HELP PLEASEE Multiply negative 1 over 6 multiplied by negative 1 over 5

Mathematics

1 answer:

navik [9.2K]2 years ago

8 0

Negative 1 over 11
negative 1 over 30
1 over 30
1 over 11
-1/6*-1/5 = 1/30

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Given f (x ) = x^2 + 3x + 2 and g (x ) = x + 1, perform the indicated operations.

Nana76 [90]

Answer:

(i) (f - g)(x) = x² + 2·x + 1

(ii) (f + g)(x) = x² + 4·x + 3

(iii) (f·g)(x) = x³ + 4·x² + 5·x + 2

Step-by-step explanation:

The given functions are;

f(x) = x² + 3·x + 2

g(x) = x + 1

(i) (f - g)(x) = f(x) - g(x)

∴ (f - g)(x) = x² + 3·x + 2 - (x + 1) = x² + 3·x + 2 - x - 1 = x² + 2·x + 1

(f - g)(x) = x² + 2·x + 1

(ii) (f + g)(x) = f(x) + g(x)

∴ (f + g)(x) = x² + 3·x + 2 + (x + 1) = x² + 3·x + 2 + x + 1 = x² + 4·x + 3

(f + g)(x) = x² + 4·x + 3

(iii) (f·g)(x) = f(x) × g(x)

∴ (f·g)(x) = (x² + 3·x + 2) × (x + 1) = x³ + 3·x² + 2·x + x² + 3·x + 2 = x³ + 4·x² + 5·x + 2

(f·g)(x) = x³ + 4·x² + 5·x + 2

7 0

3 years ago

use slope to determain weather or not quadrilateral ABCD with A(3, 1) B(6, -1) C(1, -3) and D(-2, -1), is a parallelogram

Ksivusya [100]

Answer:

Step-by-step explanation:

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2 years ago

What is the measure of angle J in the triangle below? A. 99 B. 42 C. 9 D. 48

Leya [2.2K]

For this use the law of sines:
$\sin( \alpha ) \div a = \sin( \beta ) \div b \\ \sin( \alpha ) \div 11 = \sin(103) \div 16$
$\frac{ \sin( \alpha ) }{11} = \frac{0.97}{16}$
cross-multiply:
16×sin (J) = 11×0.97
sin(J) = 10.72/16
sin(J) = 0.67
hit the "arcsin" button on your calculator:
${ \sin}^{ - 1} (0.67) = 42.06 = 42.1 \: deg$
therefore answer B. 42 is the correct answer!!

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2 years ago

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Nadusha1986 [10]

Aplicando la función, los valores numéricos son :

$f(5) = -11$