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Henrietta is planting a new flower garden she must have yellow and red rose bushes let X represent the number of yellow rose bushes and Y represent the number of red rose bushes she wants at least four times as many yellow rose bushes as red rose bushes each yellow rosebush cost $7.50 and each red rose bush cost $4.75 she can spend no more than $125 select all the restraints for this situation

Respuesta :

calculista

Answer:

[tex]x \geq 4y[/tex]

[tex]7.50x+4.75y\leq 125[/tex]

[tex]x > 0[/tex]

[tex]y > 0[/tex]

Step-by-step explanation:

Let

x -----> the number of yellow rose bushes

y -----> the number of red rose bushes

we know that

At least means "greater than or equal to"

[tex]x \geq 4y[/tex] ----> inequality A

[tex]7.50x+4.75y\leq 125[/tex] -----> inequality B

additionally

The number of roses cannot be a negative number

so

[tex]x > 0[/tex] ----> inequality C

[tex]y > 0[/tex] ----> inequality D

therefore

The restraints are

[tex]x \geq 4y[/tex]

[tex]7.50x+4.75y\leq 125[/tex]

[tex]x > 0[/tex]

[tex]y > 0[/tex]

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