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ArbitrLikvidat [17]
2 years ago
12

What is the standard form of this number? (8 × 0.1) + (5 × 0.01) + (1 × 0.001) =

Mathematics
1 answer:
lianna [129]2 years ago
3 0

Answer:

0.851

Step-by-step explanation:

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31. Algebra Fill in the reason that justifies each step.
Anna11 [10]

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Step-by-step explanation:

<u>Statements    </u>                                   <u>  Reasons</u>

1) QS =42                                               Given

2) QR + RS = QS                              Segment Addition Postulate

3) (x + 3) + 2x = 42                            Substitution Property

4) 3x + 3 = 42                                      Simplify

5) 3x = 39                                          Subtraction Property of Equality

6) x=13                                               Division Property of Equality

Explanation:

We have given QS=42. We have to prove that x=13

We will use Segment Addition Postulate which states that given 2 points Q and S, a third point R lies on the line segment QS  if and only if the distances between the points satisfy the equation QR + RS = QS.

Then we will substitute the values in the defined postulate.

where QR= x+3

RS=2x

QS=42

QR+RS=QS

(x+3)+2x= 42

Now simplify the expression by opening the brackets.

x+3+2x=42

3x+3=42

Now subtract 3 from both sides.

3x+3-3=42-3

3x=39

divide both sides by 3.

3x/3 =39/3

x=13..

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G(x) = x to the power of 2 - 6 over 3x + 10 &amp; g(4) = what over what
dalvyx [7]

Answer:

We have that:

g(x) = \frac{x^2 - 6}{3*x + 10}

And we want to find the value of g(4)

Then we are evaluating the function g(x) in x = 4, this means that we need to locate all the "x" in g(x), and replace them by 4.

If we do that, we get:

g(4) = \frac{4^2 - 6}{3*4 + 10}

Now we can just solve this to get:

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