Mr. Waxman is helping with deliveries for a shipping company. The graph shows a linear model for his delivery times on different days.
(A) Identify two points on the line and write the coordinate pairs below.
(B) Use your two points to find the slope, and make sure to show your work.
(C) Use your slope from Part B and find the equation of the line in point-slope form. Show your work and work through the steps to transform the equation from point-slope form into slope-intercept form.
(D) Based on the equation you found in Part C, predict how long it take Mr. Waxman to deliver his packages on Day 0. Approximately how much did his delivery time decrease per day?
Answers
Answer: a- (7,7) (4,19) b- m=-12/3=-4/1=-4 c- y=4x+35 d- 48min, it increases by 12min a day
Step-by-step explanation:
i did the assignment
Mr. Waxman's delivery is an illustration of a linear function.
(a) Two points on the graph
The points are: (4,19) and (6,11)
(b) The slope of the graph
The slope (m) is calculated as:
[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]
So, we have:
[tex]\mathbf{m = \frac{11 - 19}{6- 4}}[/tex]
[tex]\mathbf{m = \frac{-8}{2}}[/tex]
[tex]\mathbf{m = -4}[/tex]
The slope of the graph is -4
(c) The equation of the graph
In point-slope form, we have:
[tex]\mathbf{y -y_1 = m(x - x_1)}[/tex]
So, we have:
[tex]\mathbf{y -4 = -4(x -19)}[/tex]
In slope intercept form, we have:
[tex]\mathbf{y = -4(x -19) + 4}[/tex]
Open brackets
[tex]\mathbf{y = -4x +76 + 4}[/tex]
[tex]\mathbf{y = -4x +80}[/tex]
The equation of the graph is: [tex]\mathbf{y = -4x +80}[/tex]
(d) The value of the function at day 0
This means that x = 0
So, we have:
[tex]\mathbf{y = -4(0) +80}[/tex]
[tex]\mathbf{y = 0 +80}[/tex]
[tex]\mathbf{y = 80}[/tex]
Hence, it will take 80 minutes to deliver the package on day 0
Read more about linear functions at:
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Related Questions
HELP! Giving branliest to who answers!!!
Answers
Answer: A. -1.8
Step-by-step explanation: Hi there!
First, we have to see the constant rate of change in the x and y values.
For x: 2
For y: -3.6
If the slope is m=y/x
then we can do
-3.6/2
that simplifies to
-1.8/1
which is
-1.8
Hope this answer helps you!
I need help ASAP thank u
Answers
Answer:
im pretty sure the answer is a
Step-by-step explanation:
and follow me plz
5624/6 with a remainder
Answers
Answer:
937.333
Step-by-step explanation:
Answer:
937.33 (rounded. Real answer: 937.333333)
Step-by-step explanation:
5,624 ÷ 6 = 937.33 (rounded since the real answer was: 937.333333)
How do you do this question?
Answers
Answer:
bn = 1 / n
Step-by-step explanation:
We want to show the series an diverges. So we need to find a smaller function bn that diverges. That means we can eliminate options C and D, both of which converge.
an = (3 + sin(n) + e⁻ⁿ) / (2n − 1)
Sine is between -1 and +1, and e⁻ⁿ approaches 0 as n approaches infinity. So the numerator is a minimum of 2 as n approaches infinity. So we can make a new function:
an = 2 / (2n − 1)
Let's look at option B: bn = 4 / √n = 2 / (½√n).
½√n is less than 2n − 1, so bn is greater than an. We can't use that to show that an diverges.
Now let's look at option A: bn = 1 / n = 2 / (2n).
2n is greater than 2n − 1, so bn is less than an. Since bn diverges, an must also diverge.
a. For what values of k does the function y = cos(kt) satisfy the differential equation 25y'' = −16y?
b. For those values of k, verify that every member of the family of functions y = A sin(kt) + B cos(kt) is also a solution.
