following steps would be taken:

Step 1: Find the slope of the line connecting points (-3,4) and (2,-6)

slope (m) = \frac{y_2 - y_1}{x_2 - x_1}

where,

(x_1, y_1) = (-3,4)\\(x_2, y_2) = (2,-6)

Substitute

slope (m) = \frac{-6 - 4}{2 -(-3)} \\m = \frac{-10}{5}\\m = -2

Step 2: Find the y-intercept (b) of the line by substituting (x, y) = (-3,4) and m = -2 into y = mx + b (slope-intercept form)

4 = -2(-3) + b\\4 = 6 + b\\4 - 6 = 6 + b - 6\\-2 = b\\b = -2

Step 3: Write the equation of the line in slope-intercept form by substituting m = -2 and b = -2 into y = mx + b

y = -2x + (-2)\\y = -2x - 2

Step 4: Rewrite the equation in standard form (Ax + By = C)

y = -2x - 2\\

Add 2x to both sides

2x + y = -2x - 2 + 2x\\2x +  y = -2

The standard form equation of the points (-3,4) and (2,-6) is 2x +  y = -2

Learn more about standard form of two points of a linear equation here:

brainly.com/question/18446164

6 0
3 years ago
What is the result of adding these two equations?<br> - 2x + y = -5<br> - 2x - 4y = 6
Gelneren [198K]

Answer: 5y = -11

Step-by-step explanation:

-2x + y = -5

(-2x - 4y = 6) -1

-2x + y = -5

2x + 4y = -6

System by elimination method

0 + 5y = -11

5y = -11

4 0
3 years ago
Read 2 more answers
Apply the distributive property to create an equivalent expression.
Amanda [17]

The distributive property: a(b + c) = ab + ac


(-7c + 8d)0.6 = (-7c)(0.6) + (8d)(0.6) = -4.2c + 4.8d

7 0
3 years ago
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Find the volume of the prism
hichkok12 [17]

Answer:

do you have an image for that?

Step-by-step explanation:

4 0
3 years ago
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