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3 years ago

Using the graph of f(x) and g(x), where g(x) = f(k•x), determine the value of k.

Mathematics

1 answer:

Nataliya [291]3 years ago

5 0

equation of f(x)

point of intersection of f(x) and x axis - (-4,0)

point of intersection of f(x) and y axis - (0,4)

Equation y = x +4

g(x) = f( kx)

= kx +4

g(-2) = -2

-2k +4= -2

-2k = -2 -4

-2k = -6

k= 3

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4 years ago

The population of Laredo, Texas, was about 215,500 in 2007. It was about 123,000 in 1990. If we assume that the population growt

Mazyrski [523]

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Step-by-step explanation:

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3 years ago

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butalik [34]

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4 years ago

Read 2 more answers

The sales tax in your city is 4.4%, and an item costs $3

Aloiza [94]

Answer:

We would pay $.13 or 13 cents

Step-by-step explanation:

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3 years ago

Solve systems of equations for y and x: −5y + 8x = −18 5y + 2x = 58

Natali5045456 [20]

Answer:

(4, 10)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Coordinates (x, y)
Coefficients
Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

-5y + 8x = -18

5y + 2x = 58

Step 2: Solve for x

Elimination

Combine 2 equations: 10x = 40
[Division Property of Equality] Divide 10 on both sides: x = 4

Step 3: Solve for y

Substitute in x [Original equation]: -5y + 8(4) = -18
Multiply: -5y + 32 = -18
[Subtraction Property of Equality] Subtract 32 on both sides: -5y = -50
[Division Property of Equality] Divide -5 on both sides: y = 10

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3 years ago