Answer:
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It's a linear function. We need only two points to sketch the graph.
f(x) = -5x + 4 → y = -5x + 4
for x = 0 → y = -5(0) + 4 = 0 + 4 = 4 → (0, 4)
for x = 1 → y= -5(1) + 4 = -5 + 4 = -1 → (1, -1)
The domain and the range is the set of all real numbers.
Answer:
4metres
Step-by-step explanation:
Given the height of the trail modeled by the function h(x) = -0.1x^2 - 0.3x +2.8 , where x is the horizontal distance in kilometers
The horizontal distance occurs at the x intercept i.e at h(x) = 0
Substitute
0 = -0.1x^2 - 0.3x +2.8 ,
Multiply through by -10
0 = x^2 + 3x - 28
x^2 + 3x - 28 = 0
Factorize
x^2 + 7x - 4x - 28 = 0
x(x+7) - 4 (x+7) = 0
(x-4)(x+7) = 0
x-4 = 0 and x+7 = 0
x = 4 and -7
Since the danced cannot be negative, hence the horizontal distance of the trail is 4m
Hi there!
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I believe your answer is:
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Here’s why:
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Hope this helps you. I apologize if it’s incorrect.