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
const2013 [10]
3 years ago
9

The table below represents the velocity of a car as a function of time:

Mathematics
2 answers:
Naddik [55]3 years ago
7 0
A)The y-intercept is 50 because when X=0, y=50. This shows that the car was moving at 50 mph as an initial speed.

B) in two hours (from 1 to 3) the speed increased by 4 miles per 2hours. (from 52 to 56). 4/2 = 2 mph, which is the average rate of change. This represents the amount of speed increased each hour.

C) y=2x+50, and y=60 in this case, so 60=2x+50
60=2x+50
-50 -50
-----------------
10=2x
5=x, so the domain is X<=5 (less than or equal to 5)
konstantin123 [22]3 years ago
5 0

Answer:

Part A: The y-intercept of the function is 50. It means the initial velocity is 50 miles/hours.

Part B: The average rate of change of the function represented by the table between x = 1 to x = 3 hours is 2. It means the velocity increases by 2 miles per hour.

Part C: If the velocity of the car is 60 miles/hour, then the domain is 5.

Step-by-step explanation:

Part A:

From the given table it is clear that at x=0 the value of y is 50.

It means the y-intercept of the function is 50. It represents that the initial velocity is 50 miles/hours.

Part B:

From the given table it is clear that at x=1 the value of y is 52 and at x=3 the value of y is 56. It means the graph passes through two points (1,52) and (3,56).

The average rate of change of the function is

m=\frac{y_2-y_1}{x_2-x_1}=\frac{56-52}{3-1}=\frac{4}{2}=2

The average rate of change of the function represented by the table between x = 1 to x = 3 hours is 2. It means the velocity increases by 2 miles per hour.

Part C:

The slope intercept of a line is

y=mx+b

Where, m is slope and b is y-intercept.

The slope of the function is 2 and y-intercept is 50, therefore the equation of function is

y=2x+50

Put y=60 in the above equation, to find the domain at velocity 60 miles/hours.

60=2x+50

Subtract 50 from both the sides.

60-50=2x

10=2x

Divide both sides by 2.

\frac{10}{2}=x

5=x

Therefore the domain is 5 if velocity is 60 miles/hours.

You might be interested in
Law of sines: Sinca) = sin(B) = sin(C)
ioda

Answer:

no trangles can be formed

Step-by-step explanation:

We have been given angle A as 75 degrees and sides a = 2 and b = 3.

Using Sine rule, we can set up:

sin(a)                    sin(b)

------------      =       ------------

A                              B

Upon substituting the given values of angle A, and sides a and b, we get:

sin(75)                   sin(B)

------------      =      ------------

2                                3

Upon solving this equation for B, we get:

----->3sin(75)=2sin(B)

----->sin(B)=3sin(75)

                  -------------

                      2

------>sinB=1.4488

Since we know that value of Sine cannot be more than 1. Hence there are no values possible for B.

Hence, the triangle is not possible. Therefore, first choice is correct.

sorry I could not get to you sooner. please mark as brainliest

3 0
3 years ago
HELP
Ket [755]

Given the radius of 50 miles and the line joining the cities at (0, 56) and (58, 0), the transmitter signal can be picked during 59.24 miles of the drive.

<h3>How can the duration of signal reception be found?</h3>

Radius of broadcast of the transmitter = 50 miles

Location of starting point = 56 miles north of the transmitter

Location of destination city = 58 miles east of the transmitter

Therefore we have;

Slope of the line joining the two cities

= 56 ÷ (-58) = -0.966

Which gives the equation of the line as follows;

y = -0.966•x + 56

The equation of the circle is;

{x}^{2}  +  {y}^{2}  =  {50}^{2}

{x}^{2}  +  { ( - 0.966x + 56)}^{2}  =  {50}^{2}

1.933156•x^2 - 108.192•x + 636 = 0

Which gives;

  • x = 6.67 or x = 49.29

Therefore;

When x = 6.67, we have;

  • y = -0.966 × 6.67 + 56 = 49.56

When x = 49.29, we have;

  • y = -0.966 × 49.29 + 56 = 8.4

The length of the drive, during which the driver can pick the signal, <em>l</em>, is therefore;

l = √((49.56-8.4)^2 + (49.29-6.67)^2) = <u>59.24 miles</u>

  • The length of the drive during which the signal is received is 59.24 miles

Learn more about the equation of a circle here:

brainly.com/question/502872

#SPJ1

5 0
2 years ago
In a chess tournament, each player plays every other player exactly once. If it is known that 105 games were played, how many pl
diamong [38]

Answer:

15 players played in the chess tournament.

Step-by-step explanation:

When there are 15 players, the first player plays 14 games and step aside.

remaining 14 player

next player plays 13 games. steps aside

remaining 13 players

next player plays 12 games. steps aside

remaining 12 players

next player plays 11 games. steps aside

remaining 11 players

.

.

.

.

Last player plays 1 game and steps aside

remaining 1 player who will not play against himself.

∴ Sum of all games played

= 14 + 13 + 12 + 11 + 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 105 games played

3 0
3 years ago
you ask 40 students which of three items from the cafeteria they like best 30% of the student picked pizza how many students pic
beks73 [17]

Answer:

12

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Joe has $70 in a savings account. The interest rate is 10% per year and is not compounded,
sladkih [1.3K]

Answer:

$28

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 10%/100 = 0.1 per year,

then, solving our equation

I = 70 × 0.1 × 4 = 28

I = $ 28.00

The simple interest accumulated

on a principal of $ 70.00

at a rate of 10% per year

for 4 years is $ 28.00.

8 0
3 years ago
Other questions:
  • Pls help! answer will get brainliest
    7·1 answer
  • 8/18 write fraction as decimal. Use bar notation if necessary
    11·1 answer
  • Which expression is equivalent to the area of metal sheet required to make this square-shaped traffic sign? 4x + 3 (is presented
    11·1 answer
  • What is the equation of the graphed line written in
    7·2 answers
  • A company produces boxes of dvds of a rate at 52 boxes per hour. they begin to produce boxes when they first open for the day an
    7·1 answer
  • The sales tax in Sandra's town is 6.5%. If she buys 2 shirts for $23.99 each and a pair of shoes for $41.99, how much sales tax
    15·1 answer
  • Pregunta 7 (1 punto)
    6·1 answer
  • PLEASE HELP I WILL MARK BRAINEST JUST HELP PLEASE!!!!!
    15·2 answers
  • Is 3n a cubic a quadratic a linear or none of these​
    6·1 answer
  • Help asap!!! 50 points total if u get big brain! elect the expressions that are equivalent to 10 + 2x + 5y + 3x.
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!