T = 4. first, you can add 2 to both sides of the equation. you get 4t = 16. then, you can divide both sides by 4 to isolate t.
Answer:
y = 11(x -1) +6
Step-by-step explanation:
The slope at the given point is ...
y' = 14x -3x^2 = 14(1) -3(1^2) = 11
Then the point-slope equation for the line can be written as ...
y = m(x -h) +k . . . . . . for slope m at point (h, k)
y = 11(x -1) +6
The area of triangle BXA is 15*sqrt(2).
From the conversation it can be inferred that Paul's approach to getting on the horse is methodical (option c).
<h3>What is methodical behavior?</h3>
A methodical attitude or behavior refers to the preference of people to use an organized method and sequences to perform an activity correctly.
According to the above, it can be inferred that Paul behaves in a methodical manner because he prefers to relate to the horse slowly and in a controlled manner before proceeding to mount it.
Learn more about methodical in: brainly.com/question/14560322
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Answer: (B) The price elasticity of demand for good Z = 0.86
Step-by-step explanation:
The formula for determining elasticity of demand by using the midpoint method is
(Q2 - Q1)/[(Q2 + Q1)/2] / (P2 - P1)/[(P2 + P1)/2]
Where
P1 is the initial price of the item.
P2 is the final price of the item.
Q1 is the initial quantity demanded for the item.
Q2 is the final quantity demanded for the item.
From the information given,
P1 = 10
P2 = 15
Q1 = 85
Q2 = 60
The price elasticity of demand for good Z = (60 - 85)/[(60 + 85)/2] / (15 - 10)/[(15 + 10)/2]
= (-25/72.5) / (5/12.5) = -25/72.5 × 12.5/5
= - 312.5/362.5 = - 0.86
