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Sauron [17]
3 years ago
13

Solve for the linear system of equations

Mathematics
1 answer:
spayn [35]3 years ago
7 0
D) (-4,-4) is the answer
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A company finds it can produce 15 heaters for $ 4050​, while producing 25 heaters costs $ 6550. Express the​ cost, y, as a l
amid [387]

Answer:

y=250x+300

Step-by-step explanation:

Let x be the number of heaters and y be the total cost.

We need to find the linear function for y in terms of x.

It is given that company can produce 15 heaters for $4050 and 25 heaters costs $ 6550.

It means the line passes through the points (15,4050) and (25,6550).

If a line passes through two points (x_1,y_1) and (x_2,y_2), then the equation of line is

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

The equation of line is

y-4050=\frac{6550-4050}{25-15}(x-15)

y-4050=\frac{2500}{10}(x-15)

y-4050=250(x-15)

y-4050=250x-3750

Add 4050 on both sides.

y-4050+4050=250x-3750+4050

y=250x+300

Therefore, the required linear function is y=250x+300.

8 0
3 years ago
Juan caught 28 fish and gave away 12. Juan divided the rest equally among 2 friends. How many did each friend have?
Alona [7]

Answer:

8

Step-by-step explanation:

28-12=16

16/2=8

Simple!

6 0
3 years ago
Read 2 more answers
Share £747 in the ratio 2:7 between tom and ben
kondor19780726 [428]

Answer:

Really hope this helps

Step-by-step explanation:

Tom= £149.40

Ben= £522.90

5 0
3 years ago
PLEASE HELP Show all Your work 25 points will give brainly
julsineya [31]

Answer:

x=9

Step-by-step explanation:

√117²=x²+6²

117=x²+36

x²=117-36

x²=81

x=9

6 0
4 years ago
What is 1 - 1/6 * 3/2 =
kolezko [41]

1-1/6*3/2

multiply the two fractions

1/6*3/2

Cross out 3 and 6, divide by 3.

1/2 * 1/2

multiply the numerators together

1*1=1

multiply the denominators together

2*2=4

1-1/4

pretend that 1 has a denominator which is 1

1/1-1/4

find the common denominator for 1/1 which is 4

multiply by 4 for 1/1

1*4/1*4=4/4

4/4-1/4

Answer:

3/4

4 0
3 years ago
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