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2 years ago

The constraints of a problem are listed below. What are the vertices of the feasible region?

Mathematics

2 answers:

BigorU [14]2 years ago

5 0

Answer:

Step-by-step explanation:

got it on edge

Luda [366]2 years ago

3 0

Answer: option 1.

Explanation:

feasible region is that region which is formed by the lines of constraints.

feasible region is shaded in the attached graph

inequalities becomes equalities to draw the graph

and lines will head towards the origin if constraint satisfied by putting x= 0, y=0

and on the contrary lines will move away from origin when condition of constraint does not satisfied.

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ONLY 2 MINS HELP!!!!!!!!!!!!!!!!!!!1

Tresset [83]

Answer:

the answer you are looking for is C

7 0

2 years ago

James has dimes and quarters saved up in his change jar. He has a total of 162 coins totaling $31.20. James has dimes

SashulF [63]

The question is incomplete:

James has dimes and quarters saved up in his change jar. He has a total of 162 coins totaling $31.20 what is the total amount james has in quarters?

a. $10.00

b. $6.20

c.$15.50

d.$25.00

Answer:

d.$25.00

Step-by-step explanation:

With the information provided, you can write the following equations given that dimes are equal to 0.10 and quarters to 0.25 to determine the number of dimes and quarters that James has:

x+y=162 (1)

0.10x+0.25y=31.20 (2), where:

x is the number of dimes

y is the number of quarters

First, you can solve for x in (1):

x=162-y (3)

Then, you have to replace (3) in (2) and solve for y:

0.10(162-y)+0.25y=31.20

16.2-0.10y+0.25y=31.20

0.15y=31.20-16.2

0.15y=15

y=15/0.15

y=100

Finally, you have to replace the value of y in (3) to find x:

x=162-100

x=62

Now, you know that James has 100 quarters and you can multiply this number for the value of a quarter to find the amount James has in quarters:

100*0.25=25

According to this, the answer is that James has $25 in quarters.

4 0

3 years ago

A right rectangular prism has a side height of 4 cm and a volume of 48 cm cubed.

MrRissso [65]

Answer:

15cm^2

Step-by-step explanation:

it is basic math to me.

3 0

3 years ago

What are the restrictions for a? 2a^2+a-15/5a^2+16a+3

koban [17]

ANSWER

The restrictions are

$a\ne -3,a\ne -\frac{1}{5}$

EXPLANATION

We were given the rational function,

$\frac{2a^2+a-15}{5a^2+16a+3}$

The function is defined for all values of a, except

$5a^2+16a+3=0$

This has become a quadratic trinomial, so we need to split the middle term.

We do that by multiplying the coefficient of $x^2$ which is 5 by the constant term which is 3. This gives us 15.

The factors of 15 that adds up to 16 are 1 and 15.

We use these factors to split the middle term.

$5a^2+15a+a+3=0$

We now factor to get,

$5a(a+3)+1(a+3)=0$

We factor further to get,

$(a+3)(5a+1)=0$

This implies that,

$(a+3)=0,(5a+1)=0$

This gives

$a=-3,a=-\frac{1}{5}$

These are the restrictions.

8 0

3 years ago

The population of fruit flies in a laboratory grows geometrically and is checked everyday at noon. If the population began with

erma4kov [3.2K]

Answer:

$\boxed{195}$

Step-by-step explanation:

The fruit flies grows geometrically.

$125=80k^2$

Find the value of k.

$\sqrt{\frac{125}{80} } =k$

$1.25=k$

$P=80(1.25)^t$

$t$ is number of days.

$P=80(1.25)^4$

$P=195$

7 0

2 years ago