Answers
Answer:
Step-by-step explanation:
Given y = coskt
y' = -ksinkt
y'' = -k²coskt
Substitute this y'' into the expression 25y'' = −16y
25(-k²coskt) = -16(coskt)
25k²coskt = 16(coskt)
25k² = 16
k² = 16/25
k = ±√16/25
k = ±4/5
b) from the DE 25y'' = −16y
Rearrange
25y''+16y = 0
Expressing using auxiliary equation
25m² + 16 = 0
25m² = -16
m² = -16/25
m = ±4/5 I
m = 0+4/5 I
Since the auxiliary root is complex number
The solution to the DE will be expressed as;
y = Asinmt + Bsinmt
Since k = m
y = Asinkt+Bsinkt where A and B are constants
help me with thisss simplify : 6³/6⁶
Answers
#IfWrongPleaseReport
#StudyTogetherWithMe
#ILoveMath
What’s the ratio 217:279 simplified
Answers
Answer:
666:999
Step-by-step explanation:
olyiuuuyyiuuuuuu
Two angles of a triangle measures 55 degrees and 20 degrees
Answers
Answer:
105
Step-by-step explanation:
55 + 20 + x = 180
In the diagram, bisects ABC. Find mABD and mDBC
Answers
Answer:
Angle ABD = 45 degrees
Angle DBC = 45 degrees
Step-by-step explanation:
If the ray BD bisects ABC, then it divides it in two angles of equal measure. The we can write the following equality:
angle ABD = Angle DBC
9 x + 9 = 12 x - 3
solve for x by subtracting 9x from both sides,
9 = 3 x - 3
and adding 3 to both sides:
9 + 3 = 3 x
12 = 3 x
divide both side by 3 to isolate "x":
12/3 = x
x = 4
And now we can find the value of each angle:
Angle ABD = 9 x + 9 = 9 (4) + 9 = 36 + 9 = 45 degrees
Angle DBC = 12 x - 3 = 12 (4) - 3 = 18 - 3 = 45 degrees
Show that each conjecture is false by finding a counterexample.
1.For any integer n, n3 > 0.
2. Each angle in a right triangle has a different measure.
3.For many years in the U.S, each bank printed its own currency. The variety of different bills led to widespread counterfeiting. By the time of the Civil War, a significant fraction of the currency in circulation was counterfeit. If one soldier had 48 bills, 16 of which were counterfeit, and another soldier had 39 bills, 13 of which were counterfeit, make a conjecture about what fraction of bills were counterfeit at the time of the Civil War.
Answers
Answer:
1. [tex]n: n^3 > 0[/tex] is not true for negative integers
2. [tex]45\ and\ 45[/tex] show that all angles do not have different measure
3. [tex]Fraction = \frac{1}{3}[/tex]
Step-by-step explanation:
Solving (1):
[tex]n: n^3 > 0[/tex]
Take
[tex]n = -1[/tex]
[tex]-1^3 = -1[/tex]
[tex]n: n^3 > 0[/tex] is not true for negative integers
Solving (2):
The angles of a right angled triangle are:
[tex]45, 45\ and\ 90[/tex]
[tex]45\ and\ 45[/tex] show that all angles do not have different measure
Solving (3):
When
[tex]Bills = 48[/tex]
[tex]Counterfeit = 16[/tex]
The fraction is calculated as thus:
[tex]Fraction = \frac{Counterfeit}{Bills}[/tex]
[tex]Fraction = \frac{16}{48}[/tex]
[tex]Fraction = \frac{1}{3}[/tex]
Similarly, when
[tex]Bills = 39[/tex]
[tex]Counterfeit = 13[/tex]
[tex]Fraction = \frac{Counterfeit}{Bills}[/tex]
[tex]Fraction = \frac{13}{39}[/tex]
[tex]Fraction = \frac{1}{3}[/tex]
A report revealed that the average no. of months that an employee stays in a factory is 36 months. Assuming that
the no. of months of an employee tenure in the factory is normally distributed with a standard deviation of 6
months, find the probability that a certain employee will stay:
a. More than 30 months
b. Less than 24 months
c. Between 24 to 48 months
Answers
Answer:
a) P [X ≥ 30 ] = 0,8413 or 84,13%
b) P [X < 24] = 0,0228 or 2,28 %
c) P [ 24 < X < 48 ] = 0,9544 or 95,44%
Step-by-step explanation:
z = ( X - μ₀ )/σ
μ₀ the mean ( average no. of months that an employee stay in a factory)
σ standard deviation
a) P [X ≥ 30 ] = 1 - P [X < 30 ]
P [X < 30 ]
We look for z (score)
z = ( X - μ₀ )/σ ⇒ z = 30 - 36 / 6
z = - 1
From z table we get for -1
P [X < 30 ] = 0,1587
And
P [X ≥ 30 ] = 1 - P [X < 30 ] ⇒ P [X ≥ 30 ] = 1 - 0,1587
P [X ≥ 30 ] = 0,8413 or 84,13%
b) P [X < 24]
z (score) = ( 24 - 36 ) / 6
z( score) = -2
And from z table we get:
P [X < 24] = 0,0228 or 2,28 %
c) P [ 24 < X < 48 ] is P[X ≤ 48] - P[X ≤ 24]
P [X < 48]
s (score) = 48 - 36 / 6 ⇒ z = 2
P [X < 48] = 0,9772
Then
P [ 24 < X < 48 ] = 0,9772 - 0,0228
P [ 24 < X < 48 ] = 0,9544 or 95,44%
Is .09 greater then .0003
Answers
Answer:
Yes
Step-by-step explanation:
For ease, let's multiply these by 10,000.
