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taurus [48]
3 years ago
6

Adding Rational Expressions

Mathematics
2 answers:
Elanso [62]3 years ago
7 0
Adding what rational expressions?
allsm [11]3 years ago
7 0
See picture reply. I hope you can follow.

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The relationship between two numbers is described below, where x represents the first number and y represents the second number.
solmaris [256]

Answer:

See below.

Step-by-step explanation:

x^2 = y + 16

4y - 1 = 7x  

are the 2 equations. (answer)

From the second equation

4y = 7x + 1

y = 7/4 x + 1/4

Substituting in the first equation:

7/4x + 1/4 + 16 = x^2

x^2 - 7/4 x - 16 - 1/4 = 0

x^2 - 7/4 x - 16 1/4 = 0

Multiplying though by 4

4x^2 - 7x - 65 = 0

Using the ac method to solve this  4 * -65 = -260 and we need  factors of this to add up to -7. -20 and 13 look good so we write:

4x^2 - 20x + 13x - 65 = 0

Fatcor by grouping:

4x(x - 5) + 13(x - 5) = 0

(4x + 13)(x - 5) = 0

So the the roots are 5, -3.25

To find the values of y we substitute these values of x into the second equation:

x = 5:  4y - 1 = 7*542y = 36

y = 9.

x = -3.25:

4y - 1 = 7*-3.25

4y =  (7 * -3.25) + 1

y = -5.44.

So the solutions are    (5, 9) and (-3.25, -5.44)  (Answer)

7 0
3 years ago
Robert finished the race 20 seconds before Tom. Tom finished the race in 95 seconds. Which expression shows the number of second
prisoha [69]

Answer: If Tom finished the race in 95 seconds and Robert finished 20 seconds before Tom, Robert finished in 75 seconds.

The expression that shows this is 95-20=75.

5 0
3 years ago
Read 2 more answers
Which of the following is equal
Bezzdna [24]

Answer:

C

Step-by-step explanation:

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3 years ago
Melissa and her mom go on a road trip. They drive 87 kilometers before lunch. They drive 59 kilometers after lunch. Estamate how
liubo4ka [24]

Not enough context...

5 0
4 years ago
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378 minutes = 6 hours 3 minutes<br> True or false <br> How would I figure this out
GrogVix [38]
This is incorrect.  Divide 378/60 and the quotient is the number of hours while the remainder is the minutes.  In  this case, it is 6 hours and 18 minutes.  Please mark Brainliest!!!
5 0
3 years ago
Read 2 more answers
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