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Anika [276]
3 years ago
14

If g(x)=x+1/x-2 and h(x)=4-x, what is the value of (g•h)(-3)

Mathematics
1 answer:
beks73 [17]3 years ago
8 0

Answer:

14/5

Step-by-step explanation:

That " • " signifies multiplication.

g(x) = (x + 1) / (x - 2) and h(x) = 4 - x are to be multiplied together to obtain (g·h)(x):  

                (x + 1)(4 - x)

(g·h)(x) = --------------------

                       x - 2

This could be simplified.

But our task is to evaluate this product function at x = -3.  So we replace each instance of x with -3:

                ( -3 + 1 )( 4 - [-3] )           (-2)(7)

(g·h)(-3) = --------------------------  =  ----------- = 14/5

                      -3 - 2                            -5

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(X-2) is a factor of x^4+2x^3-7x^
zysi [14]

Answer:

x−2x4+2x3−7x2−8x+12=x3+4x2+x−6

The rational root theorem suggests that other possible roots may be -6, 6, -3, 3, -2, 2, -1, and 1. It turns out that x=-2x=−2 is a root, since (-2)^3+4(-2)^2+(-2)-6=0(−2)3+4(−2)2+(−2)−6=0 , so x+2x+2 is also a factor and we have

\dfrac{x^4+2x^3-7x^2-8x+12}{(x-2)(x+2)}=x^2+2x-3(x−2)(x+2)x4+2x3−7x2−8x+12=x2+2x−3

Finally, we can factorize the remaining quotient easily:

x^2+2x-3=(x+3)(x-1)x2+2x−3=(x+3)(x−1)

so the other factors are x+2x+2 , x+3x+3 , and x-1x−1 .

6 0
2 years ago
During taylor's experiment, which piece of data would be qualitative?
Reptile [31]

There isn't any piece of data during Taylor's experiment which can be taken as  qualitative. Thus, correct choice is: Option D: None are qualitative.

<h3>What is qualitative data?</h3>

Qualitative data tells about the quality or characteristic. It is tough to express it numerically or not at all expressible numerically. They are usually catagorical.

In contrast, there is quantitative data which can be expressed numerically.

The problem is missing its option, which are:

  1. mass of the cars
  2. degree of the ramp incline
  3. time in seconds
  4. none are qualitative

Mass can be measured (in kgs, grams etc), degree of inclination can be measured (in radians, degree etc), time can be measured (in seconds, minutes etc).

Thus, there isn't any piece of data during Taylor's experiment which can be taken as  qualitative. Thus, correct choice is: Option D: None are qualitative.

Learn more about qualitative and quantitative data here:

brainly.com/question/12929865

5 0
2 years ago
A ferris wheel can accommodate 70 people in 20 minutes; how many people could ride the ferris wheel in 4 hours?
kirill115 [55]

Answer:

840

Step-by-step explanation:

if it can hold 70 in 20 minutes it can hold 210 in 1 hour and 4x210 equals 840

3 0
3 years ago
Use Natural Logarithms to solve the equation
Rus_ich [418]

Answer:

A) 0.106

Step-by-step explanation:

8e^3x + 4 = 15

Subtract 4 from each side

8e^3x + 4-4 = 15-4

8e^3x  = 11  

Divide each side by 8

8/8e^3x = 11/8

e^(3x) = 11/8

Take the natural log of each side

ln(e^(3x)) = ln(11/8)

3x = ln(11/8)

Divide by 3

3x/3 = 1/3 ln(11/8)

x = 1/3 ln(11/8)

x =.106151244

To the nearest thousandth

x = .106

7 0
3 years ago
Oliver and his three friends equally share the cost of an Uber to go to the movies. The total Uber fare is $12.80. How much mone
PIT_PIT [208]
3 dollars a d 20 cents I hope
5 0
3 years ago
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