What is the first step in solving In(x - 1) = In6 - Inx for x?
1 answer:
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Answer:
The correct option is first graph.
Therefore,
The two points for the line y+5=-2(x-4) ( red color )line are
point A( x₁ , y₁) ≡ ( 0 , 3) .......Blue color
point B( x₂ , y₂) ≡ ............Green color
The Graph is attached below.
Step-by-step explanation:
Given:
Which can also be written as
.....Equation of line
Let the points be point A, and point B
To Find:
point A( x₁ , y₁) ≡ ?
point B( x₂ , y₂) ≡ ?
Solution:
For Drawing a graph we require minimum two points but we will have here three points.
For point A( x₁ , y₁)
Put x = 0 in the given equation we get
y = -2 × 0 +3
y =3
∴ y = 3
∴ point A( x₁ , y₁) ≡ ( 0 , 3)
For point B( x₂ , y₂)
Put y = 0 in the given equation we get
0 = -2x + 3
∴ point B( x₂ , y₂) ≡
Therefore,
The two points for the line y+5=-2(x-4) ( red color )line are
point A( x₁ , y₁) ≡ ( 0 , 3) .......Blue color
point B( x₂ , y₂) ≡ ............Green color
The Graph is attached below.
Answer:
The probability that a random sample of 10 second grade students from the city results in a mean reading rate of more than 96 words per minute
P(x⁻>96) =0.0359
Step-by-step explanation:
<em>Explanation</em>:-
<em>Given sample size 'n' =10</em>
<em>mean of the Population = 90 words per minute</em>
<em>standard deviation of the Population =10 wpm </em>
<em>we will use formula</em>
<em> </em><em></em>
<em>Let X⁻ = 96</em>
Z = 1.898
<em>The probability that a random sample of 10 second grade students from the city results in a mean reading rate of more than 96 words per minute</em>
<em></em><em></em>
<em> = 1- P( Z ≤z⁻)</em>
<em> = 1- P(Z<1.898)</em>
= 1-(0.5 +A(1.898)
= 0.5 - A(1.898)
= 0.5 -0.4641 (From Normal table)
= 0.0359
<u><em>Final answer</em></u>:-
The probability that a random sample of 10 second grade students from
= 0.0359
Given:
The system of inequalities:
To find:
The point that represents a solution to the system by using the graph.
Solution:
We have,
The related equations of these inequalities are:
The line is a vertical line that intersect the x-axis at 3.
The table of values for is:
x y
0 -5
1 -3
Plot (0,-5) and (1,-3) on a coordinate plan and connect them by a straight line.
The boundary lines are dotted lines because the points on the lines are not included in the solution set.
Check the inequalities for (0,0).
First inequality: ( False)
Second inequality:
(False)
Both inequalities are false for (0,0). It means the shaded region of the lines is in the opposite direction of (0,0).
Plot the shaded region and the points (-3, -1), (1, 11), (4, -1), (5, 6) as shown in the below graph.
From the below graph, it is clear that the point (4,-1) is the only point lies in the common shaded region. So, (4,-1) represents a solution to the system.
Therefore, the correct option is C.
