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2 years ago

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Mathematics

1 answer:

sertanlavr [38]2 years ago

6 0

Answer: The system consists of parallel lines

Step-by-step explanation:

Given system of lines :

$y=\dfrac13x-4$

$3y-x=-7$

Substitute $y=\dfrac13x-4$ in $3y-x=-7$ , we get

$3(\dfrac13x-4)-x=-7\\\\\Rightarrow\ x-12-x=-7\\\\\Rightarrow\ -12=-7$ , which is not true.

That means , system has no solution.

i.e. they are representing parallel lines. [Parallel lines do not intersect and hence they do not have solution.]

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Can i get help? I understand but a little confused

BartSMP [9]

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3 years ago

After working for 6 hours, Kevin earned $51.00. What is Kevin’s unit rate?

mina [271]

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3 years ago

A wholesaler requires a minimum of 4 items in each order from its retail customers. The manager of one retail store is consideri

Leto [7]

Answer:

The 1st graph will be perfectly matching the conditions.

Step-by-step explanation:

A wholesaler requires a minimum of 4 items in each order from its retail customers.

The manager of one retail store is considering ordering a certain number of sofas, x and a certain number of pillows that come in pairs, y.

Therefore, for y = 0, x ≥ 4 and for x = 0, y ≥ 2 to make the order of 4 items or more.

Therefore, the equation for the order to be of 4 items will be

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3 years ago

A boat is sighted from a 50-meter observation tower on the shoreline at an angle of depression of 4 degrees moving directly towa

MAXImum [283]

Answer:

5.76 km/h

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationship between angles and sides of a right triangle. Here, we are given the side opposite the angle (angle of depression), and we want to find the adjacent side (distance from shore).

Tan = Opposite/Adjacent

tan(4°) = (height of tower)/(distance from shore)

tan(4°) = (50 m)/(distance from shore)

Then the distance from shore is ...

distance from shore = (50 m)/tan(4°) ≈ 715.03 m

At the second sighting, the distance from shore is ...

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So, the distance traveled in 1/12 hour is ...

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and the speed in km per hour is ...

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3 years ago

The members of a book club spend the same amount of money for refreshments at each meeting. At one meeting they bought 6 bagels

Tom [10]

The members of a book club spend $0.4 for each Bagel as refreshment.

Let x represent the cost of each bagel.

At a meeting, they bought 6 bagels and spent $9.00 on beverages, hence:

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At another meeting, they bought 8 bagels and spent $8.20 on beverages, hence:

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Since the same money is spent on each meeting, hence:

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Therefore the cost of each bagel is $0.4

Find out more at: brainly.com/question/13911928

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2 years ago