Answer:
R(x) = -0.05x^2 +80x
Step-by-step explanation:
Given the two points (x, p), the equation for the price associated with a given demand quantity can be written using the 2-point form:
p = (p2 -p1)/(x2 -x1)(x -x1) +p1
p = (40 -50)/(800 -600)(x -600) +50
p = -0.05x +80 . . . . simplify
Then the revenue equation is ...
R(x) = xp
R(x) = -0.05x^2 +80x
In accordance with the function <em>velocity</em>, the car will have a complete stop after 6 seconds.
<h3>When does the car stop?</h3>
Herein we have a function of the velocity of a car (v), in feet per second, in terms of time (t), in seconds. The car stops for t > 0 and v = 0, then we have the following expression:
0.5 · t² - 10.5 · t + 45 = 0
t² - 21 · t + 90 = 0
By the <em>quadratic</em> formula we get the following two roots: t₁ = 15, t₂ = 6. The <em>stopping</em> time is the <em>least</em> root of the <em>quadratic</em> equation, that is, the car will have a complete stop after 6 seconds.
To learn more on quadratic equations: brainly.com/question/2263981
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Answer:
×=-2
Step-by-step explanation:
or, -2x+5=9
or, -2x=9-5
or, -2x=4
or, -x=4/2
or, -x=2
or, x=-2
Answer: C. At the α=0.05 significance level, they should conclude that more than 50% of adults support the tax increase.
Step-by-step explanation:
Given: Null hypothesis: 
Alternative hypothesis: 
p-value = 0.033
If the p-value is greater than alpha (p > . 05), then we fail to reject the null hypothesis.
If α=0.01 , then p-value > α i.e. we fail to reject the null hypothesis.
Conclusion: Exactly 50% of adults support the tax increase.
If α=0.05 then p-value < α i.e. we reject the null hypothesis.
Conclusion: more than 50% of adults support the tax increase.
Thus, Correct option: C .
175,000 is half way between 170,000 and 180,000
