The graph shows a trip taken by a car, where t is the time (in hours) and y is the distance
(in miles) from Phoenix.


a. Find the y-intercept of the graph. What does it represent?
b. Find the slope of the graph. What does it represent? c. How long did the trip last? d. How far from Phoenix was the car at the end of the trip?
e. Write an equation that represents the graph

Answers

Answer 1

Answer:

The answer is below

Step-by-step explanation:

The equation of a graph of a linear function is in the form:

y = mx + b;

where m is the slope of the graph, b is the y intercept, y and x are the variable.

Since y represent distance on y axis and t represent time on the x axis. We see that the graph passes the points:

(0, 100) and (6, 400). The equation of the graph is:

[tex]y-y_1=\frac{y_2-y_1}{t_2-t_1}(t-t_1) \\\\y-100=\frac{400-100}{6-0}(t-0)\\\\y-100= 50t\\\\y=50t+100[/tex]

a) The y intercept is 0. This means that initially the car is at 100 miles from Phoenix before the trip started. i.e. at 0 hours the distance is 100 miles.

b) The slope of the graph is 50. It means that the car traveled at a speed of 50 miles per hour

c) The end point of the graph is (6, 400), meaning the trip lasted 6 hours

d) The end point of the graph is (6, 400), meaning at the end of the trip, the car was 400 miles from Phoenix.

The Graph Shows A Trip Taken By A Car, Where T Is The Time (in Hours) And Y Is The Distance (in Miles)

Related Questions

What is X...

What is Y....

Answers

Answer:

x = 110

y = 40

Step-by-step explanation:

m∡5 = 30° because it forms a linear pair with ∡6, which is 150°

x + y = 150  (angles 4 and 6 are alternate-interior and are congruent)

angles 3 and 6 are same-side interior and are supplementary

therefore:  x -2y = 180-150

if x + y = 150 we can say that x = 150 - y

we can plug '150-y' for 'x' in x - 2y = 30

150-y - 2y = 30

-3y = -120

y = 40

x = 110

HELP ME PLS NOW I NEED YOU PPLS BRAINS

Answers

Since it has a line under > that means it equal to 7 and x is bigger than 7 so 8, 9, 10... so right
The second answer

Answer:

C and D

Step-by-step explanation:

I went to a website (https://mathbitsnotebook.com/JuniorMath/Equations/IQBasicInequalities.htm) and double-checked what the correct answers were. I apologize for the hassle I may have caused you.

Find the slope of the line that passes through A(0,−5) and B(3,−4)

Answers

Answer:

1/3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-4-(-5))/(3-0)

m=(-4+5)/3

m=1/3

Find X pls thanks so much

Answers

Answer: X= 16.83 or 17 rounded

Step-by-step explanation:

Sin63 degrees= 15/x so to solve for x divide 15 by sin 63

[tex]\frac{15}{sin63}[/tex]=16.83

Please answer. Mb bro.

Answers

Answer:

you know this was learned in 5th grade right

Step-by-step explanation:

Not totally sure but you’d do something like this -

108 = (2x + x) 8 / 2

3 to the power of 15 is how many times larger than 3 to the power of 12

Answers

Answer:

27

Step-by-step explanation:

[tex] \dfrac{3^{15}}{3^{12}} = 3^{15-12} = 3^3 = 27 [/tex]

Answer: It is 27 times larger.

Answer:

3 to the 15 power is 14,348,907. 3 to the 12 power is 531,441 and 531,441 x 27 is 14348907 the same as 3 to the 15 power.

Step-by-step explanation: soooooo just control C control V the answer.

The first step to use to solve for the missing side?

Answers

Answer:

9√2.

Step-by-step explanation:

Distance of the diagonal

= √(9^2 + 9^2 )   (Using Pythagoras Theorem)

= √(162)

= 9√2

what number is 1/4 of 100

Answers

The number is 25
100/4

HELP PLEASE I NEED THIS HOMEWORK DONE BY TONIGHT!!

