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podryga [215]
3 years ago
8

Slope form m=-3 (-2,1)​

Mathematics
1 answer:
Hunter-Best [27]3 years ago
7 0

Answer:

y = -3x - 5

Step-by-step explanation:

y - 1 = -3 (x + 2)

y - 1 = -3x - 6

y = -3x -5

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A body moves s metres in a time t seconds so that s = t3 – 3t2 + 8. Find:
Lady bird [3.3K]

Using derivatives, it is found that:

i) v(t) = 3t^2 - 6t

ii) 9 m/s.

iii) a(t) = 6t - 6

iv) 6 m/s².

v) 1 second.

<h3>What is the role of derivatives in the relation between acceleration, velocity and position?</h3>
  • The velocity is the derivative of the position.
  • The acceleration is the derivative of the velocity.

In this problem, the position is:

s(t) = t^3 - 3t^2 + 8

item i:

Velocity is the <u>derivative of the position</u>, hence:

v(t) = 3t^2 - 6t

Item ii:

v(3) = 3(3)^2 - 6(3) = 27 - 18 = 9

The speed is of 9 m/s.

Item iii:

Derivative of the velocity, hence:

a(t) = 6t - 6

Item iv:

a(2) = 6(2) - 6 = 6

The acceleration is of 6 m/s².

Item v:

t for which a(t) = 0, hence:

6t - 6 = 0

6t = 6

t = \frac{6}{6}

t = 1

Hence 1 second.

You can learn more about derivatives at brainly.com/question/14800626

7 0
2 years ago
ABC city residents vote on construction of a new playground. The number of votes in favor of playground was 3500
zubka84 [21]

Answer:

70% in favor of building a new playground  

<em>3500 (</em><em>in favor</em><em>) + 1500 (</em><em>against it</em><em>) = 5000 (</em><em>total number votes</em><em>)</em>

<em />

<em>3500 (</em><em>in favor</em><em>)                                              1500 (</em><em>against it</em><em>)</em>

<em> -------------------    = 0.7 / 70%                          -------------------     =0.3 / 30%</em>

<em>5000 (</em><em>total</em><em>)                                                      5000 (</em><em>total</em><em>)            </em>

8 0
3 years ago
Y - x = 4<br><br><br> please help!!
UNO [17]
Add the x to both sides and it turns into Y = x + 4. If this isn't what you're looking for, please provide the answer choices.
6 0
4 years ago
What is 4^0 in exponential form?
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Anything to the power of 0 is just 1
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Jose and Kaitlyn have a contest to see who can throw a baseball the farthest. Kaitlyn wins, with a throw of 200 ft. If Jose thre
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