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Lady_Fox [76]
3 years ago
7

1. write an equation in point slope form that passes through the point (2,3) and slope of -4

Mathematics
1 answer:
Stella [2.4K]3 years ago
4 0
For number 1, The equation for point slope form is y-y1=m(x-x1). This is called point-slope form because it uses one point, and the lines slope. We plug in the slope for m, and the point for (x1, y1), and then we have our answer for number 1! This is y-3=-4(x-2), in point-slope form. Slope intercept form is different however, requiring the slope of the line, and it's intercept. It is in the form y = mx+b. In the scenario by inputting the variables we already have we can solve for b very quickly. Using our point and slope we get 3=-8+b, or b = 11. This means that the equation in point slope form is y=-4x+11.


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3 years ago
1. A company produces two types of nutritional supplements; Energize and Excel. Energize contains 26 mg of vitamin A, 42 mg of v
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Answer:

1)A) Minimize C = 40x + 100y.

2) d) 7x + 8y ≤ 190, 5x + 4y ≤ 22, x ≥ 0, y ≥ 0.

3) B) Min C = 295x + 416y; s.t 23x + 15y ≥ 154, 17x + 25y ≥ 140, x ≥ 0, y ≥ 0.

Step-by-step explanation:

1) Energize pills cost 40 cents each, while Excel pills cost 100 cents each. If x represent the energize pills and y represent the excel pills, the objective function would be:

minimize cost = cost of energize pill + cost of excel pill

Minimize cost = 40x + 100y

2) Let x = the number of mountain bikes they produce, and let y = the number of racing bikes they produce.

7 hours of assemble time to produce a mountain bike and 8 hours of assemble time to produce a racing bike. Since the company has at most 190 hours for assemble time, it can be represented as:

7x + 8y≤ 190

5 hours of mechanical tuning to produce a mountain bike and 4 hours of mechanical tuning to produce a racing bike. Since the company has at most 22 hours for mechanical tuning, it can be represented as:

5x + 4y ≤ 22

Also assemble time and mechanical time must be greater than 0, hence:

x ≥ 0, y ≥ 0

3) The fieldwork constraint can be represented as:

23x + 15y ≥ 154

The time to be spent at university research center can be represented as:

17x + 25y ≥ 140

Both fieldwork time and time spent at university research center mut be greater than 0, hence:

x ≥ 0, y≥ 0

The cost equation is:

Minimize cost = 295x + 416y

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Step-by-step explanation:

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18/27 is the fraction you just said it

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Read 2 more answers
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