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GrogVix [38]
3 years ago
8

3x+5y=4, 2x-y=-7 solve using substitution

Mathematics
1 answer:
victus00 [196]3 years ago
6 0
 <span>3x+5y=4...(1)
 2x-y=-7...(2)
by(2) : y = 2x+7
subsct in (1) : 
3x +5(2x+7) = 4 
13x = - 31
x = -31/13
y = 2(-31/13)+7 = 29/13</span>
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Please help!
riadik2000 [5.3K]

Answers:

Domain is  0 \le d \le 100

Range is  0 \le F(d) \le 150

==============================================

Explanation:

The most money made from selling drinks is $150. Divide this over the cost per drink to get 150/(1.50) = 100; indicating that at most 100 drinks are sold per day. This is the largest that d can get because d represents the number of drinks sold.

The smallest d can get is d = 0 to mean that no drinks are sold.

In short: d is between 0 and 100, including both endpoints. We write 0 \le d \le 100 to indicate this. This is the domain because the domain represents all the possible inputs allowed.

---------------------------------------------------

The range is the set of allowed outputs.

If we plugged in d = 0, then you would find F(d) = 0 as well. If you don't sell any drinks, then you earn $0. This is the smallest item in the range.

On the other side of things, the largest item in the range is 150 because this value was given to us. It's the upper limit or ceiling value of how much money is made from drinks. You can also find this by plugging d = 100, the largest domain value, into the function to get F(d) = 150.

Therefore the range is 0 \le F(d) \le 150 to indicate that F(d) is between 0 and 150 inclusive of both endpoints.

8 0
3 years ago
Michael earns $21 per hour and works 40 hours per week. How many overtime hours would he have to worky in a week for his time-an
Alex73 [517]

Answer:

27 hours

Step-by-step explanation:

The regular hours are paid normally, 21/hr hence working for 40 hours, Michael earns 40*21=$840

To work x hours paid overtime as 1.5 of the normal rate, the rate would be $21*1.5=$31.5/hr

X hours multiplied by rate of $31.5/hr should be at least equal to $840

31.5x>=840

X>=840/31.5>=26.6667 hours and when rounded off

X is 27 hours

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90 = (20)(x)
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Answer:

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Step-by-step explanation:

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