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3 years ago

Whats the output when the input is 1234n and the output is 10 12 14 16.

Mathematics

1 answer:

Grace [21]3 years ago

4 0

Answer:

y=2x+8

Step-by-step explanation:

Alright so, to find the equation, we need to find the slope first. We can do that by turning the input and output into coordinates.

(1,10) and (2,12)

To find the slope, we do:

$\frac{12 - 10}{2 - 1}$

Which equals to 2

So right now we can say that the equation is:

y=2x+b

In order to find b, the constant, we just need to plug in the y values and x value of a coordinate:

10=2(1)+b

10=2+b

8=b

So now we can say that the equation is:

y=2x+8

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An animal feed to be mixed from soybean meal and oats must contain at least 168 lb of protein, 27 lb of fat, and 14 lb of minera

atroni [7]

Answer:

The animal farm should buy 1.775 bags of soybeans and 1.575 bags of oats

$Cost = 51.275$

Step-by-step explanation:

The given parameters can be summarized as:

$\begin{array}{cccc}{} & {x} & {y} & {Total} & {Protein} & {70} & {21} & {168} &{Fats}& {9} & {7} & {27} & {Minerals} & {7} & {1} & {14}& {Cost} & {21} & {7} & {} \ \end{array}$

Where: x = Soybeans and y = Oats.

So, the system of equations are:

$70x + 21y = 168$

$9x +7y = 27$

$7x + y = 14$

$Cost = 21x + 7y$

The best way to solve this, is using graph

Plot the following equations on a graph, and get the points of intersection:

$70x + 21y = 168$

$9x +7y = 27$

$7x + y = 14$

From the attached graph, we have:

$(x_1,y_1) = (1.636,2.545)$

$(x_2,y_2) = (1.775,1.575)$

$(x_3,y_3) = (2.023,1.256)$

Substitute each of the values of x's and y's in the cost function to get the minimum cost:

$Cost = 21x + 7y$

$(x_1,y_1) = (1.636,2.545)$

$Cost = 21 * 1.636 + 7 * 2.545$

$Cost = 52.171$

$(x_2,y_2) = (1.775,1.575)$

$Cost = 21 * 1.775 + 7 * 1.575$

$Cost = 48.3$

$(x_3,y_3) = (2.023,1.256)$

$Cost = 21 * 2.023 + 7 * 1.256$

$Cost = 51.275$

The values of x and y that gives the minimum cost is:

$(x_2,y_2) = (1.775,1.575)$

and the minimum cost is:

$Cost = 48.3$

Hence, the animal farm should buy 1.775 bags of soybeans and 1.575 bags of oats

5 0

3 years ago

The valley school printed 385 tickets for the school play in spring 3/5 of the tickets were sold out by January how many tickets

morpeh [17]

154 tickets remain to be sold

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3 years ago

There are 64 cookies in a jar. The probability of randomly choosing oatmeal cookies from the jar is 37.5%. How many of the cooki

Rufina [12.5K]

Answer:

the number of cookies that are oatmeal cookies is 24

Step-by-step explanation:

Given that

There are 64 cookies in a jar

And, the probability of randomly selecting the oatmeal cookies is 37.5%

We need to find out the number of cookies that are oatmeal cookies

So, the number of cookies that are oatmeal cookies are

= 64 cookies × 37.50%

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hence, the number of cookies that are oatmeal cookies is 24

6 0

2 years ago

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Vinil7 [7]

Answer:

a. att.

b. cont.

c. att.

d. dis.

e. cont.

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Step-by-step explanation:

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6 0

3 years ago

How can I solve 3x+6y=19? I need help!

const2013 [10]

You bring the numerals on to the other side of the equation, therefore dividing 19 by 3 and 6.
3x + 6y = 19
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x + y = 3.17/3
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7 0

3 years ago