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marysya [2.9K]
3 years ago
14

2x+3y=12 find four solutions​

Mathematics
1 answer:
Nana76 [90]3 years ago
7 0

Answer:

y = 0 and x = 6

y = 2 and x = 3

y = 4 and x = 0

y = 6 and x = -3

Step-by-step explanation:

2x+3y=12 is the equation of a straight line.

There are infinite number of solutions, but here you're probably looking for solutions where x and y are whole numbers. Trial and error will find you some, although if you examine the equation closely you see that if x is a multiple of 3 and y is a multiple of 2, then they produce terms that are the LCM (least common multiple) of 2 and 3, namely 6. That's the logic in the whole number solutions.

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The volume of a cube is 710cm3 work out the length of its side rounded to 1 decimal place​
Fofino [41]
8.9 because I used a calculator
6 0
2 years ago
Write each expression as a single number:
sattari [20]

Answer:

  • B) 2º+2=4

raise ^that 4 to the power of -1+2 like this

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5-2=3 <Awnser

4 0
1 year ago
A regular assignment has 15 sides.Calculate the size of each interior angle
MariettaO [177]

Answer:

The measure of an interior angle of a regular 15-gon is 120°.

Step-by-step explanation:

We need to determine the measure of the size of an interior angle of a regular 15-gon having 15 sides.

Thus,

The number of sides n = 15

Hence,

Using the formula to determine the measure of an interior angle of a regular 15-gon is given by

(n - 2) × 180° = n × interior angle

substitute n = 15

(15 - 2) × 180 = 15 × interior angle

13 × 180 = 15 × interior angle

Interior angle = (10 × 180) / 15

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                      = 120°

Therefore, the measure of an interior angle of a regular 15-gon is 120°.

6 0
3 years ago
Recall the scenario about Eric's weekly wages in the lesson practice section. Eric's boss have been very impressed with his work
Solnce55 [7]

Answer:  

1)\quad f(x)=\bigg\{\begin{array}{ll}12x&0\leq x

2) D: x = [0, 24]

3) R: y = [0, 384]

4) see graph

<u>Step-by-step explanation:</u>

Eric's regular wage is $12 per hour for all hours less than 9 hours.

The minimum number of hours Eric can work each day is 0.

f(x) = 12x    for   0 ≤ x < 9

Eric's overtime wage is $18 per hour for 9 hours and greater.

The maximum number of hours Eric can work each day is 24 (because there are only 24 hours in a day).

f(x) = 18(x - 8) + 12(8)

    = 18x - 144 + 96

    = 18x - 48           for 9 ≤ x ≤ 24

The daily wage where x represents the number of hours worked can be displayed in function format as follows:

f(x)=\bigg\{\begin{array}{ll}12x&0\leq x

2) Domain represents the x-values (number of hours Eric can work).

The minimum hours he can work in one day is 0 and the maximum he can work in one day is 24.

D:  0 ≤ x ≤ 24        →        D: x = [0, 24]

3) Range represents the y-values (wage Eric will earn).

Eric's wage depends on the number of hours he works. Use the Domain (given above) to find the wage.

The minimum hours he can work in one day is 0.

f(x) = 12x

f(0) = 12(0)

     =  0

The maximum hours he can work in one day is 24 <em>(although unlikely, it is theoretically possible).</em>

f(x) = 18x - 48

f(24) = 18(24) - 48

       = 432 - 48

       = 384

D:  0 ≤ y ≤ 384        →        D: x = [0, 384]

4) see graph.

Notice that there is an open dot at x = 9 for f(x) = 12x

and a closed dot at x = 9 for f(x) = 18x - 48

6 0
3 years ago
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LiRa [457]

Answer:

45 3/10 mph

Step-by-step explanation:

30 1/5 /2 = 15 1/10

15 1/10 x 3 = 45 3/10 mph

8 0
2 years ago
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