The equation y=470x represents the relationship between x, the time that a plane flies in hours, and y, the distance the plane flies in miles for plane A. The table represents the relationship for plane B. Find the slope of the graph for each plane and the plane's rate of speed. Determine which plane is flying at a faster rate of speed look at the picture please
Answers
Answer:
Plane A:
The rate of change or slope of function A is: m = 470
It means plane A is flying 470 miles per hour.
Thus, the rate of speed of plane A is 470 miles per hour.
Plane B:
The rate of change or slope of Plane B is: m = 480
It means Plane B is flying 480 miles per hour.
Thus, the rate of speed of plane A is 480 miles per hour.
Therefore, we conclude:
Plane B is flying faster.Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the rate of change or slopeb is the y-interceptPlane A
From the given equation
y = 470x
where
x is the time that plane flies in hours
y is the distance the plane flies in miles
Thus, comparing with the slope-intercept form y = mx+b
The rate of change or slope = 470
It means plane A is flying 470 miles per hour.
Plane B
Given the table
Time (h) 1 2 3 4
Distance (mi) 480 960 1440 1920
Finding the slope by taking any two points, let say, (1, 480) and (2, 960)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(1,\:480\right),\:\left(x_2,\:y_2\right)=\left(2,\:960\right)[/tex]
[tex]m=\frac{960-480}{2-1}[/tex]
Refine
[tex]m=480[/tex]
Therefore, the rate of change or slope of Plane B is: m = 480
It means Plane B is flying 480 miles per hour.
Conclusion:
Plane A:
The rate of change or slope of function A is: m = 470
It means plane A is flying 470 miles per hour.
Thus, the rate of speed of plane A is 470 miles per hour.
Plane B:
The rate of change or slope of Plane B is: m = 480
It means Plane B is flying 480 miles per hour.
Thus, the rate of speed of plane A is 480 miles per hour.
Therefore, we conclude:
Plane B is flying faster.Related Questions
What is the rate of change of a line that passes through the points (-3,5) and (2,-1)?
Answers
Answer:
3/4
Step-by-step explanation:
The slope of the line is
m = (y2-y1)/(x2-x1)
= (-2--5)/(6-2)
= (-2+5)/(6-2)
=3/4
£3000 is invested at 4% compound interest per annum. What is the value of the investment after 3 years?
Answers
£192 + £3000 = £3192
need help with functions
Answers
Answer: ur right
Step-by-step explanation:
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The y axis intercepts the linear function at positive 3
4. Is the point (5,-26) a solution to the following
system of equations? Show your work.
y = -5x - 1
y=-3x - 2
Answers
Answer:
No,
Step-by-step explanation:
y = -5x - 1
y=-3x - 2
y=-5x-1
-26=-5(5)-1
True
now
y=-3x-2
-26=-3(5)-2
−26≠−17
False
It is not a solution to both of them
Can you please help with both? :)
Answers
Answer: 1. 12 2. 120
Step-by-step explanation:
1. so basically 9/6=18/x
since they are similir the'd have the same ratio
sooo you just solve for x (multiply 6 by 18, and then divide by 9) and you get 12
2. same thing except you put 6/10=12/x, and solve it (multiply 10 by 12 and divide by 6) and u get 20
dats how i would do it but there are other ways too im sure :)
hope this helps
6. If Birr 2500 invested at 6% simple interest per annum,
for 3 year, what is the interest
250
540
450
2950
Answers
Answer:
The interest is 450 ⇒ C
Step-by-step explanation:
The formula of the simple interest is I = Prt, where
I is the intersetP is the investment amountr is the rate in decimalt is the time in years∵ Birr invested 2500 at 6% simple interest per annum for 3 years
∴ P = 2500
∵ r = 6%
→ Divide it by 100 to change it to decimal
∵ 6% = 6 ÷ 100 = 0.06
∴ r = 0.06
∴ t = 3
→ Substitute them in the formula above
∵ I = 2500 × 0.06 × 3
∴ I = 450
∴ The interest is 450
Identify the value of C for completing the square
X^2– 16x + c
A) 16
B) 64
C) -64
D) -16
Answers
Answer: 64
Step-by-step explanation:
Someone help me it was due a week ago please help me
Answers
Answer:
h-5
Explanation:
no
-49r - 21r⁴ + 35r³
factor out the gcf
Answers
Answer:
okogfyuijsudiwgsydjhdbdjwnwbwv
hope this helps :)
Which value of x is a solution of the inequality 25x - 100 < 250?
Answers
Answer:
inequality form: x<14
Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.
The solution of the given inequality is set of all x such that x < 14.
What are Inequalities?Two or more expressions connected with symbols of inequality like ≥, ≤, > and < is called the inequalities.
There are different kinds of inequalities like polynomial inequalities which includes linear inequalities and quadratic inequalities, rational inequality and so on.
Linear inequalities will have the highest degree of the variable equals 1.
Given a linear inequality,
25x - 100 < 250
Adding both sides of the inequality with 100,
25x - 100 + 100 < 250 + 100
25x < 350
Dividing both sides of the inequality by 25,
25x / 25 < 350 / 25
x < 14
Hence the value of x in the inequality is all the values of x which are less than, < 14.
