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3 years ago

-4x + 3y = -2 Y = x - 1

Mathematics

1 answer:

Nikitich [7]3 years ago

8 0

Answer:

(-1, -2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

Equality Properties

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

Algebra I

Terms/Coefficients
Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define

-4x + 3y = -2

y = x - 1

Step 2: Solve for x

Substitution

Substitute in y: -4x + 3(x - 1) = -2
[Distributive Property] Distribute 3: -4x + 3x - 3 = -2
Combine like terms: -x - 3 = -2
[Addition Property of Equality] Add 3 on both sides: -x = 1
[Division Property of Equality] Divide -1 on both sides: x = -1

Step 3: Solve for y

Substitute in x [Original Equation]: y = -1 - 1
Subtract: y = -2

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Talja [164]

Answer:

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(b) 64.28m/s

Step-by-step explanation:

Given y = 68t - 1.86t²

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To obtain dy/dt, we differentiate y with respect to t, doing that, we have

dy/dt = 68 - 2(1.86)t

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(b) To estimate the speed when t = 1, we substitute t = 1 in dy/dt .

dy/dt at t = 1 is

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= 68 - 3.72

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3 years ago

Homework - Pure Year 1 - Chapter 11B

ycow [4]

Answer:

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Step-by-step explanation:

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2 years ago

Use the graph of the function to find f(-2)

lesya692 [45]

Answer:

Answer D: f(-2) = 2

Step-by-step explanation:

To evaluate f(-2) we need to find what is the y-value that the graph shows for the x-value "-2".

To find such, we look for the value x = -2 on the horizontal (x) axis (located two units to the left of the origin of coordinates (0,0)), and from there, we investigate at what y-value (value on the vertical y-axis) a line that follows the vertical grid passing through x = -2, intercepts the graph of the function.

That is pictured with a red dot in the attached image. Notice that the y-value at which such intersection occurs is y = 2.

Therefore f(-2) = 2