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3 years ago

Show the region which satisfies simultaneously the inequalities 2x+3y≤8, x-2y≥-3, x≥0, y≥0

Mathematics

1 answer:

Verizon [17]3 years ago

8 0

The first thing you should do is graph the following lines
2x + 3y = 8
x-2y = -3
x = 0
y = 0
After you have graphed them, you should proceed to evaluate points in the xy plane that meet the following restrictions:
2x + 3y≤8, x-2y≥-3, x≥0, y≥0
The resulting region is the region "R" shown in the attached graph.

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cupoosta [38]

First, some defintions
reciprocals are like a/b and b/a or 5/1 and 1/5

remember, $\frac{\frac{a}{b}}{\frac{c}{d}}=(\frac{a}{b})(\frac{d}{c})=\frac{ad}{bc}$

john's fraction is reciprocal of sarah's
john=a/b
sarah=b/a

david multiplies his by sarah and gets 12/35
(b/a)(david)=12/35

multplies his number by john and gets 12/35
(a/b)(david)=15/7

hmmm

(b/a)(david)=12/35 and
(a/b)(david)=15/7

if we divide them then we do
$\frac{(\frac{b}{a})(david)}{(\frac{a}{b})(david)}=\frac{\frac{12}{35}}{\frac{15}{7}}=$
$\frac{\frac{b}{a}}{\frac{a}{b}}=\frac{\frac{12}{35}}{\frac{15}{7}}=$
$(\frac{b}{a})(\frac{b}{a})=(\frac{12}{35})(\frac{7}{15})=$
$\frac{b^2}{a^2}=\frac{84}{525}=$
$\frac{b^2}{a^2}=\frac{4}{25}$
square root both sides
$\frac{b}{a}=\frac{2}{5}$

therefor
b=2 and a=5

john's number is a/b=5/2
sarah's number is 2/5

david, hmm

sarah times david=12/35
2/5 times david=12/35
times both sides by 5/2
david=60/70
david=6/7

check other

john times david=15/7
5/2 times 6/7=15/7
30/14=15/7
15/7=15/7
true

sarah's favorite number is 2/5
john's favorite number is 5/2
david's favorite number is 6/7

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3 years ago

If you get this you are a critical thinker.

Alchen [17]

Answer:

Step-by-step explanation:

If you killed 30 and there were 34 people there not including me then there would be 5 left.

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How many 1 1/2 liter bottles of water does it take to fill a 16 liter jug

timurjin [86]

11 bottles are needed to fill a 16 liter jug

Solution:

Given that, there is a 16 liter jug

There are $1\frac{1}{2}$ liters of bottle

Let us first convert the mixed fraction to improper fraction

Multiply the whole number part by the fraction's denominator.

Add that to the numerator.

Then write the result on top of the denominator.

$\rightarrow 1\frac{1}{2} = \frac{2 \times 1 + 1}{2} = \frac{3}{2} = 1.5$

Thus the bottle is of 1.5 liter

We have to find the number of 1.5 liter bottles needed to fill 16 liter jug

Divide 16 by 1.5 to get result

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egoroff_w [7]

Answer:

C. No, because there is an input value that has two different output values.

Step-by-step explanation:

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8=x/7 Find the value of X?

jeka94

Answer:

X=56

You have to multiply 8 and 7

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