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3 years ago

1. Which inequality is true?A.6 π > 18B.6 π < 18C.6 π = 18D.18 > 6 π

Mathematics

1 answer:

lilavasa [31]3 years ago

7 0

Answer:

Step-by-step explanation:

a is the answer ..........

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Solve 3x2 = −12x − 15. x = −4 ± 2i x = −4 ± i x = −2 ± 2i x = −2 ± i

diamong [38]

ANSWER

$x = - 2 \pm i$

EXPLANATION

We use the method of completing the squares.

The equation is
$3 {x}^{2} = - 12x - 15$

We rewrite the above equation to obtain;

$3 {x}^{2} + 12x = - 15$

We divide through by 3 to obtain;

${x}^{2} + 4x = - 5$

We add half the coefficient of
$x$

to both sides of the equation to get,

${x}^{2} + 4x + {2}^{2} = - 5 + {2}^{2}$

The right hand side is now a perfect square.

${(x + 2)}^{2} = - 1$

We now take square root of both sides to get;

$x + 2 = \pm \sqrt{ - 1}$

We add -2 to both sides,

$x = - 2 \pm \sqrt{ - 1}$

We simplify to obtain,

$x = - 2 \pm i$

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3 years ago

Six less than five times a number is three more than twice the number.

nignag [31]

Answer:

5x - 6 -3= 2x

Step-by-step explanation:

8 0

3 years ago

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Solve: 5x-4=6 please help meee

marta [7]

Answer:

x=2

Step-by-step explanation:

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3 years ago

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What is the circumference of a circle whose area is 121 pi square meters?

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I hope this helps you

5 0

3 years ago

Given the functions f(x) = 2x -1 and g(x) =

Novosadov [1.4K]

Answer:

Please check the explanation.

Step-by-step explanation:

Given

f(x) = 2x - 1

g(x) = 2 - x

f(x) + g(x) = (2x - 1) + (2 - x)

= 2x -1 + 2 - x

= x + 1

f(x) - g(x) = (2x - 1) - (2 - x)

= 2x - 1 - 2 + x

= 3x - 3

g(-5) - f(-5)

Putting x = -5 in g(x) = 2 - x

g(x) = 2 - x

g(-5) = 2 - (-5) = 2+5 = 7

Putting x = -5 in f(x) = 2x - 1

f(x) = 2x - 1

f(-5) = 2(-5) - 1

= -10 - 1

= -11

Thus,

g(-5) - f(-5) = 7 - (-11) = 7+11 = 18

f(x).g(x) = (2x - 1) (2 - x) = -2x² + 5x - 2

f(g(x)) = f(2-x)

= 2(2-x)-1

= 4-2x-1

= 3-2x

6 0

3 years ago

1. Which inequality is true?A.6 π > 18B.6 π < 18C.6 π = 18D.18 > 6 π​

1. Which inequality is true?A.6 π > 18B.6 π < 18C.6 π = 18D.18 > 6 π