Answers

Answer:

x = 50°

Step-by-step explanation:

the sum of the exterior angles of any polygon is 360°

2x-12 + 32 + 2x + x + 90 = 360

5x + 110 = 360

5x = 250

x = 50

Find the difference of 58.2–27.674.
a. 30.652
b. 30.526
c. 35.026
d. 35.620

Answers

Answer:

B

Step-by-step explanation:

You just subtract

If X:Y = 4:5 and x+y=144, then the values of x and y respectively are
A= 74 and 70
B= 70 and 74
C= 80 and 64
D= 64 and 80​

Answers

Answer:

b

Step-by-step explanation:

domt knowsjsbjsodnsodndjdns

What is the equation of a line when the slope is -1/2 and the y-intercept is 0.

Answers

Answer:

y = -1/2x + 0

y = mx+b

Step-by-step explanation:

HELP ASAP!!!!! A circle is shown. Secant A D and tangent E D intersect at point D outside of the circle. Secant A D intersects the circle at point B. The length of A B is a, the length of B D is 10, and the length of D E is 12.
Which equation results from applying the secant and tangent segment theorem to the figure?

12(a + 12) = 102
10 + 12 = a2
10(a + 10) = 122
10(12) = a2

Answers

Answer:

C)

10(a + 10) = 12 2

Applying the secant-tangent segment theorem, the equation that will result using the figure given is: C. 10(a + 10) = 12².

What is the Secant-tangent Segment Theorem?

The secant-tangent segment theorem states that if a tangent and a secant intersect at a point outside a circle, then the square of the measure of the products of the secant segment and its external secant segment equals the square of the measure of the tangent segment.

Thus, using the figure given, the equation that results from applying the secant-tangent segment theorem would be: C. 10(a + 10) = 12²

Learn more about the secant-tangent segment theorem on:

https://brainly.com/question/26826991

#SPJ2

(12x -2) - (-3x + 4) anyone got the answer?

Answers

Answer:

15x - 6

Step-by-step explanation:

(12x -2) -1 (3x+4)

(12x - 2 + 3x-4

12x-2+3x -4

12x -6 + 3x

15x - 6

Please help! I’ll make brainliest

Answers

Answer:

Step-by-step explanation:

i think its The measure of bottom of ladder from bottom of building is 48

Answer:

48

Step-by-step explanation:

Hope it helps XD

Combine the like terms for the following expressions -3+4b-6g+5-7b

Answers

Answer:

-3b-6g+2

Step-by-step explanation:

if you combine like terms, it would be -3b-6g+2

the table shows running speeds of 10 randomly selected lions.

speed (miles per hour) 48, 45, 50, 44, 46, 45, 42, 47, 45, 48. based on the data

select the most reasonable prediction about the speed of the lion

A. the top speed of a lion is 48 miles per hour.
B. the typical lion runs at a speed of about 46 miles per hour.
C. the typical lion runs at a speed of about 40 miles per hour.
D. the typical lion runs at speeds greater than 50 miles per hour.

Answers

Answer:

I think B

Step-by-step explanation:

Find the average

Answer:

B

how i know: i took the test

Mya and her three friends bought 7 1/5 pounds of cherry sours at 1.30 per pound. If the cost of cherry sours id divided evenly among the 4 friends, how much will each person pay

Answers

Answer: Each person will pay $2.34.

Step-by-step explanation:

Given: Cost of one pound of cherries = $1.30

Cost of [tex]7\dfrac15[/tex] pounds of cherries  = [tex]7\dfrac15\times 1.30[/tex]

[tex]=\dfrac{36}{5}\times1.30[/tex]

= $9.36

Each person will pay = (Cost of [tex]7\dfrac15[/tex] pounds ) ÷ 4

[tex]=9.36\div4[/tex]

=$2.34

Hence, Each person will pay $2.34.

