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djverab [1.8K]
3 years ago
6

Write an appropriate direct variation equation if y = 18 when x = 2

Mathematics
1 answer:
Sergeu [11.5K]3 years ago
8 0

Answer:

y=9x

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form k=\frac{y}{x} or y=kx

In this problem we have

y=18 when x=2

Find the value of the constant of proportionality k

k=\frac{y}{x} ----> k=\frac{18}{2}=9

therefore

The equation is equal to

y=9x

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An animal gained 5 kilograms steadily over 20 years. What is the unit rate of kilograms per​ year?
balandron [24]

The unit rate is 0.25 kilograms per year.

Step-by-step explanation:

Lets define unit rate first

Unit rate is the change in quantity per unit time.

Given

Weight = w = 5 kg

Time = t  = 20 years

So,

Unit\ rate = \frac{weight}{time}\\=\frac{w}{t}\\= \frac{5}{20}\\= 0.25

Hence,

The unit rate is 0.25 kilograms per year.

Keywords: Unit rate, rate of change

Learn more about unit rate at:

  • brainly.com/question/689294
  • brainly.com/question/6788996

#LearnwithBrainly

5 0
3 years ago
The 4th and 8th term of a G.P. are 24 and 8/27 respectively. find the 1st term and common ratio
beks73 [17]

Answer:

see explanation

Step-by-step explanation:

The n th term of a geometric progression is

• a_{n} = a₁ r^{n-1}

where a₁ is the first term and r the common ratio

given a₄ = 24, then

a₁r^{3} = 24 → (1)

Given a₈ = \frac{8}{27}, then

a₁r^{7} = \frac{8}{27} → (2)

Divide (2) by (1)

r^{4} = \frac{\frac{8}{27} }{24} = \frac{1}{81}

Hence r = \sqrt[4]{\frac{1}{81} } = \frac{1}{3}

Substitute this value into (1)

a₁ × (\frac{1}{3} )³ = 24

a₁ × \frac{1}{27} = 24, hence

a₁ = 24 × 27 = 648

4 0
3 years ago
Which expression is equivalent to 2(3x+4)(x-3)
natali 33 [55]

Answer:

6x^2  − 10x − 24

Step-by-step explanation:

2(3x + 4)(x - 3)

(6x + 8)( x − 3)

6x^2  − 18x + 8x − 24

6x^2  − 10x − 24

7 0
2 years ago
Griffin says the birds height above and the fish’s depth below sea level are opposites. Is this possible? Explain.
Umnica [9.8K]
It had to be possibly amazing
6 0
2 years ago
1st question: Reuben received 80 dollars. Write a signed number to represent this change.
lesya692 [45]

Answer:

1) +80

2) -1520

Step-by-step explanation:

Positive Signed numbers are used in real world situations to indicate the increase. Examples include; increase in weight, deposit of money into an account, increase in income, profit, height above sea level, etc. They are all represented by positive signed numbers.

Whereas, negative signed numbers show decrease. Examples include; loss of weight, withdrawal of money from an account, loans, liabilities, losses, temperature below zero degrees, height below sea level.

1) We are told that Reuben received 80 dollars. Thus, it means he received an increase in the amount of money he already had. Thus, the signed number will be +80.

2) We are told that A car corporation produced 1520 fewer cars this month than last.

Thus, the signed number will be negative since there is a decrease in number of cars.

Thus, signed number = -1520

7 0
2 years ago
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