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1 year ago

Please answer asap! show work! 11. What is (f.g)(x)? f(x) = x3 +3 g(x) = 2x2 + x - 1

Mathematics

1 answer:

Ksenya-84 [330]1 year ago

6 0

Answer:

2x⁵ + x⁴ - x³ + 6x² + 3x - 3

Step-by-step explanation:

Given :

f(x) = x³ + 3
g(x) = 2x² + x - 1

Finding (f × g)(x) :

f(x) × g(x)
(x³ + 3)(2x² + x - 1)
2x⁵ + 6x² + x⁴ + 3x - x³ - 3
2x⁵ + x⁴ - x³ + 6x² + 3x - 3

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Write 14/√2 + √50 in the form b√2 where b is an integer.

kifflom [539]

Answer:

$12 \sqrt{2}$

Step-by-step explanation:

Taking the terms one at a time,

$\frac{14}{ \sqrt{2} } \\ \frac{14 * \sqrt{2} }{ \sqrt{2} * \sqrt{2} } \\ \frac{14 \sqrt{2} }{2} \\ 7 \sqrt{2}$

$\sqrt{50} \\ \sqrt{25 * 2} \\ \sqrt{25}* \sqrt{2} \\ 5 * \sqrt{2} \\ 5 \sqrt{2}$

Adding the terms, you have;

$7 \sqrt{2} + 5 \sqrt{2} =(7 + 5) \sqrt{2} = 12 \sqrt{2}$

Hope it helps!

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2 years ago

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5•1000000 is how many times as large as 5•10000

gizmo_the_mogwai [7]

Answer:

100 times

Step-by-step explanation:

5•1000000 has 2 more zeros than 5•10000 so that means the first number is 100 times larger than the second number! hope this helps and please mark as brainiest

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2 years ago

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Point f lies between points g and m. gf =12x+4, fm=16 and gm =16x what is the value of x

Flura [38]

$\underset{\leftarrow \qquad \text{\LARGE 16x}\qquad \to }{\stackrel{12x + 4}{G\rule[0.35em]{10em}{0.25pt}} F\stackrel{16}{\rule[0.35em]{16em}{0.25pt}M}} \\\\\\ \stackrel{GF}{12x+4} ~~ + ~~ \stackrel{FM}{16} ~~ = ~~ \stackrel{GM }{16x}\qquad \implies 12x+20=16x \\\\\\ 20=4x\implies \cfrac{20}{4}=x\implies 5=x$

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1 year ago

Bill needs to build a rectangular sheep pen

Ymorist [56]

Perimeter = 24m

Cost of half metre(1/2m) = €1.20

Cost of one metre = €2.40

Cost of fencing = 24 × 2.40 = €57.60

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3 years ago

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Find the coordinates of the points of intersection of the graph of y=13−x with the axes and compute the area of the right triang

Ymorist [56]

the coordinates of the points of intersection of the graph of y=13−x with the axes

Given equation is y=13-x

x axis is x=0

y axis is y=0

Plug in the value of x =0 and find out y

y = 13 - x

y = 13 - 0 = 13

Plug in the value of y=0 and find out x

0 = 13 - x

x= 13

So coordinate axis

x= (13,0)

y= (0,13)

Base of the triangle is x=13

Height of the triangle is y= 13

Area of the triangle = $\frac{1}{2} * base * height$

= $\frac{1}{2} * 13 * 13$ = 84.5

Area of the triangle = 84.5

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2 years ago