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postnew [5]
3 years ago
15

What property is illustrated by this question? 0.2x + 1.3 + 3.9x + 9.75 A.

Mathematics
1 answer:
Bond [772]3 years ago
6 0

Answer:

The associative property is illustrated by this question ⇒ B

Step-by-step explanation:

Commutative Property states that you can move numbers around and still arrive at the same answer

For addition, a + b = b + a

For multiplication, a × b = b × a

Associative Property states that you can re-group numbers and you will get the same answer and the commutative property

For addition, (a + b) + c = a + (b + c)

For multiplication, (a × b) × c = a × (b × c)

Distributive Property  states that the sum of two numbers times a third number is equal  to the sum of each addend times the third number

(a + b) × c = a × c + b × c

∵ The question is 0.2 x  + 1.3 + 3.9 x + 9.75

- To solve it you will add the like terms so you must group them

∴ 0.2 x  + 1.3 + 3.9 x + 9.75 = (0.2 x + 3.9 x) + (1.3 + 9.75)

- This is the associative property because you re-group the numbers

∴ The associative property is illustrated by this question

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Answer:

1. 15, 16, 17

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3. 44, 46, 48

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Step-by-step explanation:

1)

Step 1. Writing an equation

Let's set x as the second number in the equation.

This means that the first number is x-1, and the third number is x+1.

We know that the sum of the three numbers is 48, so:

(x-1)+x+(x+1)=48

Step 2. Solving the equation

x-1+x+x+1=48

x+x+x-1+1=48

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x=16

<em>So the answer is 15, 16, 17</em>

2)

Again, let's set x as the middle number.

Odd numbers are 2 numbers apart, so the first number is x-2, and the third is x+2.

This means that the equation must be:

(x-2)+x+(x+2)=69

x+x+x=69

3x=69

x=23

<em>The numbers are 21, 23, and 25</em>

3)

x will be the middle number

Even numbers are 2 numbers apart, so the first number is x-2, and the third is x+2.

This means that:

x-2+x+x+2=138

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3x=138

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<em>The numbers are 44, 46, and 48.</em>

4)

x will be the middle number.

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3 years ago
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polet [3.4K]

Answer:

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Step-by-step explanation:

<u>Composite Function</u>

Given f(x) and g(x) real functions, the composite function named fog(x) is defined as:

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For practical purposes, it can be found by substituting g into f.

We have:

f(x)=3x+1

g(x)=x^2-6

Computing the composite function:

(f\circ g)(x)=f(g(x))=3(x^2-6)+1

Operating:

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Operating:

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Now evaluate for x=4

(f\circ g)(4)=3(4)^2-17=48-17

\boxed{(f\circ g)(4)=31}

8 0
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