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irina [24]
3 years ago
12

Simplify the following expression and state the excluded values m+7/m^2+4m-21

Mathematics
2 answers:
insens350 [35]3 years ago
7 0
Answer:     1 / (m−3) ;  m ≠ -3, 7 .
_____________________________________
Explanation:
________________________________________
Given:
________________________________________
<span>(m+7) / (m</span>² <span>+ 4m</span> − 21) ; Simplify the expression ;
____________________________________________
In the "denominator" :  " m² + 4m − 21 "  ; see if we can factor out an 
  "(m+7)" which is in the 'numerator' ;
________________________________________
        m² + 4m − 21 = (m+7) (m−3) ;  Yes!
___________________________________________
So, rewrite the original problem as:
___________________________________________
       (m+7) / [(m+7)(m−3)] ; and the "(m−7)" in both the numerator AND the denominator "cancel out" to "1";  since anything divided by that same number equals "1" ;
___________________________________________

So we rewrite the expression:
__________________________________________
   1 / (m−3) ; m ≠ -3, 7 .
_____________________________________________

erastova [34]3 years ago
4 0
5m-14/(m+1)(m-1)

excluded values: 1,-1
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A scuba diver dove 40 feet below the surface. He swam up 12 feet to see a unique fish. He followed the fish down 8 feet. Then he
Ber [7]

Answer: 9 feet below the surface.

Step-by-step explanation:

The scuba diver starts 40 ft below the surface. We can represent the position of the scuba diver as:

Position = -40ft

Where the negative sign is because it is below the surface of the water, so

"He swam up 12 feet to see a unique fish."

Now we need to add 12ft

Then his new position is:

Position = -40ft + 12 ft = -28ft

"He followed the fish down 8 feet.

Now we need to subtract 8ft

His new position is:

Position = -28ft - 8 ft = -36 ft

"Then he followed the fish up 27 feet."

Now we add another 27 ft.

The final position will be:

Position = -36ft + 27ft = -9ft

Then the final position of the scuba diver is -9ft, that means that he is 9 feet below the surface.

6 0
2 years ago
What is the equation of the line that passes through (-3,-1) and has a slope of 3/5 in slope intercept?
andrew-mc [135]
Answer is Y=3/5x + 4/5
3 0
3 years ago
if the net from the two triangles are the right triangles all quadrilaterals what is its surface area in square units?
erica [24]

Step-by-step explanation:

The total surface area is 168 square units.

8 0
3 years ago
Please help
bonufazy [111]

Answer:

1. 50 is 20% of 250

Step-by-step explanation:

In order to find any of these, use the equation.

Number/Out of = %

Then plug in the values

50/x = .20

Then solve by cross multiplying

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4 0
3 years ago
Solve the system of equations 2 + 2y = -20 and x + 3y = -27 by combining the<br> equations.
AlexFokin [52]

Answer:

no estoy segura como se debe responder

1 (x + 2y = -20) ----> x*2y= -20

-1 (x + 3y = -27) ----> x-3y= 27

          (0) x + (-1) y = 7

7 0
3 years ago
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