The inequality of the graph that is given is: y < 2x - 3.
<h3>How to Write the Inequality of a Graph?</h3>
First find the slope (m) = rise / run of the line.
Rise = 2 units
Run = 1 unit
Slope (m) = 2/1 = 2
Y-intercept (b) = -3.
Since the shaded side is at the left, we are going to use the ">" sign. Substitute m = 2 and b = -3 into y < mx + b.
y < 2x - 3
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Answer:
Step-by-step explanation:
<u>Geometric Sequences</u>
The geometric sequence is given as:
Where n is the number of the term, n≥1, and r is the common ratio.
The sum of n terms of the geometric sequence is given by:
We are given: S3=252, a1=192, thus substuting:
Dividing by 12:
Recall that:
Substituting:
Simplifying:
Rearranging:
16r^2+16r-5=0
Rewriting:
Factoring:
Solving:
Both solutions are valid
The equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12) is y = -5x + 1
<h3>Equation of a line</h3>
A line is the distance between two points
Given the equation of a line expressed as 10x + 2y = -2. Determine the slope
2y = -10x -2
y = -5x - 1
Slope of the line is -5
The equation of a line in point-slope form is y - y1 = m(x-x1)
Substitute the point and the slope of the parallel line
y - 12 = -5(x - 0)
y - 12 = -5x
y = -5x + 12
Hence the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12) is y = -5x + 12
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Answer:
3/14
Step-by-step explanation:
P (B then B) = 4/8 x 3/7 or 1/2 x 3/7
