The function f(t) = 2t2 + 3t - 1 can be used to determine the position of a worm, f(t), in centimeters, after t seconds. Find th
1 answer:
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Answer:
p = - 5, p = - 1
Step-by-step explanation:
Given
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=
Multiply through by the LCM of (p - 5)(p + 3)
3p(p + 3) - 2(p - 5) = p(p - 5) ← distribute parenthesis
3p² + 9p - 2p + 10 = p² - 5p
3p² + 7p + 10 = p² - 5p ( subtract p² - 5p from both sides )
2p² + 12p + 10 = 0 ← divide through by 2
p² + 6p + 5 = 0 ← in standard form
(p + 1)(p + 5) = 0 ← in factored form
Equate each factor to zero and solve for p
p + 1 = 0 ⇒ p = - 1
p + 5 = 0 ⇒ p = - 5
Answer:
Step-by-step explanation:
slope-intercept form: y = mx + b
y = (x , y)
x = (x , y)
m = slope = 1/2
b = y-intercept = 89
Plug in the corresponding numbers & variables to the corresponding variables:
y = (1/2)x + 89
is your answer.
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