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baherus [9]
3 years ago
15

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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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

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→ Add 16 to both sides

∴ 4 + 16 = -16 + 16 + b

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→ Switch x and y

∴ -8x + y = 20

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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 ..

8 0
4 years ago
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Tanzania [10]
(sorry if it's too late and you've already figured it out, but here you go anyway)
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(x-1)(x-1)
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inner: (-1*x) = -x
Last: (-1*-1) = 1
Added: x^2 -2x +1
Now take that answer and do the same thing with (x-1). It's basically the same thing, just with an added thing you need to multiply.
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taurus [48]

Answer:

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