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
Yakvenalex [24]
3 years ago
15

The Chang family is on their way home from a cross-country road trip. During the trip, the function D (t) = 3260 - 55t can be us

ed to model
their distance, in miles, from home after t hours of driving.
part a:find D(12) and interpret the meaning in the context of the problem. part b: if D(t) =2490, find the value of t and interpret its meaning in the context of the problem
Mathematics
1 answer:
Lilit [14]3 years ago
5 0

Answer:

See below.

Step-by-step explanation:

D(t) = 3260 - 55t

The function that shows their distance from home as a function of time shows that they started 3260 miles from home and are driving at 55 miles per hour.

part a:

D(12) = 3260  55(12)

D(12) = 3260 - 660

D(12) = 2600

Interpretation: After 12 hours of driving home, they are 2600 miles from home.

part b:

D(t) = 2490

3260 - 55t = 2490

-55t = -770

t = 14

Interpretation: When they are 2490 miles from home, they have driven for 14 hours.

You might be interested in
Given the function f(x) = log3 (x + 1), determine f^−1(2).
zavuch27 [327]
Given:  <span>f(x) = log3 (x + 1), look for f^-1 (2)

We are looking for the inverse of a function. The inverse of the function can be obtained by switching the variables and obtaining the values of the new function, before substituting f(2). Using a calculator:

</span><span>f^-1 (2) = 8</span>
6 0
3 years ago
2(x-5)=3(x+7) Show the process, please.
chubhunter [2.5K]

Answer:

-31

Step-by-step explanation:

(2×x) - (2×5) = (3×x) + (3×7)

2x-10 = 3x+21

2x-3x = 21+10

-x = 31

therefore, x = -31

5 0
4 years ago
Read 2 more answers
PLEASE HELP AND HURRY
kogti [31]

Here the given expression is

y =(\frac{3}{4})^x

We need to find the value of y when x =3 . So we substitute the value of x in the given expression.

y =(\frac{3}{4})^3 = \frac{27}{64} =0.4

So when x=3, y=0.4 and that's the required answer.

6 0
3 years ago
Is 3/10 greater than 5/10
storchak [24]

3 of anything is almost always less than 5 of the same thing.
That's true for cows, rocks, trees, fish, salt-shakers, and babies.
I can't think of any object where it wouldn't be true.
Why wouldn't it be true for tenths ?

Let me say it another way:

No.  3/10  is <em>less than</em>  5/10 .


3 0
3 years ago
Read 2 more answers
Find the value of<br> 3a²-4ab-26² when A= -1 and b-4
nata0808 [166]

Answer:

-657

Step-by-step explanation:

a= -1\\b= 4\\

Substituting the value of a and b

3a^{2}-4ab-26^{2}  \\3(-1)^{2} -4(-1)(4)-676\\3-4(-4)-676\\3+16-676\\19-676\\-657

The value of    3a²-4ab-26²  is -657

4 0
4 years ago
Other questions:
  • 0.3 is equivalent to 3/100
    5·1 answer
  • NEED HELP PLEASE: Four shaded circles, each of radius 4 feet, are packed in a square as shown. Suppose you drop a coin onto the
    10·1 answer
  • Increase £14187.13 by 14.5%
    6·2 answers
  • Explain how the expression 19√2+2√8 can be simplified using the distributive property.
    10·1 answer
  • Please help me in this
    10·1 answer
  • Which two prime numbers' product is 226
    11·2 answers
  • Pleaseeeee help meee
    12·2 answers
  • Pleaseee answer thisss!!
    8·2 answers
  • Si el examen tenia 44 puntos y saque 40 ¿Que nota tengo?
    9·1 answer
  • What is another way to name the plane ACE?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!