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3 years ago

Express (x – 1)(x + 2)(2x + 2) in standard form

Mathematics

1 answer:

notsponge [240]3 years ago

7 0

Answer:

2x³ + 4x² - 2x - 4

Step-by-step explanation:

Expand the first pair of factors then multiply by (2x + 2)

= (x² + x - 2)(2x + 2) → distribute terms

= x²(2x + 2) + x(2x + 2) - 2(2x + 2)

= 2x³ + 2x² + 2x² + 2x - 4x - 4 ( collect like terms )

= 2x³ + 4x² - 2x - 4 ← in standard form

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How to solve 6x - 9 - 2 (1 - x) = x + 9

Likurg_2 [28]

$x = 2.857$

$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}$

$6x - 9 - 2(1 - x) = x + 9 \\ ⇢ 6x - 9 - 2 + 2x = x + 9 \\ ⇢ 8x - x = 9 + 11 \\ ⇢ 7x = 20 \\ ⇢ x = \frac{20}{7} \\ ⇢ x = 2.857$

${ \bf{ \underbrace{To\:verify:}}}$

$6 \times 2.857 - 9 - 2(1 - 2.857) = 2.857 + 9 \\ ➪ \: 17.142 - 9 - 2 \times( - 1.857) = 11.857 \\➪ \: 8.142 + 3.714 = 11.857 \\➪ \: 11.856 = 11.857 \\ ➪ \: 11.86 = 11.86 \\ ➪ L.H.S.=R. H. S$

Hence verified.

$\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}$

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3 years ago

What is the inverse function of f(x)= 4- x/6

Westkost [7]

Answer:

$f^{-1}(x) = 6(4-x) = 24-6x$

Step-by-step explanation:

Let $y=f(x)$ and swap x and y:

$x = 4 - \frac{y}{6}$

Then, rearranging for y:

$x+\frac{y}{6} = 4$

$\frac{y}{6}= 4-x$

$y= 6(4-x) = 24-6x$

6 0

3 years ago

Help with my math READ IT CARFULLY

Irina-Kira [14]

Sci = π . 2 . 2 = 12,56 ⇒ 1/2 Sc1 = 1/2 . 12,56 = 6,28

Srec = 6 . 4 = 24

S= 6,28 + 24 = 30,28

the answer is 30,28

ok done. Thank to me :>

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a_sh-v [17]

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