Answer:
The key features of any function can be compared in tables and graphs by creating the matching graph for the function. Then, you can compare the different aspects of the graph. When you add a constant to an exponential graph, it will be translated up or down.
hopethishelps......
Answer:
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Step-by-step explanation:
(a)the equation of the straight line CBD
(b)the-x intercept of the straight line DQ
Answer: (a) y = -3x + 10
Step-by-step explanation:
The slope of line CD is perpendicular to line OB, which means they have opposite and reciprocal slopes.
Step 1: Find the slope of OB using the formula:
(x₁, y₁) = (0, 0) and (x₂, y₂) = (3, 1)
Step 2: Find the slope of CD (opposite and reciprocal of OB)
Step 3: Input the perpendicular slope and the slope into the Point-Slope formula: y - y₁ = m(x - x₁)
(x₁, y₁) = (3, 1) because it is the point the line will pass through
y - 1 = -3(x - 3)
y - 1 = -3x + 9 distributed -3 into (x - 3)
y = -3x + 10 added 1 to both sides
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The x-intercept of DQ is the same x-intercept as CD. The x-intercept is when y = 0
y = -3x + 10
0 = -3x + 10
-10 = -3x subtracted 10 from both sides
divided both sides by -3