The price of the shirt is 40$ the sales tax is 8%
how much will he pay in taxes for the shirt
A. 8.00
B. 3.20
C.48.00
D. 5.20

Answers

Answer:

40*.08=3.2

$3.2

Answer:

B

Step-by-step explanation:

40 times 0.08%= 3.20

What is the answer to 2x^4 x x^3=

Answers

Use this. It’s really good

8. It takes Emory 3 hours to plant 12 flowers. How long should it take her to plant 40 flowers?

Answers

Answer:

9 hours

Step-by-step explanation:

12 times 3 is 40 so 3 times 3 is 9

Answer:

10

Step-by-step explanation:

takes one hour to plant 4

Complete the statements about the cone.
The height is units.
The radius is units.
The volume is Tot cubic units.
10
6

Answers

Answer:

The answers are:

The height is 6

The radius is 8

The volume is 128 π cubic units.

Step-by-step explanation:

The height is shown in the picture. So the first answer is 6.

To find the radius, you use the equation. [tex]\sqrt{slant height^{2}- height^{2} }[/tex] = radius

The slant height 10, and the height is 6. So you plug those into the equation and solve.

[tex]\sqrt{10^{2}-6^{2} }[/tex] =

[tex]\sqrt{100-36}[/tex] =

[tex]\sqrt{64}[/tex] = 8

So the radius is 8.

Now we use the equation [tex]\pi[/tex][tex]r^{2}[/tex] [tex]\frac{h}{3}[/tex] = volume.

[tex]\pi[/tex][tex]8^{2}[/tex] [tex]\frac{6}{3}[/tex] =

[tex]\pi[/tex]64 [tex]\frac{6}{3}[/tex] =

[tex]\pi[/tex] 64(2) = 128 [tex]\pi[/tex] cubic units

I hoped this helped you. I would love brainiest.

The statements about the cone is that,

The height is 6 units, the radius is 8 units and the volume is 128π cubic units.

What is Volume?

Volume of a three dimensional shape is the space occupied by the shape.

Given a cone.

We have to find the complete the statements related to the cone.

From the figure,

height of the cone = 6 units

Using the Pythagoras theorem,

Radius of the cone = √(10² - 6²) = 8 units

Volume of the cone = 1/3 π r² h

                                 = 1/3 π × 8² × 6

                                 = 128π cubic units

Hence the height, radius and volume of the cone are 6 units, 8 units and 128π cubic units respectively.

Learn more about Volume here :

https://brainly.com/question/13338592

#SPJ5

1. Simplify each of the following.
(a) 4(6-1)-9​

Answers

answer: 11
explanation: trust me bro

Answer:

11

Step-by-step explanation:

4 (6-1)-9

4 (5) - 9

20 - 9

= 11

A student plays a total of 20 rounds of rock paper scussordbhe wins 75% of them. How many rounds did he win

Answers

Answer:

15 rounds

Step-by-step explanation:

Change 75% into a decimal (0.75).

Multiply 20 by 0.75.

When doing so, you get 15 rounds.

To check this: 15/20 = 3/4 = 0.75

Answer:

if that student is scussordbhe then they won 15 rounds, if they arent they won 5.

Step-by-step explanation:

What is a nickname for a rotation and what is a nickname for a reflection. Math

Answers

Answer:

reflection-FLIP rotation- SPIN or

TURN

Step-by-step explanation:

Anyone knows the answer pls ????

Answers

The answer is 2.5 x 10^-15

Hope this helps.

Round your answer to the nearest hundredth.

Answers

Answer:

Step-by-step explanation:

Take AC as  x

90° + x +70°= 90°

x = 70 + 90 = 160 - 90 = 70

x = 70

Hope this answer will help you!!!!!

Step-by-step explanation:

90°+?+70°=90°(right angle)

?=70+90=160-90=70

?=70

Which of the following equations represents a line that is parallel to the line 3x - 2y = 12
and passes through the point (7, 10)?

