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Aleonysh [2.5K]
3 years ago
13

I NEED HELP AS ASAP 4 THE FIRST AND SECOND ONE !!!!

Mathematics
1 answer:
irga5000 [103]3 years ago
8 0
Explaination: when graphing a relation, the set of second elements will be the y-values of the graph.
Range: [-4,-3,-2,0,3,5]
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Carlo recycles 8 glass bottles every week. Which expression shows the total number of glass bottles he recycles in w weeks?
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8w 

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There are some oranges in a box. The total weight of these oranges is 4.29 kg. The
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Answer:

There are 44 oranges in the box

Step-by-step explanation:

4.29 kg = 4290 g

4290g / 97.5 g = 44

3 0
3 years ago
Find positive numbers x and y satisfying the equation xyequals12 such that the sum 4xplusy is as small as possible. Let S be the
WITCHER [35]

Answer:

The objective function in terms of one​ number, x is

S(x) = 4x + (12/x)

The values of x and y that minimum the sum are √3 and 4√3 respectively.

Step-by-step explanation:

Two positive numbers, x and y

x × y = 12

xy = 12

S(x,y) = 4x + y

We plan to minimize the sum subject to the constraint (xy = 12)

We can make y the subject of formula in the constraint equation

y = (12/x)

Substituting into the objective function,

S(x,y) = 4x + y

S(x) = 4x + (12/x)

We can then find the minimum.

At minimum point, (dS/dx) = 0 and (d²S/dx²) > 0

(dS/dx) = 4 - (12/x²) = 0

4 - (12/x²) = 0

(12/x²) = 4

4x² = 12

x = √3

y = 12/√3 = 4√3

To just check if this point is truly a minimum

(d²S/dx²) = (24/x³) = (8/√3) > 0 (minimum point)

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2 years ago
Em uma sala já três lâmpadas iguais ,um televisor e um aparelho de ar condicionado .A TV consome o dobro dos quilowatts-hora que
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