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3 years ago

When two numbers have a sum equal to _ the numbers are additive inverses example of + -9 =0 and 18 + __ = 0

Mathematics

1 answer:

Aliun [14]3 years ago

5 0

Answer: Zero; 9; -18

Step-by-step explanation:

An additive inverse always adds up to zero. 9 is the opposite of -9, and -18 is the opposite of 18

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Step-by-step explanation:

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2 years ago

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Set equal to eachother
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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

Solve the system using substitution. y - 3x = 1 2y - x = 12 ([?], [])

anyanavicka [17]

Answer:

(2, 5)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y - 3x = 1

2y - x = 12

Step 2: Rewrite Systems

y - 3x = 1

Add 3x on both sides: y = 3x + 1

Step 3: Redefine Systems

y = 3x + 1

2y - x = 12

Step 4: Solve for x

Substitution

Substitute in y: 2(3x + 1) - x = 12
Distribute 2: 6x + 2 - x = 12
Combine like terms: 5x + 2 = 12
Isolate x term: 5x = 10
Isolate x: x = 2

Step 5: Solve for y

Define equation: 2y - x = 12
Substitute in x: 2y - 2 = 12
Isolate y term: 2y = 10
Isolate y: y = 5

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2 years ago

For the function f(x) = 7/2x-16, what is the difference quotient for all nonzero values of h?

sergey [27]

Answer:

$\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}$

Step-by-step explanation:

Given

$f(x) = \frac{7}{2}x - 16$

Required

The difference quotient for h

The difference quotient is calculated as:

$\frac{f(x + h) - f(x)}{ h}$

Calculate f(x + h)

$f(x) = \frac{7}{2}x - 16$

$f(x+h) = \frac{7}{2}(x+h) - 16$

$f(x+h) = \frac{7}{2}x+ \frac{7}{2}h- 16$

The numerator of $\frac{f(x + h) - f(x)}{ h}$ is:

$f(x + h) - f(x) = \frac{7}{2}x+ \frac{7}{2}h- 16 -(\frac{7}{2}x - 16)$

$f(x + h) - f(x) = \frac{7}{2}x+ \frac{7}{2}h- 16 -\frac{7}{2}x + 16$

Collect like terms

$f(x + h) - f(x) = \frac{7}{2}x -\frac{7}{2}x + \frac{7}{2}h- 16 + 16$

$f(x + h) - f(x) = \frac{7}{2}h$

So, we have:

$\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}h \div h$

Rewrite as:

$\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}h * \frac{1}{h}$

$\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}$

5 0

3 years ago

When two numbers have a sum equal to ___ the numbers are additive inverses example of __ + -9 =0 and 18 + __ = 0

When two numbers have a sum equal to _ the numbers are additive inverses example of + -9 =0 and 18 + __ = 0