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3 years ago

Cual es el resultado de factorizar la expresion (-x⁴+ 25x²)

Mathematics

1 answer:

Fittoniya [83]3 years ago

4 0

Al factorizar la expresión dada obtenemos que es igual a x²*(5 - x)*(5 + 5)

Por propiedad de los números reales: tenemos que para a y b dos números reales, se cumple que:

(a² - b²) = (a + b)*(a - b)

Por lo tanto como tenemos: - x⁴ + 25x², ordenamos:

- x⁴ + 25x² = (25*x² - x⁴ = ((5x)² - (x²)²)

Usando la propiedad dada inicialmente: obtenemos que:

((5x)² - (x²)²) = (5x - x²)*(5x + x²)

Sacamos de cada término un factor común "x":

x*(5 - x)*x*(5 + x) = x²*(5 - x)*(5 + 5)

Puedes visitar: brainly.lat/tarea/12523641

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Solve 3 - x/2 > 15..

ruslelena [56]

Answer:

x ≥-24

Step-by-step explanation:

3 - x/2 ≥ 15

Subtract 3 from each side

3-3 - x/2 ≥ 15-3

-x/2 ≥12

Multiply by -2

-x/2 * -2 ≥12 *-2

x ≥-24

4 0

3 years ago

Read 2 more answers

The number of pages read by two students each day for 5 days are listed in the table. Which statements are true about the data s

monitta

Answer:

The means for both data sets are equal.
The range of the number of pages Lionel read is greater than the range of the number of pages Aaron read.
The range of the number of pages that Lionel read is 75.

Step-by-step explanation:

Given

Lionel

90, 45, 30, 25, 15

Aaron

55, 19, 40, 16, 75

in the first case; For Lionel;

Mean = (90+45+30+25+15 )/5 = 41 and

Range = (90-15)=75

The second case; Aaron

Mean = (55+19+40+16+75)/5 = 41 and

Range = (75-16)= 59

Therefore;

Both data sets have the same mean but different range.

The range of the number of pages Lionel is 75, which is greater than the range of the number of pages Aaron read, which is 59.

6 0

3 years ago

Read 2 more answers

in a company 75% of the workers are women. of 850 people work for the company who aren't women, how many workers are there in al

Nadya [2.5K]

There’s one method
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2 years ago

Using the sum of the angle measures of a triangle, m angleC=?

Vedmedyk [2.9K]

Answer:

m∠C = 66°

Step-by-step explanation:

Given

m∠ A = 33°

m∠ B = 81°

To determine

m∠C = ?

We know that sum of angles of a triangle is 180°.

so using the equation

m∠ A + m∠ B + m∠C = 180°

substituting m∠ A = 33°, and m∠ B = 81° in the equatio

33° + 81°+m∠C= 180°

114° + m∠C = 180°

m∠C = 180° - 114°

m∠C = 66°

Therefore,

m∠C = 66°

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2 years ago

If ln(4x+y)=2x-3,then dy/dx=

Viktor [21]

$\ln(4x+y)=2x-3$

Differentiate both sides wrt $x$ :

$\dfrac{\mathrm d(\ln(4x+y))}{\mathrm dx}=\dfrac{\mathrm d(2x-3)}{\mathrm dx}$

By the chain rule, we get

$\dfrac1{4x+y}\dfrac{\mathrm d(4x+y)}{\mathrm dx}=2$

$\dfrac{4+\frac{\mathrm dy}{\mathrm dx}}{4x+y}=2$

Solve for $\frac{\mathrm dy}{\mathrm dx}$ :

$4+\dfrac{\mathrm dy}{\mathrm dx}=8x+2y$

$\boxed{\dfrac{\mathrm dy}{\mathrm dx}=8x+2y-4}$

4 0

3 years ago