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3 years ago

11

Evaluate: 2^-2 x (13x3)-5^3

2 answers:

Lapatulllka [165]3 years ago

6 0

2^-2 x (13x3)-5^3

1/ (2^2) * 39 - 125

1/4 *39 -125

39/4 -125

9 3/4 - 125

factor out -1

- (125-9 3/4)

borrow to subtract the fraction

- (124 4/4 - 9 3/4)

- (115 1/4)

-115 1/4

Rainbow [258]3 years ago

3 0

Answer:

-115.25

2^-2 x (13x3)-5^3

2^-2 x (39)- 5^3

2^-2 x (39)- 125

0.25 x (39) - 125

9.75 - 125

-115.25

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2 years ago

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jeyben [28]

Step-by-step explanation:

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2 years ago

Read 2 more answers

Solve equation, check for extraneous solutions

fiasKO [112]

Start with

$1=\dfrac{1}{n^2}+\dfrac{n^2-4n-5}{3n^2}$

We observe that both fractions are not defined if $n=0$ . So, we will assume $n \neq 0$ .

We multiply both numerator and denominator of the first fraction by 3 and we sum the two fractions:

$1=\dfrac{3}{3n^2}+\dfrac{n^2-4n-5}{3n^2} = \dfrac{n^2-4n-2}{3n^2}$

We multiply both sides by $3n^2$ :

$n^2-4n-2=3n^2$

We move everything to one side and solve the quadratic equation:

$2n^2+4n+2=0 \iff 2(n^2+2n+1)=0 \iff 2(n+1)^2=0 \iff n+1=0 \iff n=-1$

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3 years ago

Divide the polynomial x^3+x^2-2x+3 by (x-1)

Anni [7]

Answer:

x² + 2x + (3 / (x − 1))

Step-by-step explanation:

Start by setting up the division:

.........____________

x − 1 | x³ + x² − 2x + 3

Start with the first term, x³. Divided by x, that's x². So:

.........____x²______

x − 1 | x³ + x² − 2x + 3

Multiply x − 1 by x², subtract the result, and drop down the next term:

.........____x²______

x − 1 | x³ + x² − 2x + 3

.........-(x³ − x²)

...........----------

...................2x² − 2x

Repeat the process over again. First term is 2x². Divided by x is 2x. So:

.........____x² + 2x __

x − 1 | x³ + x² − 2x + 3

.........-(x³ − x²)

...........----------

...................2x² − 2x

Multiply, subtract the result, and drop down the next term:

.........____x² + 2x __

x − 1 | x³ + x² − 2x + 3

.........-(x³ − x²)

...........----------

...................2x² − 2x

.................-(2x² − 2x)

.................---------------

.....................................3

x doesn't divide into 3, so that's the remainder.

Therefore, the answer is:

x² + 2x + (3 / (x − 1))

8 0

2 years ago