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3 years ago

Jamie ordered 24 combo meals for $5 each for a party. The service charge for home delivery for the whole purchase was $6.

1 answer:

7 0

It's easy you do 24 times 5 and then find out the service charge by dividing ratios between the meal and parties and then add 6$ to your total!

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Can someone help me with this worksheet? I'm trying to check my daughter's work and I'm not sure how to do this. Showing the wor

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3 years ago

1. A pyramid with a square base has fixed volume. The height, t, varies inversely as the

Natali [406]

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Step-by-step explanation:

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3 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

3 years ago

Factor:<br> 16g^2-26gh-35h^2

Sever21 [200]

Answer:

The factored form would be (8g + 7h)(2g - 5h)

Step-by-step explanation:

In order to find this, we need to use factors of 16g^2 in the front of the parenthesis. We also need to use factors of -35h^2 in the second side. Now we try these in the parenthesis and FOIL until we get an appropriate middle term.

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3 years ago

Ariana builds wooden furniture in her wood shop. Her most popular product is an oak glider. There is a proportional relationship

sesenic [268]

10 days - 5 days = 5 days.

6 gliders - 3 gliders = 3 gliders.

They make 3 gliders in 5 days: 3/5 = 0.6 gliders per day.

y = 0.6x

The answer is A.

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3 years ago