0.09 • 10,000 = 900.00 = 900
0.0003 • 10,000 = 3.00 = 3
900 is clearly greater than 3. Therefore, 0.09 is greater than 0.0003.
polynomial time............
Answers
Answer:
I'm pretty sure its b
Step-by-step explanation:
I plotted each one to make a polynomial graph and b was the one that had the x-intercepts at -6, 1, and 4.
hope this helped a little :))
this table displays the amount of water in the bathtub as it is being drained a two-column table with four rows column one is labeled time minutes with entry 7 8 9 10 CO2 is labeled water gallons with entries 38.5 36.2 534-3175 use the table to interpret the rate of change what is the rate of change for the relationship
Answers
The rate of change for the relationship, given the data is -2.25 gallon/min
What is velocity?Velocity is simply defined as the rate of change of displacement with time. Mathematically, it can be expressed as:
Velocity = displacement / time
With the above idea in mind, we can obtain the rate of change for the given relationship. This is illustrated below:
How to determine the rate of change Column 1 i.e time (min) = 7, 8, 9, 10.Column 2 i.e Water (gallons) = 38.5, 36.25, 34, 31.75.Rate of change =?Rate = Change in gallon / change in time
Rate = (36.25 - 38.5) / (8 -7)
Rate = -2.25 / 1
Rate of change = -2.25 gallon/min
Learn more about velocity:
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What is the asymptote of the function g(x) = 5.2 3x + 4 shown on the graph?
Y=0
Y=3
Y=4
Y=5
Answers
Answer:
Y=4
Step-by-step explanation:
Answer:
Y=4
Step-by-step explanation:
Which statement best explains whether △ABC is congruent to △DEF?
△ABC is congruent to △DEF because △ABC can be mapped to △DEF by a reflection across the y-axis followed by a translation 5 units down.
△ABC is congruent to △DEF because △ABC can be mapped to △DEF by a rotation of 90° counterclockwise about the origin followed by a reflection across the y-axis.
△ABC is congruent to △DEF because △ABC can be mapped to △DEF by a translation 5 units down followed by a reflection across the x-axis.
△ABC is not congruent to △DEF because there is no sequence of rigid motions that maps △ABC to △DEF.
Answers
Answer: △ABC is congruent to △DEF because △ABC can be mapped to △DEF by a translation 5 units down followed by a reflection across the x-axis.
Step-by-step explanation: By moving the shape down 5 units, you are met with DEF. You then mirror it (reflect) across the y axis.
Mr. Waxman is helping with deliveries for a shipping company. The graph shows a linear model for his delivery times on different days. (A) Identify two points on the line and write the coordinate pairs below. (B) Use your two points to find the slope, and make sure to show your work. (C) Use your slope from Part B and find the equation of the line in point-slope form. Show your work and work through the steps to transform the equation from point-slope form into slope-intercept form. (D) Based on the equation you found in Part C, predict how long it take Mr. Waxman to deliver his packages on Day 0. Approximately how much did his delivery time decrease per day? 2 SEE A
Answers
Answer:
See below
Step-by-step explanation:
Note: missing graph is attached
SolutionA) The two points are:
(4, 19) and (7, 7)B) Slope formula: m = (y2-y1)/(x2-x1)
m = (7 - 19)/(7-4)m = -12/3m = -4C) Point-slope formula:
y - y1 = m(x - x1)Using one of the points we get:
y - 19 = -4(x - 4)D) Delivery time on Day 0:
y - 19 = -4(0 - 4)y - 19 = 16y = 16 + 19y = 35 minutesDelivery time decreases by the value of the slope which is 4 minutes per day
Is the figure an example of a line?
