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3 years ago

three consecutive integers such that 3 times the sum of the first and second is one greater than 4 times the third.??

Mathematics

1 answer:

weeeeeb [17]3 years ago

8 0

Remark

I take it you want the integers to this problem.

Givens

The smallest integer = x - 1

The middle integer = x

The largest integer = x + 1

Equation

3( x - 1 + x) = 4(x + 1) + 1 Remove the brackets on both sides.

3(2x - 1) = 4x + 4 + 1

6x - 3 = 4x + 5 Subtract 5 from both sides.

-3 - 5 + 6x = 4x

- 8 + 6x = 4x Subtract 6x from both sides

- 8 = 4x - 6x

- 8 = -2x Divide by -2

-8/-2 = x

x = 4

Check

smallest integer = 3

middle integer = 4

largest integer = 5

3(3 + 4) = 4(5) + 1

3(7) = 4(5) + 1

21 = 20 + 1

21 = 21 and it checks.

Answer

the smallest number is 3

the middle number is 4

The largest number = 5

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3 years ago

PLEASE HELP!!!!!! DUE!!!!!!!!!

ollegr [7]

Answer:

y = 1/4x - 2

Step-by-step explanation:

Line whose perpendicular which we have to find : 8x+2y=14

A line which is in the form of ax + by = c

has slope - a / b

Thus slope for 8x+2y=14 is -8/2 = -4.

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Slope of two lines with slope m1 and m2 which are perpendicular to each other have the slope relation as

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here m1 is -4. we have to fine m2

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Equation of slope intercept form line is y = mx + c

c is the intercept of line on y axis

and m is the slope of line.

Thus required line has equation

y = mx + c

m we have calculated as 1/4

thus

y = 1/4x + c

Given that this line passes through (−4,−3). Hence, this point will satify the equation y = 1/4x + c.

Substituting value of x and y with coordinates we have (−4,−3)

-3 = (1/4) * (-4) + c

-3 = -1 + c

=> c = -3 + 1

=> c = -2

y = 1/4x + c , substituting the value c calculated

y = 1/4x - 2

Thus , equation of line perpendicular to the line 8x+2y=14 and passing through point (−4,−3) is y = 1/4x - 2.

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skelet666 [1.2K]

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