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3 years ago

The sum of two consecutive even integers is 226. What is the larger integer?

1 answer:

8 0

Hello there!

The larger integer is 114.

x + (x + 2) = 226

Combine like terms

2x + 2 = 226

Subtract 2 from both sides

2x = 224 Divide

x = 112

The two integers are 112 and 114. But they asked us for the lager integer. So 114 is the answer.

I hope this helps! As always, it is my pleasure to help students like you!

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Solve: –3x – 24 ≤ –36 what is x equal to?

Kay [80]

Answer:

X <= 4

Step-by-step explanation:

-3x - 24<= -36

Make -3x the subject, by carrying -24 to the other side

Note: Moving -24 to the other side changes to + 24

-3x <= -36 + 24

-3x <= - 12

Minus cancels minus

3x <= 12

Divide both sides by 3,to get the value of x

3x/3 <= 12/3

x <= 12/3

x <= 4

Therefore, x equals to 4

6 0

3 years ago

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What happens when you get a negative square root in the quadratic formula?

prisoha [69]

Edited : I apologise I misunderstood the question.

You can solve the equation.

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3 years ago

Factor each polynomial. Look for a GCF first

weeeeeb [17]

Answer:

20. $x\left(x-6\right)\left(x+8\right)$

22. $2\left(x+1\right)\left(x+4\right)$

24. $5m\left(m-1\right)\left(m+7\right)$

Step-by-step explanation:

20. $x^3+2x^{2} -48x$

The GCF is x, so you group it out of the equation first.

$x(x^{2} +2x-48)$

Then, you find 2 numbers that will equal to 2 when you add them and will equal to -48 when you multiply them.

$?+?=2\\?*?=-48$

The two numbers would be -6 and 8. You then differentiate the squares.

$x\left(x-6\right)\left(x+8\right)$

22. $2x^{2} +10x+8$

The GCF is 2, so you must group it out.

$2(x^{2} +5x+4)$

Find the two numbers that will equal to 5 when you add them and will equal to 4 when you multiply them.

$?+?=5\\?*?=4$

The two numbers would be 1 and 4. Finally, differentiate the squares.

$2\left(x+1\right)\left(x+4\right)$

24. $5m^{3} +30m^2-35m$

The GCF is 5m, so you must group it out.

$5m(m^2+6m-7)$

Find the two numbers that will equal to 6 when you add them and will equal to -7 when you multiply them.

$?+?=6\\?*?=-7$

The two numbers would be -1 and 7. Finally, differentiate the squares.

$5m\left(m-1\right)\left(m+7\right)$

7 0

2 years ago

Determining probability of events. please help!

Aneli [31]

I am inclined to think that it is A. or B. Because they represent the highest probability, if it is not those it might be D.

This probably didn’t help, but if it did. I am glad （╹◡╹）

6 0

3 years ago

Astrid is in charge of building a new fleet of ships. Each ship requires 40 tons of wood, and accommodates 300 sailors. She rece

Elena L [17]

Answer: 280 tons

Step-by-step explanation: divide all at tons/pound which accumulated to 280 tons

7 0

3 years ago