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Alexxandr [17]
1 year ago
7

A function is expressed by the equation y=0.3x−6. For what value of the independent variable will the value of the function be e

qual to −6; −3; 0?
Mathematics
1 answer:
Anna11 [10]1 year ago
7 0

Answer:

0; 10; 20

Step-by-step explanation:

x is the independent variable

y is the dependent variable

y is dependent on x

a) For what value of the independent variable will the value of the function be equal to −6

y=0.3x−6

-6 = 0.3x-6

0=0.3x

x = 0

Therefore, if the independent variable is 0, the value of the function will be -6.

b) For what value of the independent variable will the value of the function be equal to −3

y=0.3x−6

-3 = 0.3x-6

0.3x = -3+6

0.3x = 3

x = 3/0.3

x = 10

Therefore, if the independent variable is 10, the value of the function will be -3.

c) For what value of the independent variable will the value of the function be equal to 0.

y=0.3x−6

0=0.3x-6

6 = 0.3x

x = 6/0.3

x = 20

Therefore, if the independent variable is 20, the value of the function will be 0.

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Answer:

1.25

Step-by-step explanation:

let \: a = x \: and \: b = y

36x =  \frac{45}{y}

36xy = 45

xy =  \frac{45}{36}

xy = 1.25

therefore \: ab \: is \: 1.25

4 0
2 years ago
You and three friends own a paint shop. The shop's profit was $536 in the first month. You always divide the profits equally. In
alexandr1967 [171]
C.  $360


$224x4=896 (total profit)

$896 (total) - $536 (first month profit) = $360 (second month profit)
4 0
2 years ago
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Devon wants to write an equation for a line that passes through 2 of the data points he has collected. The points are (8, 5) and
ser-zykov [4K]
For this case we have the following equation:
 7x - 10y = 3

 From here, we must substitute ordered pairs of the form:
 (x, y)
 If the ordered pair satisfies the equation, then it belongs to the line.
 We have then:

 For (8, 5):
 
We substitute the following values:
 x = 8

y = 5

7 (8) - 10 (5) = 3

56 - 50 = 3

6 = 3
 We observe that the equation is not satisfied and therefore, this point does not belong to the line.
 Since one of the points does not belong to the line, then the equation is not a good model.

 Answer:
 
It is not a good model. One of the points does not belong to the line.
4 0
2 years ago
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A factory produces 1,250,000 toys each year. The number of toys is expected to increase by about 150% per year. Which model can
kozerog [31]

Answer: Our required model is n=1250000(1.15)^t

Step-by-step explanation:

Since we have given that

Number of toys = 1,250,00

Every year is expected to increase by about 150% pr year.

So, initial value = 1250,000

Rate of change = 150%

Let the number of time = t years.

So, we will use "Compound interest":

n=P(1+\dfrac{r}{100})^t\\\\n=1250000(1+\dfrac{150}{100})^t\\\\n=1250000(1+1.50)^t\\\\n=1250000(1.15)^t

Hence, our required model is n=1250000(1.15)^t

6 0
1 year ago
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naveed makes 6.5litres of soup,correst to the nearest 0.5 litre he serves portions of his soup in 330ml cups correct to the near
Karolina [17]

Answer:

Number of Cups = 19

Step-by-step explanation:

Given

Size of Soup = 6.5 litres

SIze of cup = 330 ml

Required

Number of Cups.

First, it'll be assumed that the size of cups are uniform (the same).

The number of cups needed is calculated by dividing the size of soup by the size of the cup;

Number of Cup = Size of Soup/Size of Cup

Number of Cup = 6.5 litres/ 330 ml

<em>Convert units;</em>

<em>1 litres = 1000 ml</em>

<em>So,</em>

<em>6.5 litres = 6.5 * 1,000 ml</em>

<em>6.5 litres = 6,500 ml</em>

<em></em>

So,

Number of Cups = 6500 ml/330 ml

Number of Cups = 19.696969697

From the solution above, Naveed will definitely be able to serve 19 cups. The remaining fractional part won't fill a cup;

Hence, Number of Cups = 19

3 0
2 years ago
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