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3 years ago

The sum of three consecutive even integers is 258. write an equation ad solve to find the integers

Mathematics

2 answers:

slavikrds [6]3 years ago

8 0

The consecutive integers are 85,86,87

Explanation:

the first number

the second number

the third number

(

)

(

)

258

−

255

vodka [1.7K]3 years ago

5 0

Let x, x+2 and x+4 be the three consecutive even integers

from question, we have,
x+x+2+x+4 = 258
=> 3x + 6 = 258
=> 3x = 252
=> x = 252/3
=> x = 84
now,
x+2 = 86
and x+ 4 = 88
therefore the three consecutive even integers are 84, 86 and 88

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The range of all real numbers x such that 2x − 5 < 7 and 4x + 10 > 6 is

hammer [34]

2x - 5 < 7
2x = 12
x = 6

4x + 10 > 6
4x = - 4
x = - 1

( - 1 , 6 )

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5 0

3 years ago

Please HELP

eduard

Answer:

Let B = (x, y)

Given A = (8, 9)

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option 3

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3 years ago

Which of the following statements has the same truth value as the statement "If it is Friday, then Bruce has beans for supper."?

german

If Bruce does not have beans for supper, then it is not Friday.

6 0

3 years ago

How many 3/4s are in 6

Pepsi [2]

Hey there!
Let's first find an easier situation.
If we're saying:
How many fives are in ten?
We're doing 10 divided by 5, because we're seeing how many 5's go into 10.
It's no different here.
We will be doing 6 divided by 3/4, just as we did with our simpler situation.
Using our "keep, switch, flip" rule (keep first term, change to multiplication, take reciprocal of second term)
we get:
6 divided by 3/4
=
6 * 4/3
= 24/3
= 8 3/4's in 6.

Hope this helps!

7 0

3 years ago

F(x)=2x+1/x-1 then f^-1(1)

olasank [31]

Answer:

f⁻¹(x) = (x + 1) / (x - 2)
f⁻¹(1 ) = - 2

Step-by-step explanation:

Given function:

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

Find its inverse, substitute x with y and f(x) with x, solve for y:

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

Substitute y with f⁻¹(x):

f⁻¹(x) = (x + 1) / (x - 2)

Find f⁻¹(1 ):

f⁻¹(1 ) = ( 1 + 1) / (1 - 2) = 2 / - 1 = - 2

6 0

2 years ago