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adoni [48]
2 years ago
5

What is limit of (x cubed 3 x squared 4 x minus 12) as x approaches negative 3? –78 –24 30 54

Mathematics
1 answer:
Sergio039 [100]2 years ago
7 0

The limit of the expression as x approaches -3 is -24

<h3>How to determine the limit of the expression?</h3>

The expression is given as:

x^3 + 3x^2 + 4x - 12

As x approaches -3.

The limit expression becomes

\lim_{x \to -3} x^3 + 3x^2 + 4x - 12

Substitute -3 for x in the expression

\lim_{x \to -3} (-3)^3 + 3(-3)^2 - 4*3 - 12

Evaluate the expression

\lim_{x \to -3} -24

Hence, the limit of the expression as x approaches -3 is -24

Read more about limit expressions at:

brainly.com/question/16176002

#SPJ4

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Twice the diffrence of a number and 9 is equal to three times the sum of the number and 5. Find the number
Elan Coil [88]
2(n-9) = 3(n + 5)
2n - 18 = 3n + 15
2n - 3n = 15 + 18
-n = 33
n = -33
5 0
3 years ago
If x= -8 and y=-4​, evaluate the expression.<br> <img src="https://tex.z-dn.net/?f=%5Cfrac%7B3x-4%7D%7By-3%7D" id="TexFormula1"
bagirrra123 [75]

Your answer would be 4.

If we substitute in x = -8 and y = -4 into the expression, we get:

\frac{3(-8) - 4}{-4 - 3}

This then becomes:

\frac{-24 - 4}{-7} = \frac{-28}{-7} = 4.

I hope this helps!

6 0
3 years ago
Can somebody help me on 23 and 24, it’s geometry
Luda [366]

Question 23:

x = 4

DE = 44

Question 24:

x = 25

SE = 28

Step-by-step explanation:

As RS is the perpendicular bisector of DE, it will divide DE in two equal parts DS and SE

<u>Question number 23:</u>

Given

DS = 3x+10

SE = 6x-2

As the two segments are equal:

DS = SE\\3x+10 = 6x-2

Subtracting 10 from both sides

3x+10-10 = 6x-2-10\\3x = 6x-12

subtracting 6x from both sides

3x -6x = 6x-6x-12\\-3x = -12

Dividing both sides by -3

\frac{-3x}{-3} = \frac{-12}{-3}\\x = 4

Now

DS = 3x+10\\= 3(4)+10\\= 12+10\\=22

And

SE = 6x-2\\= 6(4)-2\\= 24 - 2\\=22\\DE = DS+SE\\= 22+22\\=44

<u>Question No 24:</u>

Given

DS = x+3

DE = 56

We know that:

DS = \frac{1}{2}DE\\x+3 = \frac{56}{2}\\x + 3 = 28\\x = 28-3\\x = 25

So

DS = 25+3 = 28

As DS is 28, SE will also be 28

Hence,

Question 23:

x = 4

DE = 44

Question 24:

x = 25

SE = 28

Keywords: Bisector, Line segment

Learn more about line segments at:

  • brainly.com/question/629998
  • brainly.com/question/6208262

#LearnwithBrainly

4 0
3 years ago
Justin is on a road trip. Over the past 2 days, he has driven a total distance of 715 miles at an average speed of 65 miles per
julia-pushkina [17]

Answer:

1 hour did he drive yesterday

7 0
2 years ago
Find the greatest common factor of 15x^2 y^3 and -20x^3 yz.
katrin [286]
The answer is 5x^2y. The lowest exponent would be the GCF for each term if it has one
8 0
3 years ago
Read 2 more answers
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