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3 years ago

Anyone please help me pleaseeee

Mathematics

1 answer:

lora16 [44]3 years ago

6 0

R = { (x,y): 3x-y=0 }

The condition is 3x=y so that's not going to be any of these things.

R is reflexive if (x,x)∈R for all x. Let's check.

3x - y = 3x - x = 2x ≠ 0 necessarily. NOT REFLEXIVE

R is symmetric if (x,y)∈R → (y,x)∈R. Let's check.

(x,y)∈R so

3x-y = 0

y = 3x

Is (y,x)∈R. That would be true if 3y-x=0

3y - x = 3(3x) - x = 8x ≠ 0 necessarily NOT SYMMETRIC

R is transitive if (x,y)∈R and (y,z)∈R → (x,z)∈R. Let's check.

3x-y = 0 so y=3x

3y-z = 0 so z=3y = 9x

3x - z = 3x - 9x = -6x ≠ 0 necessarily NOT TRANSITIVE

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What is the thirty-second term of the arithmetic sequence -12, -7, -2, 3, ... ? Show your work.

anzhelika [568]

The thirty-second term is 143

Further explanation:

As it is already given that the given sequence is an arithmetic sequence

We have to find the common difference first

So,

$a_1=-12\\a_2=-7\\a_3=-2\\a_4=3$

$d=a_2-a_1=-7-(-12)=-7+12=5\\a_3-a_2=-2-(-7)=-2+7=5$

The common difference is 5.

And first term is -12

The explicit formula for arithmetic sequence is:

$a_n=a_1+(n-1)d\\Here,\\a_n\ is\ nth\ term\\a_1\ is\ first\ term\\d\ is\ common\ difference$

Putting the values in the formula

$a_n=-12+(n-1)(5)\\a_n=-12+5n-5\\a_n=-17+5n$

Putting n=32 in explicit formula

$a_{32}=-17+5(32)\\=-17+160\\=143$

The thirty-second term is 143

Keywords: Common difference, Arithmetic Sequence

Learn more about arithmetic sequence at:

#LearnwithBrainly

6 0

3 years ago

This means that √31 is between

Serggg [28]

5 and 6 (5 being the square root of 25 and 6 being the square root of 36, which are the closest perfect squares)

3 0

3 years ago

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dimulka [17.4K]

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Step-by-step explanation:

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4 years ago

Help me please :( i will give brainly ;))

12345 [234]

Step-by-step explanation:

a) Distance between Aranville t o Bowtown = 24 miless

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4 years ago

10. Write an equation in point-slope form and slope-intercept form for the line.

olga2289 [7]

We can use the points (2, -2) and (4, -1) to solve.

Slope formula: y2-y1/x2-x1

= -1-2/4-(-2)

= -3/6

= -1/2

Point slope form: y - y1 = m(x - x1)

y - 2 = -1/2(x + 2)

Solve for y-intercept.

-2 = -1/2(2) + b

-2 = -1 + b

-2 + 1 = -1 + 1 + b

-1 = b

Slope Intercept Form: y = mx + b

y = -1/2x - 1

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Best Regards,

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5 0

3 years ago