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3 years ago

Please help on this

Mathematics

1 answer:

satela [25.4K]3 years ago

5 0

Answer:

Step-by-step explanation:

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hope this helped

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A farmer can buy two types of plant food, mix A and mix B. Each cubic yard of mix A contains 35 pounds of phosphoric acid, 15

Nadusha1986 [10]

Answer:

The answer is below

Step-by-step explanation:

Given that the minimum monthly requirements are 840 pounds of phosphoric acid, hence:

35 pounds of phosphoric acid mix A + 14 pounds of phosphoric acid mix B ≥ 840 pounds of phosphoric acid

35x + 14y ≥ 840

The minimum monthly requirements are 540 pounds of nitrogen, hence:

15 pounds of nitrogen mix A + 18 pounds of nitrogen mix B ≥ 540 pounds of nitrogen

15x + 18y ≥ 540

The minimum monthly requirements are 768 pounds of potash, hence:

16 pounds of potash mix A + 64 pounds of potash mix B ≥ 768 pounds of potash

16x + 64y ≥ 768

Also, x ≥ 0 and y ≥0.

Therefore the equations are:

35x + 14y ≥ 840

15x + 18y ≥ 540

16x + 64y ≥ 768

x ≥ 0 and y ≥ 0

Plotting with geogebra gives the graph below.

The point are (0,60), (48,0), (18,15), (32,4)

7 0

3 years ago

Find a closed form for the generating function for each of these sequences. (assume a general form for the terms of the sequence

noname [10]

There really is no single "obvious" choice here...

Possibly the sequence is periodic, with seven copies of -1 followed by six copies of 0, or perhaps seven -1s and seven 0s. Or maybe seven -1s, followed by six 0s, then five 1s, and so on, but after a certain point it would seem we have to have negative copies of a number, which is meaningless.

Or maybe it's not periodic, and every seventh value in the sequence is incremented by 1? Who knows?

I'll go ahead and assume the latter case, that the sequence is not periodic, since that's technically somewhat easier to manage. We can assign the following rule to the $n$ -th term in the sequence:

$\{a_n\}=\{-1,\ldots,-1,0,\ldots,0,1,\ldots,1,2,\ldots,2,3,\ldots\}$
$\implies a_n=\left\lfloor\dfrac n7\right\rfloor-1$

for $n\ge0$ .

So the generating function for this sequence might be

$G(a_n;x)=\displaystyle\sum_{n\ge0}\left(\left\lfloor\frac n7\right\rfloor-1\right)x^n$

As to what is meant by "closed form", I'm not sure. Would this answer be acceptable? Or do you need to find a possibly more tractable form for the coefficient not in terms of the floor function?

4 0

3 years ago

While playing a video game Ruth earned 5 base points,b, 9 bonus points,x, and 4 advanced points, a. Write an algebraic expressio

Musya8 [376]

b + x + a

Hope it helps you.

7 0

3 years ago

HELP NEEDED ASAP!!! PLEEEEASE HELP!!!

olganol [36]

Answer:

Step-by-step explanation:

what is the smallest number which is a multiple of both 8 and 12? so, an multiple of 8 must have 2 as a factor at least 3 times. Similarly, multiples of 12 have at least two 2's and one 3. so we need 2x2x2x3 or 24 if every factor is to be included.

I'm not the best at explaining but you can search google to get the better Idea.

(btw this is for the fist question)

6 0

3 years ago

Help me with this and I'll mark you as Brain

SSSSS [86.1K]

Answer:

a) x^3y2

b) 6x^2y^3

Step-by-step explanation:

3 0

4 years ago

Read 2 more answers