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2 years ago

Explain how a solution found using substitution can be checked.

Mathematics

1 answer:

DENIUS [597]2 years ago

4 0

A solution can be found using substitution by substituting the ordered pair into both of the original equations.

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Use substitution to solve the system of equations.<br> y + x = 3<br> y = 1.5x + 1

jeyben [28]

Answer:

x=0.8, y=2.2 (0.8, 2.2).

Step-by-step explanation:

y+x=3

y=1.5x+1

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

1.5x+1+x=3

2.5x=3-1

2.5x=2

x=2/2.5

x=0.8

y+0.8=3

y=3-0.8

y=2.2

5 0

3 years ago

What are some values to make -2x> 10 true ?<br> Please help ASAP!

steposvetlana [31]

Answer:

-6 -7 -8 -9 -10

Step-by-step explanation:

anything that keeps going from there dont do anything like -5 -4 -3 -2 -1 because it would be wrong

any negative number that keeps increasing after -6

7 0

2 years ago

The sum of two numbers is ten. Using x to represent the smaller number, translate "the difference between twice the larger numbe

Agata [3.3K]

The larger number is 10 - x.
2(10 - x) - (-20)
20 - 2x + 20
40 - 2x

8 0

2 years ago

If a monopolist supplies goods at a price; P = 170 - Q, with marginal cost; MC = 52. Find the quantity and price

Arada [10]

Answer:

Quantity = 59 units

Price = $111

Step-by-step explanation:

The Demand function is given by

$P = 170 - Q$

The Marginal cost is given by

$MC = 52$

We are asked to find the quantity and price of goods.

Firstly, obtain the Marginal revenue function from the demand function

The Total revenue is given by

$TR = P \times Q \\\\TR = (170 - Q) \times Q \\\\TR = 170Q - Q^2$

The Marginal revenue is the derivative of the Total revenue,

$MR = \frac{d}{dQ} (TR) = 170Q - Q^2 \\\\MR = \frac{d}{dQ} (TR) = 170 - 2Q \\\\$

Assuming that the monopolist maximizes profits,

$MR = MC \\\\170 - 2Q = 52\\\\2Q = 170 - 52\\\\2Q = 118\\\\Q = 118/2\\\\Q = 59$

Therefore, the quantity is 59 units.

The price of each good is

$P = 170 - Q \\\\P = 170 - 59 \\\\P = 111$

Therefore, the price is $111.

3 0

3 years ago

Write two word phrases for t+23

bixtya [17]

For a sum of a number t and 23
t plus 23

8 0

2 years ago