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
murzikaleks [220]
3 years ago
6

[50 Points (must answer in detail)] Imogene's car traveled 660 mi averaging a certain speed. If the car had gone 6 mph faster, t

he trip would have taken 1 hour less. Find the average speed.
Mathematics
1 answer:
Doss [256]3 years ago
5 0

Answer:

55 mph

Step-by-step explanation:

Speed = Distance/Time so Time = Distance / Speed.

If the first speed is x mph, the first trip will take 660/x hours.

The second trip will take 660/(x+5) hours.

We want to find x such that (660/x) - 660/(x+5) = 1 (i.e. solving this equation for x).

Multiply both sides by x*(x+5):

660*(x+5) - 660x = x*(x+5)

660x + 3300 - 660x = x2 + 5x

x2 + 5x - 3300 = 0

(x - 55)*(x + 60) = 0

So either x = 55 or x = -60. Since x > 0, x = 55mph.

You might be interested in
tabitha wants to find the total cost of a new tablet computer that has a origanall cost of $360 from a store having a 20% sales
Eva8 [605]

ANSWER: $432

STEP-BY-STEP EXPLANATION:

The cost of the tablet is $360

Then Tabitha has to pay 20% sales tax.

The tax is the prices times 20%  plus the original price

360 ( 1+ 0.2)

360 (1.2)

=432

8 0
3 years ago
Give an example of a 2x2 matrix without any real eigenvalues:___________
9966 [12]

Answer:

Step-by-step explanation:

An eigenvalue of n × n is a function of a scalar \lambda  considering that there is a solution (i.e. nontrivial) to an eigenvector x of Ax =  

Suppose the matrix A = \left[\begin{array}{cc}-1&-1\\2&1\\ \end{array}\right]

Thus, the equation of the determinant (A - \lambda1) = 0

This implies that:

\left[\begin{array}{cc}-1-\lambda &-1\\2&1- \lambda\\ \end{array}\right] =0

-(1 - \lambda^2 ) + 2 = 0

-1 + \lambda ^2 + 2= 0

\lambda^2 +1 =0

Hence, the eigenvalues of the equation are \mathtt{\lambda = i , -i}

Also, the eigenvalues can be said to be complex numbers.

3 0
3 years ago
For the function f(x) = (x − 2)2 + 4, identify the vertex, domain, and range. a. The vertex is (–2, 4), the domain is all real n
12345 [234]
f(x)=a(x-h)^2+k \Rightarrow \text{vertex}=(h,k)\\\\
f(x)=(x-2)^2+4 \Rightarrow \text{vertex}=(2,4)

The range of f(x)=a(x-h)^2+k is
y\leq k for a
y\geq k for a>0

The domain of any quadratic function is all real numbers.

In f(x)=(x-2)^2+4, a=1\ \textgreater \ 0, so the range is y\geq4

So it's D.






7 0
3 years ago
How do you convert 75 cents to hours in 1 day to dollars
Paha777 [63]
75 cents = $0.75
1 day = 24 h
$0.75 · 24 = $18
<span>Answer: 75 cents/h = </span><span>18 dollars/day </span>
6 0
3 years ago
How do write 841, 620 in three different ways?
lesya [120]

Answer:

1) 841,620

2) 800,000+40,000+1,000+600+20

3) Eight hundred forty-one thousand, six hundred twenty

Hope this helps!

5 0
3 years ago
Other questions:
  • Solve P=2I+2w for I.
    8·1 answer
  • Graph the lines by finding the points of intersection with the axes (intercepts): y=2.5x+5
    7·1 answer
  • Which one of the following decimals is the largest? .345, .33, .332, .35        A. .345   B. .35   C. .33   D. .332
    5·1 answer
  • Is this correct? PLEASE HELP ASAP TYSM
    8·1 answer
  • The equation h(t)=−16t2+78t+45 gives the height of a firework, in feet, t seconds after it is launched from a platform. What is
    9·2 answers
  • What is 2000 - 296 equal ​
    9·2 answers
  • A plane flying with a constant speed of 14 km/min passes over a ground radar station at an altitude of 4 km and climbs at an ang
    9·1 answer
  • What is the decimal equivalent of 8%
    6·1 answer
  • Select the correct answer.<br> Which graph represents this equation?<br> Y=3/2x to the second -6x
    14·1 answer
  • What is 0.45 divide by 0.3 please show work.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!