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Phantasy [73]
3 years ago
9

p(x)=(1)/(x+1) and q(x)=(1)/(x-1) perform the operation that results in another rational expression p(x)/q(x)

Mathematics
1 answer:
Bas_tet [7]3 years ago
3 0

9514 1404 393

Answer:

  p(x)/q(x) = (x -1)/(x +1)

Step-by-step explanation:

  p(x)\div q(x)=\dfrac{1}{x+1}\div\dfrac{1}{x-1}=\dfrac{1}{x+1}\times\dfrac{x-1}{1}\\\\ \boxed{\dfrac{p(x)}{q(x)}=\dfrac{x-1}{x+1}}

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Simplify:$$\sqrt{2\sqrt{8^2+15^2}+\sqrt{9^2+40^2}}$$
bagirrra123 [75]

Answer:

5\sqrt{3}

Step-by-step explanation:

\sqrt{2\sqrt{8^2+15^2}+\sqrt{9^2+40^2}}=?\\\\1)\sqrt{8^2+15^2}=\sqrt{289}=17\\2)\sqrt{9^2+40^2}=\sqrt{1681}=41\\3)2\times17=34\\4)\sqrt{34+41}=5\sqrt{3}

All Done!

8 0
3 years ago
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9. Write an algebraic expression for each verbal expression.
alexandr402 [8]
A) x+6
B)3x
C)x/7
D)4-5x
E)x^2-2
F)2X+16
4 0
2 years ago
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In a survey, 56 percent of people surveyed stated truthfully that they were married, while 30 percent of the people surveyed who
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Answer:

15 surveyed

Step-by-step explanation:

8 0
3 years ago
1. Delia purchased a new car for $23,350. This make and model straight line depreciates to zero after 13 years.
frosja888 [35]

Answer:

a. y-intercept = 23350 and x-intercept = 13

b. m = -\frac{23350}{13}

c. y = -\frac{23350}{13}x + 23350

Step-by-step explanation:

Given

Years = 13

Total\ depreciation = \$23350

Solving (a): The x and y intercepts

The y intercept is the initial depreciation value

i.e. when x = 0

This value is the value of the car when it was initially purchased.

Hence, the y-intercept = 23350

The x intercept is the year it takes to finish depreciating

i.e. when y = 0

From the question, we understand that it takes 13 years for the car to totally get depreciated.

Hence, the x-intercept = 13

Solving (b): The slope

The slope (m) is the rate of depreciation per year

This is calculated by dividing the total depreciation by the duration.

So:

m = \frac{23350}{13}

Because it is depreciation, it means the slope represents a deduction.

So,

m = -\frac{23350}{13}

Solving (c): The straight line equation

The general format of an equation is:

y = mx + b

Where

m = slope

b = y\ intercept

In (a), we have that:

y\ intercept = 23350

In (b), we have that:

Slope\ (m) = -\frac{23350}{13}

Substitute these values in y = mx + b

y = -\frac{23350}{13}x + 23350

<em>Hence, the depreciation equation is: </em>y = -\frac{23350}{13}x + 23350<em></em>

8 0
3 years ago
What is the missing coordinate of the square with corners at (4, 0), (6, 0) and (6, 2)?
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I think the answer is (4,2)
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3 years ago
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