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4 years ago

Write a quadratic variation equation if g(x) varies directly with x2, and g(x) = 108 when x = 6.

Mathematics

1 answer:

dlinn [17]4 years ago

5 0

G(x) = k * x^2

108 = k * 6^2
108 = k * 36
Divide both sides by 36
3 = k

g(x) = 3x^2

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Write an equation of the line passing through the points (4.15) and (-1. - 15).

jolli1 [7]

Answer:

y = 6x - 9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step-by-step explanation:

Step 1: Define

Point (4, 15)

Point (-1, -15)

Step 2: Find slope m

Substitute: $m=\frac{-15-15}{-1-4}$
Subtract: $m=\frac{-30}{-5}$
Divide: $m=6$

Step 3: Find y-intercept b

Define: y = 6x + b
Substitute: -15 = 6(-1) + b
Multiply: -15 = -6 + b
Isolate b: -9 = b
Rewrite: b = -9

Step 4: Write linear equation

Substitute in all variables.

y = 6x - 9

And we have our answer!

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FromTheMoon [43]

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Distributive Property

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3 years ago

-6x + 3 = 15 whats the solution to finding x

Anarel [89]

Answer:

x=-2

Step-by-step explanation:

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-6x=15-3

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divide both sides by -6

x= -12/6

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Step-by-step explanation:

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