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3 years ago

Write the direct variation function given that y varies directly with x, and y = 1.5 when x = 5.

Mathematics

1 answer:

Cloud [144]3 years ago

4 0

Answer:

y=0.3x

Step-by-step explanation:

Formula = $K=\frac{y}{x}$

y α x

y = kx

Where k is the constant of proportionality.

When y = 1.5; x = 5;

We substitute these known values in the equation,

y = kx

1.5 = k5

Dividing both sides of the equation by 5 to find the value for k, we have

1.5/5= k0.3/5

Therefore,

K = 0.3

Having found the value of k,

We substitute this value into the relationship

y = kx

Therefore we have,

y = 0.3x.

The direct variation function is therefore,

y = 0.3x.

[RevyBreeze]

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3 years ago

FINDE THE DOMAIN OF THE FUNCTION g(x)=roots x+7 write your answer using INTERVAL NOTATION.

Anna007 [38]

Answer:

Domain: [-7, ∞)

General Formulas and Concepts:

Algebra I

Domain is the set of x-values that can be inputted into function f(x)

Step-by-step explanation:

Step 1: Define function

g(x) = √(x + 7)

Step 2: Determine

We know that we cannot have a negative under the square root as it will produce imaginary numbers. Therefore, on a real number scale, the square root can be no less than or equal to 0.

We see from the function that in order to get 0 under the square root, x = -7. If we have x = -8, we would get -1 under the square root, thus giving us an imaginary numbers.

Therefore, our domain is x ≥ -7 or [-7, ∞).

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3 years ago

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Andreas93 [3]

Answer:

$3,300

Step-by-step explanation:

The salary given falls in the third range, meaning it should get a 5.5% income tax on the $60,000.

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3 years ago

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4 years ago

Read 2 more answers

Caleb needs to water his rectangular garden. The garden measures 5.76 meters by 4.45 meters. What is the area of the garden?

Angelina_Jolie [31]

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3 years ago