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Contact [7]
3 years ago
14

Identify the vertical and horizontal asymptotes for (2x+4)/(x^2+5x+6)

Mathematics
1 answer:
melomori [17]3 years ago
4 0

Step-by-step explanation:

(2·x + 4) / (x^2 + 5·x + 6)

factorise

= 2·(x + 2) / ((x + 3)·(x + 2))

= 2 / (x + 3)

vertikal asymptotes x = -3

horizontal asymptotes y = 0

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What is the rule of a function of the form f(t)= a sin (bt+c) +d whose graph appears to be identical to the given graph?
Gnoma [55]

Answer:

Option D.

Step-by-step explanation:

We can easily solve this problem by using a graphing calculator or plotting tool.

The function is

f(t) = a*sin (b*t +c) + d

Please, see attached picture below.

By looking at the picture with all the possible cases, we can tell that the correct option is D.

The function has a period of T = 6π

Max . Amplitude = 9

Min . Amplitude = -5

7 0
4 years ago
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About how much air would fill a ball with a radius of 16cm
podryga [215]
100.531cm is the answer 
3 0
4 years ago
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4.0 x 10<br> 3<br> kJ/mol<br> How many significant digits are there
salantis [7]

Answer:

2

Step-by-step explanation:

4.0 has 2 significant digits.

The zeros after a non zero number are significant.

Any non zero number is significant.

0.004 has 1 significant digit.

4000 has 4 significant digits.

In your case 4.0 × 10^3 there is an exception because it is in scientific notation. So there are 2 significant digits.

hope this makes sense.

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5 0
3 years ago
A projectile is fired from a cliff 200 above the water at an inclination of 45 degree to the horizontal, with a muzzle velocity
iVinArrow [24]
<h2>Horizontal distance when projectile strikes water surface is 170 .02 feet</h2>

Step-by-step explanation:

The height is given by

                    h(x)=-\frac{32}{50^2}x^2+x+200

We need to find when it strikes the water surface,

At water surface h = 0 feet

Substituting

                  h(x)=-\frac{32}{50^2}x^2+x+200=0

Solving this quadratic equation to get x.

                 -32x² + 2500x + 500000 = 0

                  32x² - 2500x - 500000 = 0

                  x = 170 .02 feet  or  x = -91.90 feet

Negative x is not possible

Horizontal distance when projectile strikes water surface = 170 .02 feet

3 0
3 years ago
What is the solution set for -2x + 4 &gt; -12? ​
anygoal [31]

Answer: x<8

Step-by-step explanation:

Hope I was right

5 0
3 years ago
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