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amm1812
3 years ago
5

Evaluate lim

B3%7D%20%2B%202x%20%2B%206%20%7D%20" id="TexFormula1" title=" \frac{3 {x}^{2} + 5x - 1 }{4 {x}^{3} + 2x + 6 } " alt=" \frac{3 {x}^{2} + 5x - 1 }{4 {x}^{3} + 2x + 6 } " align="absmiddle" class="latex-formula">
​
Mathematics
2 answers:
Olin [163]3 years ago
6 0

Answer:

\lim_{x \to 0} =-\frac{1}{6}

Step-by-step explanation:

The first step in evaluating a limit should be to plug in the number to see if you get a result

When you plug in 0 to all of the x's in the expression, you are left with the constants -1 on the top and 6 on the bottom of the fraction.

So there's no need to go any further, the limit as x approaches 0 is -\frac{1}{6}

pogonyaev3 years ago
3 0

Answer:

-1/6

Step-by-step explanation:

To find the limit as x approaches 0 we can just plug in 0

for the numerator: 3*0+5*0-1 = -1

For the denominator: 4*0+2*0+6= 6

answer is just -1/6 or -.16666666666666666666667

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kolezko [41]

Answer:

x=13

Step-by-step explanation:

By the definition of an angle bisector, we have that 8x-23=5x+16.

We can add 23 to both sides to get 8x=5x+39.

We can then subtract 5x from both sides to get 3x=39.

We can finally divide both sides by 3 to get \boxed{x=13}

7 0
3 years ago
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The number 360 is increased by 25%. The result is then decreased by 50%. What is the final number?
Vladimir [108]
So if 360 is increased by 25%, you would end up with 450 (360 x 1.25), than if the result, 450 is decreased by 50% ( 450 x .50 = 225) (450 - 225 = 225) you would end up with 225.
3 0
3 years ago
The square root of 36 is what
Alekssandra [29.7K]

Answer:

Step-by-step explanation:

The square root of 36 is 6!

Hope it helps

3 0
3 years ago
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-X + 8 + 3x = x-6<br> Help
Alexeev081 [22]
The answer would be, x = -14
8 0
4 years ago
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Mattie Evans drove 350 miles in the same amount of time that it took a turbo propeller plane to travel 1200 miles. The speed of
frosja888 [35]

The speed of the plane will be equal to 240 Mph.

<h3>What is speed?</h3>

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance.

Given that:-

  • Mattie Evans drove 350 miles in the same amount of time that it took a turbo propeller plane to travel 1200 miles.
  • The speed of the plane was 170 mph faster than the speed of the car.

The speed of the plane will be calculated as:-

Let the speed of the car will be x mph so the speed of the plane will be

(x + 170)

Now time for the plane:-

Tp = Dp / Sp

Tp = 1200 / (x+170)

Now time for the car:-

Tc = Dc / Sc

Tc = 350 / x

It is given that time taken by both the plane and the car are equal:-

Tp  =  Tc

1200 / x+170 = 350 / x

1200x = 350x +  59500

850x  = 59500

x  =  59500 / 850

x  =  70mph

The speed of the plane will be calculated By:-

Sp = x + 170 = 70 + 170 = 240 Mph

Therefore the speed of the plane will be equal to 240 Mph.

To know more about Speed follow

brainly.com/question/6504879

#SPJ1

4 0
2 years ago
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