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3 years ago

X 2 −3x−10=x, squared, minus, 3, x, minus, 10, equals

Mathematics

1 answer:

Andreyy893 years ago

5 0

Step-by-step explanation:

my brain couldn't comprehend can u write it down for me real quick like the way it's supposed to be written please

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4 hundreds 6 hundredths - 3 hundredths <br> help

Tresset [83]

Answer:

7 hundredths

Step-by-step explanation:

add 4 to 6 and take away 3

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3 years ago

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What is the expression l x w represent

zzz [600]

Im pretty sure it is length times width :)

4 0

3 years ago

Find the area. The figure is not drawn to scale.

ELEN [110]

area of a triangle is 1/2 x base x height

base = 19

height = 3

19 *3 = 57

1/2 x 57 = 28.5 square ft.

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3 years ago

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You are paid 1.5 times your normal hourly rate for each hour you work over 30 hours in a week. You work 34 hours this week and e

natulia [17]

Answer: $15.94

Step-by-step explanation:

Let r be your rate you get paid per hour normally. Let's set up this equation.

(30 * r) + 4(1.5 * r) = 573.83

30r + 6r = 573.83

36r = 573.83

r = 15.94 (rounded)

You get paid $15.94 hourly.

8 0

2 years ago

Find a compact form for generating functions of the sequence 1, 8,27,... , k^3

pantera1 [17]

This sequence has generating function

$F(x)=\displaystyle\sum_{k\ge0}k^3x^k$

(if we include $k=0$ for a moment)

Recall that for $|x|$ , we have

$\displaystyle\frac1{1-x}=\sum_{k\ge0}x^k$

Take the derivative to get

$\displaystyle\frac1{(1-x)^2}=\sum_{k\ge0}kx^{k-1}=\frac1x\sum_{k\ge0}kx^k$

$\implies\dfrac x{(1-x)^2}=\displaystyle\sum_{k\ge0}kx^k$

Take the derivative again:

$\displaystyle\frac{(1-x)^2+2x(1-x)}{(1-x)^4}=\sum_{k\ge0}k^2x^{k-1}=\frac1x\sum_{k\ge0}k^2x^k$

$\implies\displaystyle\frac{x+x^2}{(1-x)^3}=\sum_{k\ge0}k^2x^k$

Take the derivative one more time:

$\displaystyle\frac{(1+2x)(1-x)^3+3(x+x^2)(1-x)^2}{(1-x)^6}=\sum_{k\ge0}k^3x^{k-1}=\frac1x\sum_{k\ge0}k^3x^k$

$\implies\displaystyle\frac{x+4x^3+x^3}{(1-x)^4}=\sum_{k\ge0}k^3x^k$

so we have

$\boxed{F(x)=\dfrac{x+4x^3+x^3}{(1-x)^4}}$

5 0

4 years ago