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3 years ago

Given the function Calculate the following values: f( - 1) = f(0) f(2)=

Mathematics

1 answer:

Alecsey [184]3 years ago

6 0

-1 is less than 0, so you use the first equation:

3(-1) +2 = -3+2 = -1

f(-1) = -1

For 0 use the 2nd equation:

3(0) + 4 = 0+4 = 4

f(0) = 4

For 2 use the 2nd equation:

3(2) + 4 = 6+4 = 10

f(2) = 10

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Y = 4x – 18 y = -5x +9

adelina 88 [10]

Answer:

(3, -6)

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)
Terms/Coefficients
Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = 4x - 18

y = -5x + 9

Step 2: Solve for x

Substitution

Substitute in y [2nd Equation]: 4x - 18 = -5x + 9
[Addition Property of Equality] Add 5x on both sides: 9x - 18 = 9
[Addition Property of Equality] Add 18 on both sides: 9x = 27
[Division Property of Equality] Divide 9 on both sides: x = 3

Step 3: Solve for y

Substitute in x [1st Equation]: y = 4(3) - 18
Multiply: y = 12 - 18
Subtract: y = -6

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-2x+3y=-6 Add 2x in both sides
3y=2x-6 Divide by 3 in both sides to isolate y
y=2/3x-6/3

The slope of the given line is 2/3, which means that the slope of a line perpendicular to this one, needs to be -3/2. Now you need to find the value of b or the y-intercept by substituting the given point into the formula y=mx+b, where letter m represents the slope.

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7=b

The equation that represents the line perpendicular to -2x+3y=-6 and that passes through the point (6,-2), is y=-3/2x+7.

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3 years ago