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Natalija [7]
3 years ago
6

Identify the property that justifies the statement: If 4x - 3 = 7, then 4x = 10. -----> Is this substitution property?

Mathematics
2 answers:
Vitek1552 [10]3 years ago
8 0
The equation shown above does not show the substitution property. Instead, it shows the Addition Property of Equation where 3 is added to both of its sides. This is shown below,
                                   4x - 3 = 7
                               4x - 3 + 3 = 7 + 3
                                   4x = 10
Zigmanuir [339]3 years ago
3 0

Answer:

No, it is not substitution property. Addition property of equality justifies the statement.

Step-by-step explanation:

The given statement: If

4x-3=7               .... (1)

them

4x=10             ... (2)

According to the Addition property of equality, if a,b and c are real number, then

a=b\Leftrightarrow a+c=b+c

Using Addition property of equality, add 3 on both sides in equation (1).

4x-3+3=7+3

4x=10

This equation is same as equation (2).

Therefore Addition property of equality justifies the statement.

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Find the equation of the axis of symmetry of the following parabola algebraically.
mr Goodwill [35]

Answer:

the equation of the axis of symmetry is x=8

Step-by-step explanation:

Recall that the equation of the axis of symmetry for a parabola with vertical branches like this one, is an equation of a vertical line that passes through the very vertex of the parabola and divides it into its two symmetric branches. Such vertical line would have therefore an expression of the form: x=constant, being that constant the very x-coordinate of the vertex.

So we use for that the fact that the x position of  the vertex of a parabola of the general form: y=ax^2+bx+c, is given by:

x_{vertex}=\frac{-b}{2\,a}

which in our case becomes:

x_{vertex}=\frac{-b}{2\,a} \\x_{vertex}=\frac{48}{2\,(3)} \\x_{vertex}=\frac{48}{6} \\x_{vertex}=8

Then, the equation of the axis of symmetry for this parabola is:

x=8

4 0
4 years ago
How many times can 70 fit into 167. It is OK if it is rounded to the closest number of 167.
balu736 [363]

Answer:

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Step-by-step explanation:

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-5 or less round the next number down.

3 0
3 years ago
How do you say the number 4.293?<br> Also, write two other forms of this number.
Elodia [21]
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8 0
4 years ago
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Let f(x) = –4x and g(x) = 5x2. Andrew finds the composition [f o g](x) as shown below. What error did Andrew make? = 5(–4x)2 = 5
Elden [556K]
F(g(x)) means you take the g function and put it into x in the f function.  He took the function and put it into the g, which was the incorrect order.  He should have had this: f(g(x))=-4(5x^2)
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Consider a group of 1,000 newborn infants. One hundred (100) infants were born with serious birth defects, and 20 of these 100 d
kozerog [31]

Answer:

The prevalence of serious defects in this population at the time of birth is 10%.

Step-by-step explanation:

The prevalence of serious defects is the number of infants that were born with seriours birth defects divided by the total number of infants born.

In this problem, we have that:

There were 1000 newborn infants.

100 infants were born with serious birth defects.

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This is:

P = \frac{10}{100} = 0.1

The prevalence of serious defects in this population at the time of birth is 10%.

8 0
3 years ago
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