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:
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.
Related Questions
Examination practice
Exam-style questions
1 The quadratic equation x2 - 5x – 3 = 0 has solutions a and b. Find the value of:
i a - b
ii a + b
Leave your answers in exact form.
Answers
Answer:
Please refer to the attachment
Hope it helps
Please mark me as the brainliest
Thank you
Which equation has a solution of k = 6.5? F -3k = 19.5 G-1 + k = 7.5 H -7k = -45.5 J -2 + k = -8.5
Answers
Answer:
i don't know
Step-by-step explanation:
How many times larger is 6*10^ 7 than 3*10^ 6 ?
Answers
Answer:
20
Step-by-step explanation:
step 1: Evaluate the expressions
6*10^7 = 60,000,000
3*10^6 = 3,000,000
step 2: Devide
60,000,000 / 3,000,000 = 20
so 60,000,000 is 20 times larger than 3,000,000
Your teacher might want you to use a different method, but I believe this is the simplest way. If you have any questions feel free to ask away
Answer:
20
Step-by-step explanation:
[tex] \dfrac{6 \times 10^7}{3 \times 10^6} = \dfrac{6}{3} \times 10^{7 - 6} = 2 \times 10^1 = 20 [/tex]
28 vehicles per minute. How many vehicles can be accommodated in an hour?
Answers
Answer:
1680 vehicles
Step-by-step explanation:
28 per minute
60 minutes in an hour
28 * 60 = 1680
Answer:
1,680
Step-by-step explanation: 28x60=1,680
Is 12/20 greater than 1
Answers
no, this is false. 1 is greater than 12/20.
Answer:
No. Its not cause 20/20 is what makes ita whole 1 so if ita 12 than its not equal to 1
Members of a soccer team raised $1946.50 to go to a tournament. They rented a bus
for $974.50 and budgeted $60.75 per player for meals. Write and solve an equation
which can be used to determine p, the number of players the team can bring to the
tournament.
Answers
Answer:
d
Step-by-step explanation:
d
Equation: 60.75p + 974.5 = 1946.5
Answer: p = 16
(11 – 9)' – 2 x 4=
Please help
Answers
Answer: 2 − 8x
Step-by-step explanation:
1.5+4=2.3−1.2 in decimal form
Answers
Answer:
5.5=1.1
Step-by-step explanation:
hope this helps:)
If a ship had 1500 boars, what is the age of captain??
Answers
Answer:
At least 24 (if started around 19) or 23 (if started internship around 18)
[ results are only if the boars are dead and the ship's capacity is closest to the TEU ]
I need help with this question
Answers
Answer:
28 Almonds = 20 Peanuts
14 almonds = 10 peanuts
3.5 almonds = 2.5 peanuts
350 almonds = 250 peanuts
56 almonds = 40 peanuts
Step-by-step explanation:
Can you help me with this question please
Answers
Answer:
the answer is 9^8
Step-by-step explanation:
9^3 * 9^5 = 9^ 3 + 5 = 9^8
A rock was thrown from the top of a building. The distance, in feet, between the rock and the ground t seconds after it is thrown is represented by d=-16t squared -4t+382. How long after the rock is thrown is it 370 feet from the ground
Answers
Answer:
Step-by-step explanation:
please help me! :(
i'll mark you brainliest <3 20 point
(maths)
Answers
Answer: a) 4 b) you could make up to 8 liters
Step-by-step explanation:
Answer:
See Below! :)
Step-by-step explanation:
The answer to a is just 1.5 x 8
The answer to b is no
Hope this Helps! :D
Given A(5, –2), what are the coordinates of (T⟨−3, 4⟩∘ Rx-axis)(A)?
Answers
Answer:
not sure
Step-by-step explanation:
Following are the calculation to the given coordinates:
[tex]\to T (-2, 5)[/tex]
The y-axis reflection:Modify its abscissa's sign, i.e., the x-coordinate.Keep this ordinate, which would be the y-coordinate.[tex]\to[/tex] (-2, 5) is the image (-2, -5).
Also, as a result, the coordinates of point T' after the Ry-axis are as follows: (2, 5).
Whenever a point is reflected throughout the x-axis, the x-coordinate is unchanged, but the "y-coordinate" is assumed to be the additional inversion.[tex]\to[/tex] (-2, 5) is the image (-2, -5).
As a result, the coordinates of point T' after the Rx-axis are just as follows: (-2, -5)Learn more:
brainly.com/question/19276871
Simplify the following question expression: -5.8c+4.2-3.1+1.4c
Answers
-5.8c+4.2-3.1+1.4c
=-4.4c+1.1
-1.8c + 1.1
Hope this helps!
Geenas hair grew 1 and 1/8 in 3 months
Answers
Annual sales for a company are $155,000 and increases at a rate if 8% per year for 9 years
Answers
155,000 + 12,400 = 167,400
- this is the rate for one year, find 8% of 167,400 and use addition to add your answer to 167,400 find the cost of the 2nd year, keep doing this until you have reached 9 years
The value of annual sales in 9 years is $309,845.72.
What is the value of annual sales in 9 years?In order to determine the annual sales of the company in 9 years, the formula to be used is:
FV = P (1 + r)^n
Where:
FV = Future value P = Present value R = interest rate N = number of years$155,000 x (1.08)^9 = $309,845.72
To learn more about future value, please check: https://brainly.com/question/18760477
GIVING BRAINLIEST FOR BEST ANSWER!!!
