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Setler [38]
3 years ago
14

5x^2 -15x-140 what method should be use?

Mathematics
1 answer:
elena55 [62]3 years ago
8 0
5x^2 -15x-140

5(x² -(3x) -28)

5(x² +(4x-7x)-28)

5(x(x+4) -7(x+4)

5(x-7)*(x-4)



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Select all of the following that would be an acceptable set builder notation for the set {7, 8, 9, 10, 11, 12, 13, 14}.
ludmilkaskok [199]
<h3>Answer: Choice B</h3>

{x | x is a natural number with 6 < x < 15}

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Explanation:

The given set is in roster notation. Think of a baseball or football team (or any sports team) how their roster lists out all of the players. In this case, each number is like a player.

The idea here is to simplify the set so we don't have to write out every single item. Instead we have a rule to make things a bit simpler.

In this case, the set {7, 8, 9, 10, 11, 12, 13, 14} describes all natural numbers from 7 to 14

This means we can say {x | x is a natural number with 6 < x < 15}

Note how the endpoints x = 6 and x = 15 are not included. This is because there isn't a "or equal to" as part of the inequality sign. Sure enough 6 and 15 are not part of the original set.

An equivalent set would be \{ x | \text{ x is a natural number with } \ 7 \le x \le 14\} and here we have "or equal to" involved. For this example, the endpoints x = 7 and x = 14 are included.

--------------

Something like choice A and choice D are not complete answers because we don't know if x is a whole number, natural number, rational number, real number, etc. If x was say a real number, then x = 10.75 would be involved with choice A. But 10.75 is not part of the original set.

5 0
3 years ago
What is an written expression for 20+5×9
BartSMP [9]

Answer:

Five times nine plus twenty

Step-by-step explanation:

Just remember the order of operations... multiplication and division are done first before adding and subtracting.

7 0
3 years ago
20% of 145<br> Please show work!!!!<br> I need an answer ASAP!!!!
IRISSAK [1]

Answer:

20/100 × 145

2/10 × 145

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Thus, 20% of 145 is 29

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The correct answer is the One fired from from 60° . This is because the projectile fired from 60° has a greater vertical velocity compared to the one fired from 30° and therefore spends more time on air. Vertical velocity is the velocity of a body as it moves upwards, it is normally affected by the gravitational acceleration, however it is not affected by the horizontal velocity.
5 0
2 years ago
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Need help pronto! Will give brainliest!
irina1246 [14]
156°

D is a 24° angle, and is placed in a 90° angle, so 90-24=66

C is a right angle, so 90+66=156°

Hope this helped!
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