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Gemiola [76]
4 years ago
7

Find the values of x and y that maximizes the objective function P=3X+2Y for the graph. what is the maximum value?

Mathematics
1 answer:
diamong [38]4 years ago
7 0
Substitute in the 3 points to find the values. 

<span>P(0,8) = 3(0) + 2(8) = 16 </span>
<span>P(5,4) = 3(5) + 2(4) = 15 + 8 = 23 </span>
<span>P(9,0) = 3(9) + 2(0) = 27 </span>

<span>Therefore (9,0) is the maximum value. </span>
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I NEED HELP PLEASE, THANK YOU!
bixtya [17]

Answer:

\sqrt{37}

Step-by-step explanation:

To find the distance between a point (m, n ) and the line

Ax + By + C = 0

d = \frac{|Am +Bn+C|}{\sqrt{A^2+B^2} }

Here (m, n) = (6, 2) and rearranging the line

6x - y + 3 = 0 ← in general form

with A = 6, B = - 1 and C = 3 , then

d = \frac{|6(6)-1(2)+3|}{\sqrt{6^2+(-1)^2} }

   = \frac{|36-2+3|}{\sqrt{36+1} }

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Rationalise the denominator by multiplying numerator/ denominator by \sqrt{37}

= \frac{37}{\sqrt{37} } × \frac{\sqrt{37} }{\sqrt{37} }

=\frac{37\sqrt{37} }{37} ← cancel 37 on numerator/ denominator

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5 0
3 years ago
Read 2 more answers
Apply the distributive property using the greatest common factor to write an equivalent expression. Enter your answers in the bo
Lilit [14]

Solution:

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= 0.81

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The Equivalent of product of 0.3 × 2.7 are

1.→0.9 × 0.9

2.→→ 3 × 0.27

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3 years ago
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Oksanka [162]
Log(ab)=log(a)+log(b)
log_a(a)=1
so

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6 0
3 years ago
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