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3 years ago

Please explain how to check the solution for y=x-3

Mathematics

1 answer:

adell [148]3 years ago

4 0

Answer:

Just put it in the format and you will eventually find it.

Step-by-step explanation:

Hope this helps.

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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

Determine the slope of the line that passes through the points (-4, 6) and (0,4).

gavmur [86]

Answer:

B.) $m=-\frac{1}{2}$

Step-by-step explanation:

use the slope rule

$\frac{rise}{run} \\\\\\frac{y2-y1}{x2-x1}$

Fill in values

$\frac{4-6}{0-(-4)}$

Simplify

$\frac{-2}{4}\\-\frac{2}{4}$

Simplify further

$m=-\frac{1}{2}$

Done.

3 0

3 years ago

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An apple has a mass of 150g and a volume of 100cm cubed find its density

BartSMP [9]

Divide <span>150:100 to find out what the density in g/cm3 is. So 150:100 = 1.5 g/cm3</span>

8 0

3 years ago

in 1996,Donovan Bailey of Canada ran the 100 meter dash in 9.84 seconds.How fastis that to the nearst second?to the nearst tenth

Fofino [41]

I think that you round to 9.80 seconds. Pardon me, I didn't understand the problem well

7 0

3 years ago

In a certain Algebra 2 class of 27 students, 5 of them play basketball and 12 of them play baseball. There are 2 students who pl

drek231 [11]

Answer:

$p= \frac{22}{27} =0.814 = 81.4%$

Step-by-step explanation:

8 0

3 years ago

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