In two paragraphs, explain how Vietnam’s political boundaries, affiliations, and alliances changed from the end of World War II to 1975, when the country finally achieved independence. Based on your research, include the causes and effects of foreign aggression on Vietnam during this period.
Answers
Answer:
Vietnam got its independence from France on 2 September 1945. during second world war, France becomes weak and cannot control Vietnam so France evacuated from Vietnam completely and Vietnam got its independence. Vietnam's political boundaries meets with China, Indonesia, Cambodia and Thailand.
Step-by-step explanation:
If you were to roll the dice one time what is the
probability it will NOT land on a 3?
Answers
Answer:
5/6
Step-by-step explanation:
The table shows experimental values of variables x and y.
x 2 2.5 3 3.5
y 18.8 29.6 46.9 74.1
By plotting a suitable straight-line graph on a grid, show that x and y are related by the equation y=ab^x, where a and b are constants.
(4 marks) B) Find the value of a and b.
Answers
Answer:1 (CIE 2012, s, paper 11, question 7)
The table shows values of variables
x
and
y
.
x
1
3
6
10
14
y
2.5
4.5
0
–
20
–
56
(i) By plotting a suitable straight line graph, show that
y
and
x
are related by the equation
y
=
A
x
+
B
x
2
,
where
A
and
B
are constants. [4]
(ii) Use your graph to find the value of
A
and of
B
.
[4]
2 (CIE 2012, s, paper 22, question 7)
The table shows experimental values of variables
x
and
y
.
x
5
30
150
400
y
8.9
21.9
48.9
80.6
(i) By plotting a suitable straight line graph, show that
y
and
x
are related by the equation
y
=
a
x
b
,
where
a
and
b
are constants. [4]
(ii) Use your graph to estimate the value of
a
and of
b
.
[4]
3 (CIE 2012, w, paper 11, question 10)
The table shows values of the variables
x
and
y
.
x
∘
10
30
45
60
80
y
11.2
16
19.5
22.4
24.7
(i) Using the graph paper below, plot a suitable straight line graph to show that, for 10°
≤
x
≤
80°,
√
y
=
A
sin
x
+
B
,
where
A
and
B
are positive constants. [4]
(ii) Use your graph to find the value of
A
and of
B
.
[3]
(iii) Estimate the value of
y
when
x
=
50.
[2]
(iv) Estimate the value of
x
when
y
=
12.
[2]
4 (CIE 2012, w, paper 22, question 8)
Step-by-step explanation:
add or subtract to simplify IHML
Answers
6x^2+8x
Answer:
A) 6x^2 + 8x
Step-by-step explanation:
2x^2 + 4x^2 = 6x^2
7x + x = 8x
6x^2 + 8x
Hope this helped! Have a nice day! Plz mark as brainliest!!! :D
-XxDeathshotxX
PLEASE HELP ME ASAP!!!!!
Can you use this pattern to find 111111111*11111111 without a calculator? Please Explain
Answers
Answer:
Can you show me the pattern?
I will mark Brainliest!!
Answers
Answer:
4
Step-by-step explanation:
Do you think you can give me brainliest? I'm trying to level up. Thank you!
Answer:
4
Step-by-step explanation:
3-(-1)=
3+1=4
*2 negatives is a positive, therefore the subtraction signs turn to an addition sign
lowest common factor of 36 and 56???
Answers
Answer:
the lowest common factor of 36 and 56 is 1
you can also have 2,4
Sasha needs to score at least 360 points
on four tests to earn an A. On her first
three tests she scored 86, 93, and 88.
What must she score on the fourth test
to earn an A?
Answers
EXPLANATION:
Add all the numbers together
- that from 360
93
find the value of given expression
[tex] \sqrt{312 \times 312} [/tex]
Answers
Step-by-step explanation:
[tex]
\sqrt{312 \times 312} \\ = \sqrt{312 ^{2} } \\ = 312
[/tex]
Hope it will help :)❤
Answer:
√{312×312}=√312²=±312 is your answer
PKZ HELP AND EXPLAIN!!! WILL GIVE BRAINLY
Answers
Answer:
The graph shown has a slope of -4 (the line goes up 4 units for every 1 unit traveled to the left)
The y-intercept (where the line crosses the y axis) is -3
Slope-intercept form is y=mx+b
(m=slope)
(b= y-intercept)
Therefore, your answer would be y=-4x-3
Step-by-step explanation:
plz help me w this !!
Answers
Answer:
sum of angles in atriangle=180°
Step-by-step explanation:
w-45°+w-37°+w+19°=180°(sum of angles in a triangle)
3w=180°+45°+37°-19°
3w=243°
w=81°
1. In triangle ABC, the measure of ∠ABC is 42°, and the measure of ∠BCA is 113º.
What is the measure of ∠CAB?
How do you know that is the answer?
Answers
Answer:
if I am correct it would be 25 degrees. hope this helps!
Step-by-step explanation:
* Countdown
Series 5 / Page 6
Justin has a paper parallelogram with a
lotted line drawn on it. He will use scissors
o cut along the line, forming a triangle and
pentagon
7 cm
8 cm
3 cm
3 cm
Which equation can be used to find p. the
area of the pentagon?
A p= (7 6 / (3.3)
Bp=(7-6)-(3.3)
cp-417.6.3.3)
Dp = (7 + 6) - (3 + 3)
Answers
Answer:
A
Step-by-step explanation:
Area of pentagon = Area of parallelogram - area of triangle
= (base * height ) - [tex]\frac{1}{2}*b*h[/tex]
= (7 * 6) - [tex]\frac{1}{2}[/tex] * 3 * 3