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3 years ago

Simplify (2x + 3) (3x^2 + x + 1)

Mathematics

1 answer:

galina1969 [7]3 years ago

5 0

Answer:

6x^3 + 8x + 9x^2 + 3

Step-by-step explanation:

(2x + 3) (3x^2 + x + 1)

6x^3 + 3x + 2x + 9x^2 + 3x +3

6x^3 + 5x + 3x + 9x^2 + 3

6x^3 + 8x + 9x^2 + 3

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Answer:

3.14

Step-by-step explanation:

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3 years ago

How do you solve 3^(4x) = 3^(5-x)?

trasher [3.6K]

3^(4x) = 3^(5 - x)
4x = 5 - x
4x + x = 5
5x = 5
x = 5/5 = 1
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3 years ago

What two numbers multiply to 54 and add up to 7

k0ka [10]

Xy = 54
x + y = 7

$xy = 54$
$\frac{xy}{x} = \frac{54}{x}$
$y = \frac{54}{x}$

$x + y = 7$
$x + \frac{54}{x} = 7$
$\frac{x^{2}}{x} + \frac{54}{x} = 7$
$\frac{x^{2} + 54}{x} = 7$
$x^{2} + 54 = 7x$
$x^{2} - 7x + 54 = 0$
$x = \frac{-(-7) \± \sqrt{(-7)^{2} - 4(1)(54)}}{2(1)}$
$x = \frac{7 \± \sqrt{49 - 216}}{2}$
$x = \frac{7 \± \sqrt{-167}}{2}$
$x = \frac{7 \± i\sqrt{167}}{2}$
$x = \frac{7 \± 12.9i}{2}$
$x = 3.5 \± 6.45i$
$x = 3.5 + 6.45i$ $or$ $3.5 - 6.45i$

x + y = 7
3.5 + 6.45i + y = 7
- (3.5 + 6.45i) - (3.5 + 6.45i)
y = 3.5 - 6.45i
  (x, y) = (3.5 + 6.45i, (3.5 - 6.45i)

  or

  x + y = 7
3.5 - 6.45i + y = 7
- (3.5 - 6.45i)   - (3.5 - 6.45i)
y = 3.5 + 6.45i
(x, y) = (3.5 - 6.45i, 3.5 + 6.45i)

The two numbers that add up to 7 and can multiply to 54 is 3.5 ± 6.45i.

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3 years ago

What is the slope of the line?

Nuetrik [128]

Answer:

y = 0.25x + 1.5

Step-by-step explanation:

its starts at 1.5 on the y-axis

goes up 0.25 units

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3 years ago

Find two consecutive odd integers such that 62 more than the lesser is five times the greater.

lidiya [134]

Idk really know srry

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