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4 years ago

Factor -7x^3+21x^2+3x-9 by grouping. what is the resulting expression?

Mathematics

1 answer:

Daniel [21]4 years ago

8 0

Answer:

c) (3-7x^2)(x-3)

Step-by-step explanation:

-7x^3+21x^2+3x-9

Factor out a -7x^2 from the first two terms and a 3 from the last two terms

-7x^2 (x -3) +3(x-3)

Now factor out (x-3)

(x-3) (-7x^2+3)

Rearranging)

(x-3) (3-7x^2)

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Calculate the shaded area

Anton [14]

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Find Radius :
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Radius of the semicircle = 10 ÷ 2 = 5cm

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Find Area of the semi circle :
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Area of the semi circle = 1/2 πr²
Area of the semi circle = 1/2 x π x (5)²
Area of the semi circle = 12.5π cm²

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Find Radius :
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Radius of the inner circle = 5 ÷ 2 = 2.5 cm

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Find area of inner circle :
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Area of the inner circle = πr²
Area of the inner circle = π x (2.5)²
Area of the inner circle = 6.25π

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Area of the shaded region :
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Area of the shaded region = 12.5π - 6.25π
Area of the shaded region = 6.25π
Area of the shaded region = 19.63 cm²

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Answer: Area of the shaded region = 19.63 cm²
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7 0

4 years ago

How many permutations are possible for 13 objects taken 6 at a time?

Anarel [89]

Answer:

1,235,520

Step-by-step explanation:

13P6 = 13!/(13-6)! = 13·12·11·10·9·8 = 1,235,520

There are 13 ways to choose the first object, 12 ways to choose the second, 11 ways to choose the third, and so on. The 6th object can be chosen 8 ways.

The total number of permutations is the product of all these ways:

13·12·11·10·9·8 = 1,235,520

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3 years ago

Lorenzo tiene 4 cajas de huevo, cada uno con 50 huevos y 3 cartones del mismo producto con 10 de ellos ¿Cuántos huevos hay en to

Bogdan [553]

Responder:

240 huevos

Explicación paso a paso:

Número de cajas de huevos = 4

Huevos por caja = 50

Total de huevos en caja = 50 * 4 = 200 huevos

Número de cajas = 3

Número de huevos por caja = 10

Total de huevos en caja = 10 * 4 = 40 huevos

Huevos totales = (huevos en caja + huevos en cartón)

Total = (200 + 40) = 240 huevos

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3 years ago

You roll a fair six-sided die twice. Find the probability of rolling a 2 the first time and a number greater than 6 the second t

borishaifa [10]

Answer:

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