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3 years ago

The diagram represents two statements: p and q.

Mathematics

1 answer:

suter [353]3 years ago

5 0

Answer:

The Region A represents p

The Region B represents p ∧ q

The Region C represents q

Step-by-step explanation:

The figure is as follows :

Given - The diagram represents two statements: p and q.

To find - Which represents regions A, B, and C?

A) p v q

B) p -> q

C) q ^ p

D) q -> p

Solution -

From the figure, we can see that,

The Region A represents p

The Region B represents p ∧ q

The Region C represents q

The truth table is as follows :

p q p ∧ q

T T T

T F F

F T F

F F F

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Answer:

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Step-by-step explanation:

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3 years ago

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Write an equation in standard form of the line that contains the point (-2,4) and is parallel to (has the same slope as) the lin

CaHeK987 [17]

Answer:

The equation of the line in standard form is -8x + y = 20

Step-by-step explanation:

The standard form of the linear equation is Ax + By = C, where

A, B, and C are integers

The slope-intercept form of the linear equation is y = m x + b, where

m is the slope

b is the y-intercept

Parallel lines have equal slopes

∵ The line is parallel to the line y = 8x - 2

→ Compare it with the slope-intercept form above

∴ m = 8

∵ The parallel lines have the same slopes

∴ The slope of the line = 8

→ Substitute it in the slope-intercept form above

∴ y = 8x + b

∵ The line passes through the point (-2, 4)

∴ x = -2 and y = 4

→ Substitute x by -2 and y by 4 in the equation to find b

∵ 4 = 8(-2) + b

∴ 4 = -16 + b

→ Add 16 to both sides

∴ 4 + 16 = -16 + 16 + b

∴ 20 = b

→ Substitute the value of b in the equation above

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∵ y - 8x = 8x - 8x + 20

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→ Switch x and y

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∴ The equation of the line in standard form is -8x + y = 20

8 0

3 years ago

What is the product of the polynomials shown below?

Sindrei [870]

Answer:

B. 14x^3+39x^2+18x+20

Step-by-step explanation:

Given polynomials are:

$(7x^2+2x+4)(2x+5)\\For\ product\\(2x+5)(7x^2+2x+4)\\= 2x(7x^2+2x+4)+5(7x^2+2x+4)\\= 14x^3+4x^2+8x+35x^2+10x+20\\Combining\ alike\ terms\\= 14x^3+4x^2+35x^2+8x+10x+20\\=14x^3+39x^2+18x+20$

The product of given polynomials is:

14x^3+39x^2+18x+20

Hence, Option B is correct ..

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4 years ago

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Multiply and simplify. (x - 1)(x - 1)(x - 1)

Tanzania [10]

(sorry if it's too late and you've already figured it out, but here you go anyway)
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So just start with (x-1)(x-1)
(x-1)(x-1)
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inner: (-1*x) = -x
Last: (-1*-1) = 1
Added: x^2 -2x +1
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Now add everything together:
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The answer is:
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3 years ago

Hello! Anyone able to help me with question 3 + explanation too? Thanks!

taurus [48]

Answer:

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3 years ago

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