MATHEMATICS COLLEGE

1-1 Relations and Functions Marcus drives 32 miles to work each day. He records the number of minutes it takes him to drive and writes his average speed as the input and the number of minutes as the output. He recorded his information in a table, like the one shown below. Speed (mph) Time (minutes) 60 32 45 43 55 35 50 38 62 31 If Marcus drives no faster than 65 miles per hour, what is the domain that includes all possible average speeds using interval notation? O A. [0, 65] B. [65,-) O C. (0, 65) D. (65,-)​

Answers

Answer 1
Answer:

Answer:

A. [0, 65]

Step-by-step explanation:

Given that

Distance that Marcus drives every day = 32 miles.

The table having average speed as input and time taken as output is shown below in the table format:

\begin{center}\begin{tabular}{ c c}Speed(mph) & Time(minutes) \n 60 & 32 \n 45 & 43 \n 55 & 35 \n 50 & 38 \n 62 & 31 \n\end{tabular}\end{center}

To find:

The domain that includes all possible average speeds using interval notation = ?

Solution:

First of all, let us understand what is a domain of a function.

Domain of a function is set of valid input values that can be provided to the function so that it has a valid output.

If a function is written as:

y=f(x) then values of x are the input given to the function.

In the given question statement, we are given that maximum Average speed attained by Marcus is 65 miles per hour.

That means domain has a maximum value of 65.

Let us learn something about interval notation.

( or ) means the value is not inclusive.

[ or ] means the value is inclusive.

Here 65 will be inclusive.

On the left side of comma, lower value is written and on the right side of comma, larger value is written.

So, domain for the current situation will be:

[0, 65]

0 is taken as the minimum value of domain here, because average speed value can not be negative.

This interval will contain all the possible values of input (average speed) as shown in the above table of values.

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Five less than twice a number results in fifteen
-1/2 + (3/4 x 4/9) =
An airplane is flying with a constant altitude at a speed of 450 mph in a direction 10° north of west directly towards its final destination. The airplane then encounters wind blowing at a steady 34 mph in a direction 85° north of east. If the pilot does not correct his course after encountering the wind, at what speed and in what direction (counterclockwise from east) will the plane be traveling? Speed:  _____mph   Direction:______ °    If the airplane had encountered no wind at all, it would have reached its final destination in two hours along its original course. Assuming the pilot never corrected his course and that the wind continues to blow at the given speed and direction, how far from its final destination is the airplane after two hours of flying under the given conditions?____  miles   ​
P(q ÷ 3 - p ); use p = -6, and q= -3
A tank contains 300 liters of fluid in which 40 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pumped into the tank at a rate of 6 L/min; the well-mixed solution is pumped out at the same rate. Find the number A(t) of grams of salt in the tank at time t.

(1 point) The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation. Recently, Southwest Air had the best rate with 80 % of its flights arriving on time. A test is conducted by randomly selecting 20 Southwest flights and observing whether they arrive on time.

Answers

Answer:

No. Southwest flights did not arrive on time.

Step-by-step explanation:

Please see attachment

A tree has a height of 9 2/3 feet. What is the height of the tree after it grows 1 1/4 feet?8 1/7 feet
8 5/12 feet
10 3/7 feet
10 11/12 feet

Answers

Answer: 10 11/12 feets

Step-by-step explanation:

The tree has a height of 9 2/3 feet. We will be converting the mixed fraction to improper fraction, it becomes 29/3 feet's. So the tree has a height of 29/3 feets.

The tree grows an additional 1 1/4 feet. We would be converting it from mixed fraction to improper fraction. It becomes 5/4

To determine the new height of the tree, we would add the previous height + the growth in height of the tree. It becomes 29/3 + 5/4 = 131/12

We would convert from improper fraction to mixed fraction. It becomes

10 11/12 feets

Find the unit rate.3
1
4
gallon for every
mile
10
The unit rate is
gallon :
mile.

Answers

Answer:

22/40

Step-by-step explanation:

find the equivalent ratio of 4 and 10 and it is 40 so the then you multiply 4 times 10 and 10 times 4 then you multiply 1x10 and 10x4 so now your new problem will be

10/40+12/40 which is 22/40=1 8/15

Find the zeros of the function
k(x) = -5x² - 125
The zeros of k are x= □ and x= □​

Answers

Answer:

x = ±5i

General Formulas and Concepts:

Pre-Alg

  • Order of Operations: BPEMDAS

Alg II

  • √-1 is imaginary number i

Step-by-step explanation:

Step 1: Define function

k(x) = -5x² - 125

Step 2: Find roots

  1. Set function equal to 0:                    0 = -5x² - 125
  2. Factor out -5:                                     0 = -5(x² + 25)
  3. Divide both sides by -5:                    0 = x² + 25
  4. Subtract 25 on both sides:               -25 = x²
  5. Rewrite:                                              x² = -25
  6. Square root both sides:                     x = ±√-25
  7. Rewrite:                                              x = √-1 · ±√25
  8. Evaluate:                                             x = ±5i

Someone please answer!

Answers

Answer:

m=1/2

Step-by-step explanation:

y1= 1

y2=6

x1= -10

x2-0

m= slope

m= y2-y1/x2-x1

m=6-1/0 - - 10

m= 6-1/0+10

m=5/10

m=1/2

Mort is trying to save money to get out of student debt he saves money each month from his paycheck the function below relates money saved x in thousands of dollars to mouth since graduation, y.y=3x-7
identifying the slope and intercept and describe what each mean in the context​

Answers

Answer:

hello your answer is 21  y=21

Step-by-step explanation:

3 times -7 is 21- hope i helped

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