To learn more about Inequalities, click on the link given here :
https://brainly.com/question/20383699
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Are these equilateral isosceles or scalene I’ll give brainlest if right
Answers
Answer: 7) isosceles 8) scalene 9) congruent 10) scalene 11) isosceles 12) congruent
Step-by-step explanation: Scalenes have two matching sides, congruent has all matching sides, and scalene has no matching sides :)
8: scalene
7: isosceles
10: scalene
11: isosceles
12: equilateral
sorry if i'm wrong <3
Dr. Pebbles wants to buy tickets for the Oceanography class to attend a marine science center fieldtrip. If the tickets cost $32 each and the department has $3408 budgeted for the trip, what is the greatest number of tickets that can be purchased?
Answers
Answer: 106 tickets.
Step-by-step explanation:
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Answers
Answer: OMG i hope they are nice to you
Step-by-step explanation:
Classify the triangle by the side and angle
Equilateral
Scalene , right
Scalene , obtuse
Isosceles, acute
Answers
Answer:
scalene and right
Step-by-step explanation:
it's a scalene triangle because all the sides have different lenghts. it's also a right triangle because of the square indicating that the triangle has a 90 degree angle making it a right triangle.
PLEASE HELP! NEED HELP NOWWWW!!!! PLS! HELPPPP
Write the linear equation for the following word problem:
Your family has decided to go to the lake and rent a canoe. The rangers charge $6.50 per hour in addition to a $25 rental fee.
Answers
Answer:
$44.50
Step-by-step explanation:
Simplify 1/2 (10x + 20)
HELP
Answers
Need help this is my last one i need can anybody help i don't get it thanks if you do help
Answers
Answer:
its c
Step-by-step explanation:
Hope this Helps!!!
pls help and SHOW WORKINGS
It due ASAP
Answers
Answer:
Any real number strictly larger than 9 and strictly less than 21.
Step-by-step explanation:
By triangle inequality, the sum of the lengths of any two sides are greater than the length of the third side.
We therefore could set up three inequalities.
x+6>15, x+15>6, 15+6>x
Solving these, we get x>9, x>-9, x<21 i.e. 9 < x < 21.
please help me there is a pic thankyou
Answers
Answer:
2
Step-by-step explanation:
y^m x y^n = y^m+n
so y^-4 x y⁶ = y^-4+6
-4+6=2
NOTE: ^ means to the power of
e.g: y^2 is y² :)
Can some one help me pleas?
Answers
Answer:
65t - 156
Step-by-step explanation:
use a calculator
Answer:
65t - 156
0.416....
Step-by-step explanation:
first you multiply the 13 out to all the numbers inside the parenthesis
then you divide by 65 to get the answer 0.416 but it will be D.
Some number was divided into 42. This quotient was then multiplied by 8,after which the resulting product was added to 10. Given this sum totalled to 34,find the initial number.
Answers
Answer:
126
Step-by-step explanation:
In order to find the initial number, we need to create the expression that is being mentioned and solve for the initial value by applying the opposite expressions to isolate the variable.
(((x / 42) * 8) + 10) = 34 ... subtract 10 from both sides
((x / 42) * 8) = 24 ... divide both sides by 8
(x / 42) = 3 ... multiply both sides by 42
x = 126
Finally, we can see that the initial value was 126
Which of these best describes rt?
A) The square root of the area of a circle
B) The ratio of the radius of a circle to its diameter
C) The radius of a circle times 3.14
D) The ratio of the circumference of a circle to its diameter
Answers
Answer:
uhhhh... i thinks its D or A
Please help me, 30 points, really easy.
Find the missing dimension. Use the scale factor 1 : 12.
Answers
Answer:
15in
Step-by-step explanation:
Convert the 15 ft to inches (180) and then set up the proportion.\frac{1}{12} = \frac{x}{180}121=180x . Cross multiply to get that 12x = 180 and x = 15 inches.
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Answer:
the bottom one my dude. hope it helps!
the question is in the pic
Answers
Answer:
d the bottom one
Step-by-step explanation:
both are a right angle and are the exact same shape
Point C (2, 1) is the image of C(2,5) reflected across line m. What is the equation of line
m?
Answers
Answer:
Y=3
Step-by-step explanation:
The line is a horizontal line, and the points are in a vertical line. Y=3 is on a horizontal line at 3 up from the x axis.
I need help because i don't understand ?
Answers
Answer:
Step-by-step explanation:
You have to pick two points and then find The slope
Based only on the given information, it is guaranteed that AC = BC.
Given: A ABC
AB I CD
A. True
B. False
Answers
Option B is correct that is false.
We have been given a figure we need to tell that the two lines are perpendicular.
Lines are perpendicular if they meet at the right angle.
Line CD is perpendicular AB to vice-versa is not true.
Hence, Option B is correct
What is perpendicular with examples?Lines that intersect each other forming a right angle are called perpendicular lines. Example: the steps of a straight ladder; the opposite sides of a rectangle. The symbol is used to denote two perpendicular lines: ⊥ ⊥ .
The perpendicular symbol is ⊥. It is used between the two lines to show that they are perpendicular to each other.
Perpendicular lines intersect at right angles (90°) while parallel lines are parallel to each other and never intersect.
Learn more about perpendicular here;
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find the value of x
Answers
Answer:20
Step-by-step explanation:
x=20(congruent side)
Hope it helped you.
Plz mark me brainliest.