F(x) = 2x^2+ 4x – 5 g() = 6x^3 – 2x^2 + 3 Find (f - g)(x).
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The graph illustrated is divided into three seperate sections namely <em>A, B and C,</em> the short story culled from the graph is described thus:
Rate of change or slope = (Rise/ Run)
- <em>Rise = y2 - y1 </em>
- <em>Run = x2 - x1 </em>
<u>SECTION A:</u><u> </u>
Slope = (40 - 0) ÷ (20 - 0) = 40/20 = 2
Distance traveled = 50 meters
<u>SECTION B</u> :
This section gives an horizontal line, hence, the slope is 0.
Distance covered = 0 ; as there was no change in the distance over the period of time.
<u>SECTION</u><u> </u><u>C</u><u>:</u>
Slope = (80 - 50) ÷ (70 - 60) = 30/10 = 3
The total distance traveled = 80 - 50 = 30 meters
<u>The total </u><u>distance</u><u> </u><u>and</u><u> </u><u>time spent traveling</u> :
Total distance traveled = (50 + 30) = 80 meters
Total time spent = 70 seconds (<em>time at the 80 meter mark</em>)
Hence, the story.
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The table is proportional and the constant of proportionality is 1.5
Step-by-step explanation:
Proportional relationships are relationships between two variables
where their ratios are equivalent
- One variable is always a constant value times the other
- The relation between the two variables represented graphically by a line passes through the origin point
The table:
→ x : 0 : 2 : 4 : 6
→ y : 0 : 3 : 6 : 9
To prove that y ∝ x find the ratio between each value of y with corresponding value of x
∵
∵
∵
∴
∴ k = 1.5
∵ The origin point is in the table
∴ y ∝ x
∴ The table is proportional
The table is proportional and the constant of proportionality is 1.5
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