1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Igoryamba
3 years ago
7

At time t ≥ 0, the velocity of a body moving along the s-axis is v = t² -5t +4. When is the body moving backwards

Mathematics
1 answer:
katovenus [111]3 years ago
7 0

Answer:

A

Step-by-step explanation:

The velocity of a moving body is given by the equation:

v=t^2-5t+4 ,\, t\geq0

Is the velocity is <em>positive </em>(v>0), then our object will be moving <em>forwards</em>.

And if the velocity is negative (v<0), then our object will be moving <em>backwards</em>.

We want to find between which interval(s) is the object moving backwards. Hence, the second condition. Therefore:

v

By substitution:

t^2-5t+4

Solve. To do so, we can first solve for <em>t</em> and then test values. By factoring:

(t-4)(t-1)=0

Zero Product Property:

t=1, \text{ and } t=4

Now, by testing values for t<1, 1<t<4, and t>4, we see that:

v(0)=4>0,\, v(2)=-20

So, the (only) interval for which <em>v</em> is <0 is the second interval: 1<t<4.

Hence, our answer is A.

You might be interested in
Which is an example of the associative property?
zhenek [66]

-5 + 7= 7 + (-5) they are the same just switched


3 0
3 years ago
Read 2 more answers
Sarah wrote the expression 12 ÷ 3 = 4 to represent the number of flowers in each row of Mrs. White’s garden. What is the number
yuradex [85]
It's called the "dividend". A dividend is a number to be divided by another number. The 3 is the divisor, a number by which another number is to be divided.
7 0
2 years ago
What are the following values from least to greatest 0 6 1/2 -1 9 can you help me pleaseeee​
alisha [4.7K]
-1, 0, 1/2, 6, 9 hope that helps
7 0
2 years ago
A random survey of 9th and 12th grade students was taken regarding the type of drink they liked to order at their local coffee s
san4es73 [151]

The table is shown below in the attached picture.

The grand total is the bottom rightmost cell, yellow in color.

12th graders AND likes specialty cold drinks is the cell colored green.

These 137 people are p% of the total. To get the value of p, we will divide this number (137) by grand total (750) and multiply by 100 to get the value.

\frac{137}{750} =0.183=18.3%.

Rounded to the nearest percent, it is 18%. Answer choice D is correct.


ANSWER: D

5 0
3 years ago
Fifty-four is what<br> % of 60.
Rom4ik [11]

Answer:

I'm pretty sure it's 90%

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Other questions:
  • Determine the graph foci and asymptote equation of x^2/4-y^2=1
    6·2 answers
  • If () = 225, then what is ? () denotes the th square number.<br><br><br><br> n=______
    9·1 answer
  • How do you add fractions? 8 1/2 + 7 1/4
    14·1 answer
  • What is 13\15-1\5 and what is the simplified answer
    7·1 answer
  • Daisy's mom is 4 times as old as she.The sum of their ages 6 years ago was 28.How is her mother now?​
    5·1 answer
  • Kevin won to gold fish a the county fair he put them in a bowl that hold 2 liters of water the next day he put them in a bowl th
    11·1 answer
  • I seriously need help
    9·1 answer
  • PLEASE HELP MEEEEEEREEEE ​
    5·2 answers
  • ANSWER PLEASE
    10·1 answer
  • Greg deposited $4000 into an account with a 9.8% annual interest rate, compounded semiannually. Assuming that no withdrawals are
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!