Answers
Answer:
No, Because it has 2 endpoints lines travel forever in both directions
Step-by-step explanation:
Answer:
D. No, it has two end points.
Step-by-step explanation:
A line is something that extends indefinitely in one or both directions.
Kayla measures a distance of 50 inches. She needs to find the equivalent number of meters. Which conversion factors should she use? Check all that apply.
(A) StartFraction 2.54 centimeters Over 1 inch EndFraction
(B) StartFraction 1 inch Over 2.54 centimeters EndFraction
(C) StartFraction 1 meter Over 100 centimeters EndFraction
(D) StartFraction 100 centimeters Over 1 meter EndFraction
Answers
Answer: A and C
Step-by-step explanation: :)
Answer:
A and C [: (edg 2021)
Step-by-step explanation:
I got it correct on my assignment!
A Cessna 172 plane that is used to transport up to four VIPs is 2 km in the air if the potential energy of the VIP plane with three VIPs on board is 860 J what is the combined mass of the Cessna and passengers
Answers
Answer:
0.0438 kg
Step-by-step explanation:
We are given;
Potential energy; U = 860 J
Height; h = 2 km = 2000 m
Formula for potential energy is;
U = mgh
Where g is acceleration due to gravity = 9.81 m/s²
Thus;
860 = m × 9.81 × 2000
m = 860/(9.81 × 2000)
m = 0.0438 kg
Please Assist!
What is the answer to this question???
Answers
Answer:
[tex](3.5,0.5)[/tex]
Step-by-step explanation:
Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )[/tex]
Simply plug in your coordinates into the midpoint formula to find midpoint:
P(5, -3)
Q(2, 4)
[tex](\frac{5+2}{2},\frac{-3+4}{2} )[/tex]
[tex](\frac{7}{2},\frac{1}{2} )[/tex]
[tex](3.5,0.5)[/tex]
Which activity would Descartes most likely have enjoyed in his free time? (straight up)
Answers
Answer:
Buns VI jdgsjs ssndbssbhejdjeejsgejeoe
Step-by-step explanation:
Bdnee Ded modi’s no rhenxns hi s in dndn
Answer:
Rene Descartes was a philosopher and he loved math and science. He was French.
Step-by-step explanation:
The sixth-graders at Scott's school got to choose between a field trip to a museum and a field trip to a factory. 57 sixth-graders picked the museum. If there are 100 sixth-graders in all at Scott's school, what percentage of the sixth-graders picked the museum?
Answers
Answer:
57%
Step-by-step explanation:
because percentages go up to a hundred so 57 would be 57%.
Answer:
57%
Step-by-step explanation:
The answer is 57%. The reason is because when we are talking about percentage, it always out of 100. 57 out of 100, you would make that into a fraction so it would be 57/100. You would then divide 57/100 to get 0.57. Move the decimal two places to the right to get 57%.
what is the least common denominator of 1/2, 2/3 and 3/8 A. 48 B. 24 C. 16 D. 12
Answers
Answer:
B
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Please answer correctly, I’ll give brainlest.
Answers
Answer:
[tex] \sqrt{170} [/tex]
6. The store paid $2.50 for a book and sold it for $5.25. What is the profit as a percent?
Answers
PLEASE HELP ASAP ITS DUE SOON
Lines R and S are parallel Find the value of x, then find the measure of m<1 and m<2.
m<1=(70-2x)"
m<2 = (82-3x)
x=
m<1=
m<2=
m<1 and m<2 are corresponding angle
Answers
Answer:
im very confused aadly
What is the following equal to 7 times 10^3
Answers
Answer:
7000
Step-by-step explanation:
10^3=1000
1000*7=7000
7000 is answer
1000×7 = 7000
Which equation represents a line with a slope of -3 and a y-intercept of -6?
A. y = 3x - 6
B. y = 6x + 3
C. y = - 3x +6
D. y = - 3x - 6
Answers
Answer:
D. y=-3x-6
Step-by-step explanation:
Slope is before x and since it is -3 it is -3x the y-intercept is the number without the variable and since it's -6 you get y=-3x-6
D) 685
Titik koordinat yang manakah berada pada garis lurus Y=X +99
A) (2,13)
B) (4,11)
C) (3,12)
D) (5,10)
Answers
Answer:
A
Step-by-step explanation: