Diego bought some raisins and walnuts to make trail mix. Raisins cost $4 a pound and walnuts cost $8 a pound. Diego spent $30 on both ingredients.
Write an equation to represent this constraint. Let x be pounds of raisins
and y be pounds of walnuts.

4x + 8y = 30

Step-by-step explanation:

Cost of raisins = $4 per pounds

Cost of walnuts = $8 per pounds

Total spent on both ingredients = $30

Let

Pounds of raisins = x

Pounds of walnuts = y

Diego's equation can be represented by

PxQx + PyQy = 30

Where,

Px = price of raisins

Qx = Quantity of raisins (pounds)

Py = price of walnuts

Qy = Quantity of walnuts (pounds)

PxQx + PyQy = 30

4x + 8y = 30

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

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−

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,

y

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}

step-by-step explanation:

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step-by-step explanation:

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