Which statements describe the graph of y = 3x - 1+2? Select three options.
2 answers:
Answer:
<h2>The graph has a domain of all real numbers.</h2><h2>The graph has a y-intercept at (0, 1).</h2>Step-by-step explanation:
The given function is
This is linear function, the domain and range of linear functions are always all real numbers, because they don't have any kind of restriction. So, the first option is right.
In addition, linear function are represented by a line which has interceptions with each axis. The interceptions with the vertical axis is when :
So, the fourth option is right,
Similarly, the interception with the horizontal axis is when :
This means the last option is not correct.
Therefore, all options that apply are
- The graph has a domain of all real numbers.
- The graph has a y-intercept at (0, 1).
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Answer:
B. -1
Step-by-step explanation:
x^3-4x^2+2x+10=x^2-5x-3
We know it has 3 roots since it is a 3rd degree polynomial.
Two of the roots are (3+2i) and (3-2i)
Subtract x^2-5x-3 from both sides
x^3-4x^2+2x+10-(x^2-5x-3)=x^2-5x-3 -(x^2-5x-3)
Distribute the minus sign
x^3-4x^2+2x+10-x^2+5x+3=x^2-5x-3 -x^2+5x+3
x^3 -5x^2+7x +13 =0
Graphing this equation , we see that it crosses the x axis at x=-1
That covers the three roots, 1 real and two complex
Equation in slope-intercept form of the line that passes through (6,-2) and (12,1) is:
Step-by-step explanation:
Given points are:
(x1,y1) = (6,-2)
(x2,y2) = (12,1)
The slope intercept form is:
We have to find the slope first
Putting the value of slope
To find the value of b, putting (12,1) in the equation
Putting the values of m and b
Hence,
Equation in slope-intercept form of the line that passes through (6,-2) and (12,1) is:
Keywords: Equation of line, slope-intercept form
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