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3 years ago

Where is point z on the number line?

Mathematics

2 answers:

Evgen [1.6K]3 years ago

7 0

Z on the number line is -8

neonofarm [45]3 years ago

5 0

On the number line point z is on -8

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A particle moves along the x-axis so that at time t its position is given by s(t) = (t + 1)(t - 3)3, t > 0. /p>For what va

Zepler [3.9K]

Given the position function, the velocity function is obtained by taking the derivative:

$s(t)=(t+1)(t-3)^3\implies v(t)=(t-3)^3+3(t+1)(t-3)^2$

The velocity is increasing its own derivative is positive, so we also have to find the acceleration by taking another derivative:

$a(t)=4(t-3)^3+3(t-3)^2+6(t+1)(t-3)$

To find when $a(t)>0$ , we first need to know where $a(t)=0$ :

$4(t-3)^3+3(t-3)^2+6(t+1)(t-3)=(t-3)\bigg(4(t-3)^2+3(t-3)+6(t+1)\bigg)=(t-3)(4t^2-15t+33)=0$

The quadratic factor is always positive (its discriminant is negative), which leaves one solution at $t=3$ . To either side of $t=3$ , we have, for instance,

$a(2)=-12$

$a(4)=36>0$

which indicates that $v(t)$ is increasing for $t>3$ , making the answer A.

5 0

3 years ago

Multi step equations for 20= x + 1

vekshin1

Answer:

x = 19

Step-by-step explanation:

just subtract 1 from both sides of the equation

5 0

4 years ago

ANSWER ONLY IF YOU KNOW ( no links or ill report you)

Elis [28]

Step-by-step explanation:

$C=2\pi r$

$C=2*\pi *28$

$C=56\pi$

Yes, it is because the circumference is always $2\pi$ times the amount of the radius.

4 0

3 years ago

A missile travels at a constant rate of 15,000

Alex777 [14]

Answer: 1000 hours.

Step-by-step explanation: To travel 9 x 10^8 feet, it would take (9 x 10^8)/15000 minutes. This equals 60000 minutes. We divide this number by 60 to convert to hours. This equals 1000 hours.

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3 years ago

On Monday, Aisen fundraised $75 for a charity. On Friday, Aisen fundraised $525. Was this a percent increase or decrease?

r-ruslan [8.4K]

Answer:increase

Step-by-step explanation:

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3 years ago