3 Coached Example
1 answer:
Since 8 is subtracted from z, add 5 to both sides.
z - 8 + 5 <span>≤ 5 + 8
z </span><span>≤ 13
</span>
Graph the solution set on the number line below.
(The Graph will be at the bottom of the page).
Since the symbol is <span>≤, draw a(n) less than circle or equal to circle at 13.
</span>
This shows that 13 is a solution.
Since all values less than 13 are also solutions, draw an arrow to the left.
The solution set for the inequality is z <span>≤ 13, its graph is shown above.</span>
z - 8 + 5 <span>≤ 5 + 8
z </span><span>≤ 13
</span>
Graph the solution set on the number line below.
(The Graph will be at the bottom of the page).
Since the symbol is <span>≤, draw a(n) less than circle or equal to circle at 13.
</span>
This shows that 13 is a solution.
Since all values less than 13 are also solutions, draw an arrow to the left.
The solution set for the inequality is z <span>≤ 13, its graph is shown above.</span>
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The original function is given by:
We apply the following transformation:
Horizontal displacements:
Suppose k> 0
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Applying the transformation for k = 4 we have:
Answer:
B. Right by 4 units
We apply the following transformation:
Horizontal displacements:
Suppose k> 0
To move the graph k units to the right, we must graph f (x-k)
Applying the transformation for k = 4 we have:
Answer:
B. Right by 4 units
Answer:
7.21 units
Step-by-step explanation:
The shortest length needed to connect the house to the existing pipeline is the perpendicular distance between the location of the house (2,9) and the line y = 2/3x - 1.
The perpendicular distance (d) between a point () and the line Ax + By + C = 0 is given as:
The line is given by y = 2/3 x - 1; 2/3x - y - 1 = 0. The point = (2, 9)
hence A = 2/3, B = -1, C = -1, . Therefore: