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Semmy [17]
3 years ago
9

Write the equation of the line thay passes through the point (2,-1) and has a slope of -3​

Mathematics
1 answer:
disa [49]3 years ago
3 0

Answer:

Y = -3x - 1

Step-by-step explanation:

Y= mx + b

M is the slope

Y is the y intercept

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I have corner points of:
WARRIOR [948]
The points you found are the vertices of the feasible region. I agree with the first three points you got. However, the last point should be (25/11, 35/11). This point is at the of the intersection of the two lines 8x-y = 15 and 3x+y = 10

So the four vertex points are:
(1,9)
(1,7)
(3,9)
(25/11, 35/11)

Plug each of those points, one at a time, into the objective function z = 7x+2y. The goal is to find the largest value of z

------------------

Plug in (x,y) = (1,9)
z = 7x+2y
z = 7(1)+2(9)
z = 7+18
z = 25
We'll use this value later. 
So let's call it A. Let A = 25

Plug in (x,y) = (1,7)
z = 7x+2y
z = 7(1)+2(7)
z = 7+14
z = 21
Call this value B = 21 so we can refer to it later

Plug in (x,y) = (3,9)
z = 7x+2y
z = 7(3)+2(9)
z = 21+18
z = 39
Let C = 39 so we can use it later

Finally, plug in (x,y) = (25/11, 35/11)
z = 7x+2y
z = 7(25/11)+2(35/11)
z = 175/11 + 70/11
z = 245/11
z = 22.2727 which is approximate
Let D = 22.2727

------------------

In summary, we found
A = 25
B = 21
C = 39
D = 22.2727

The value C = 39 is the largest of the four results. This value corresponded to (x,y) = (3,9)

Therefore the max value of z is z = 39 and it happens when (x,y) = (3,9)

------------------

Final Answer: 39

7 0
3 years ago
Which of the following is a unit of density?
strojnjashka [21]
Kilograms per cubic centimeter
4 0
3 years ago
Read 2 more answers
Your deck is 3 2/3 feet off
Irina-Kira [14]

Your deck is bigger because it’s 3 and 2/3 and your neighbor is 3 and 8/9 your deck is bigger because 2/3 are bigger then 8/9

6 0
2 years ago
Read 2 more answers
Original price:$30; markdown:33%
Travka [436]
30 x 0.33 = 9.90 And that's the answer
3 0
3 years ago
Evaluate 3C1.<br><br> a)3<br> b)1<br> c)2<br> d)6
murzikaleks [220]

Answer: Option a) 3

Step-by-step explanation:

The formula for calculating combinations is as follows

nCr = \frac{n!}{r!(n-r)!}

Where "n" is the amount of items in a set and you can choose "r" from them

3C1 reads as: The combination of 1 in 3. You have a set of 3 elements and choose 1 of them.

n = 3\\\\r = 1

So :

3C1=\frac{3!}{1!(3-1)!}\\\\3C1=\frac{3!}{1!*2!}\\\\3C1=\frac{3*2*1}{1*2*1}\\\\3C1=3

5 0
2 years ago
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