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3 years ago

How can you identify a linear function?

Mathematics

1 answer:

VMariaS [17]3 years ago

3 0

Answer:

Linear functions are those whose graph is a straight line. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y. a is the constant term or the y intercept.

Step-by-step explanation:

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6-7(x+1)= -3(2-x)<br> How do you solve this?

kicyunya [14]

<h3><u>Explanation</u></h3>

Given the equation.

$6 - 7(x + 1) = - 3(2 - x)$

Distribute/Simplify

$6 - 7x - 7 = - 6 + 3x \\ - 1 - 7x = - 6 + 3x$

Solve the equation for x-term by making x as the subject.

$- 1 + 6 = 7x + 3x \\ 5 = 10x \\ \frac{5}{10} = x \\ \frac{1}{2} = x$

Answer Check by substituting the value of x in the equation.

$6 - 7( \frac{1}{2} ) - 7 = - 6 + 3( \frac{1}{2} ) \\ 6 - \frac{7}{2} - 7 = - 6 + \frac{3}{2} \Longrightarrow \sf{You \: \: can \: \: change \: \: sides \: \: to \: \: make \: \: it \: \: easier} \\ 6 - 7 + 6 = \frac{7}{2} + \frac{3}{2} \\ 5 = \frac{10}{2} \\ 5 = 5 \: \green{ \checkmark}$

The equation is true for x = 1/2.

<h3><u>Answer</u></h3>

<u> $\large \boxed{x = \frac{1}{2} } \: \: \: \: \green{ \checkmark}$ </u>

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3 years ago

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Question Which of the following statements are equivalent to the statement "Not all cats do not like having their belly rubbed"?

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Is this actually a Mathematics question?

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4 years ago

A chef cooks 9lbs of chicken for 36 people and for 68 people it takes 17 lbs of chicken

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3 years ago

State the explicit form of the pattern: 4, 9, 14, 19, ... A) an = n + 5 B) an = 2n - 5 C) an = 2n - 1 D) an = 5n - 1

hichkok12 [17]

Answer:

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Step-by-step explanation:

The sequence is generated by substituting a value for n.

The first term of the sequence is 4

So when n = 1

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a1 = 5(1) - 1

a1 = 5 - 1

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The second term of the sequence is 9.

So n = 2

a2 = 5(2) - 1

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To find the next value you just have to substitute the next value for n.

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3 years ago