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4 years ago

A number raised to a negative exponent is negative. always never sometimes

Mathematics

2 answers:

Romashka [77]4 years ago

8 0

It is negative only when the number itself is negative.
hence, sometimes.

FromTheMoon [43]4 years ago

8 0

Dividing negative exponents is almost the same as multiplying them, except you're doing the opposite: subtracting where you would have added and dividing where you would have multiplied. If the bases are the same, subtract the exponents. Remember to flip the exponent and make it positive, if needed.

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<img src="https://tex.z-dn.net/?f=%5Cfrac%7B2x%7D%7Bx%2B1%7D%20%2B%5Cfrac%7B3%28x-1%29%7D%7Bx%7D%20%3D5" id="TexFormula1" title=

Luden [163]

Answer:

$x=-3$

Step-by-step explanation:

Given equation:

$\dfrac{2x}{x+1}+\dfrac{3(x+1)}{x}=5$

Make the denominators the same:

$\implies \dfrac{2x}{x+1} \cdot\dfrac{x}{x}+\dfrac{3(x+1)}{x} \cdot \dfrac{x+1}{x+1}=5$

$\implies \dfrac{2x^2}{x(x+1)}+\dfrac{3(x+1)^2}{x(x+1)} =5$

Combine the fractions:

$\implies \dfrac{2x^2+3(x+1)^2}{x(x+1)} =5$

Multiply both sides by x(x+1):

$\implies 2x^2+3(x+1)^2 =5x(x+1)$

Expand the brackets:

$\implies 2x^2+3(x^2+2x+1) =5x^2+5x$

$\implies 2x^2+3x^2+6x+3 =5x^2+5x$

Combine like terms:

$\implies 5x^2+6x+3=5x^2+5x$

Subtract 5x² from both sides:

$\implies 6x+3=5x$

Subtract 5x from both sides:

$\implies x+3=0$

Subtract 3 from both sides:

$\implies x=-3$

Learn more about algebraic fractions here:

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5 0

2 years ago

A university class has 29 students: 11 are nursing majors, 9 are psychology majors, and 9 are art majors. The professor is plann

babymother [125]

Answer:

0.089

Step-by-step explanation:

Since there are 9 art majors, the probability of the first student being chosen is 9 out of the 29 students total. The second student is being chosen from a sample of 28 students and 8 art majors.

9/29=.31

8/28= .286

.31 x .286=0.089

3 0

3 years ago

Pause

Licemer1 [7]

Answer:

b $.05

Step-by-step explanation:

5 lbs is .80 and 8 lb is .75 so a 5 cent difference per lb

7 0

3 years ago

What is the value of the 1 in 9.154

Andrej [43]

What is the value of 1 in 9.54, The value of the one is 1 tenth its in the tenths spot

5 0

4 years ago

the area of a square given x2 where is the length of one side. evaluate the expression if the side is 8 feet

Ahat [919]

Area of a square=x^2
where x=1 side
if x=8 then
8^2=8 times 8=64

answer is 64 square feet

6 0

4 years ago