Answers

Answer:

Step-by-step explanation:

12=3x-2y

2y+12=3x

2y=3x-12

y=(3x-12)/2

y=mx+b

To be parallel to the line above our line must have the same slope or m. The above line has a slope of 3/2 or 1.5 so the parallel line will be

y=1.5x+b, using point (7,10) we can solve for the y intercept or b

10=1.5(7)+b

10=10.5+b

b=-0.5 so our line is

y=1.5x-0.5

I need Help please!!

Answers

Answer:

y intercept is 10

Step-by-step explanation:

Can somebody help me. Will Mark brainliest.

Answers

Answer:

Step-by-step explanation:

cos(x) = 21/38

x = arccos(21/38) ≅ 56°

Other Questions
If we work out the question ,118.80 divided by 22on a calculator it comes out as 5.4How could we write this answer as an amount of money? When looking for connotation, a media viewer is looking for:A. the worldview the media text would like him or her to adopt.B. the values held by the producer of the media text.C. the symbolic meanings within a media text.D. the process through which a story is told by a media text. I NEED HELP ON BOTH ANSWER AS QUICKLY AS POSSIBLE!!Bc Astronomers sometimes use angle measures divided into degrees, minutes, and seconds. One degree is equal to 60 minutes, and one minute is equal to 60 seconds. Suppose that J and K are complementary and that the measure of J is 45 degrees, 30 minutes, 14 seconds. What is the measure of K?The measure of K is ______ degrees, ______minutes, and _____ seconds. which 3 statements of these are true? ( I put a picture attached to this ) please help I will give brainliest if correct Did Voltaire Favor torture What types of countries are turning to socialism? Developed or developing? Who was the first woman (born on March 5th) to pass qualifying exams for astronaut training in 1959, but not allowed to train because of her gender? The Beauty and Danger of a Volcano. Make an essay please 50 POINTS!!!!!Question 1 (1 point) SavedWhich desert is found in SUB-Saharan AfricaQuestion 1 options:SaharaNamibGobiAtacamaQuestion 2 (1 point) SavedMany of the countries in Sub-Saharan are ___________________which limits their tradeQuestion 2 options:Culturally dividedMineral strongDevelopedLandlockedQuestion 3 (1 point) Which river can NOT be found in Sub-Saharan Africa?Question 3 options:NigerNileZambeziPlatteQuestion 4 (1 point) Most of Sub-Saharan Africa is composed of Question 4 options:DesertsRainforestsJunglesHuge plateaus and escarpmentsQuestion 5 (1 point) Which of the following is NOT a city of culture and trade in Sub-Saharan Africa?Question 5 options:GazaDakarLagosJohannesburgQuestion 6 (1 point) Famous falls found in Sub-Saharan AfricaQuestion 6 options:Angel FallsVictoria FallsNiagara FallsLake TanganyikaQuestion 7 (1 point) Area where two tectonic plates are moving away from one anotherQuestion 7 options:Mt. KilimanjaroGreat Rift ValleyRing of FireVictoria FallsQuestion 8 (1 point) Line of Latitude that bisects the continent of Africa causing the climates north and south of the line to be similarQuestion 8 options:Tropic of CapricornTropic of CancerPrime MeridianEquatorQuestion 9 (1 point) Environmental problem caused by over-grazing in Sub-Saharan AfricaQuestion 9 options:DesertificationSahelDeforestationGlobalizationQuestion 10 (1 point) ____________________or tropical wet/dry climates where you can find nature preserves or parksQuestion 10 options:ValleySahelSavannaDesert Could the Great Depression have been avoided? Explain by referring to the factors that led to the depression. In order to receive any credit, you must answer in 7-10 complete sentences. aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa Francine can ride 16 miles on her bicycle in 45 minutes. At this speed, how many minutes would it take Francine to ride 60 miles? How is The Dominican Republic independence significant to history? Write an equation that represents the line.Use exact numbers. Ok can someone please help me? i really need help and no one will help me, its easy middle school math I need help please............... find x, then find each angle Name the following cycloalkane:CH2CH2CH2CH3A. butylcyclohexaneB. butylcyclopentaneC. propylcyclohexane 5. What are the values of x and y? Be sure to show your work.helpppp plz hurry