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
The points on a scatterplot increase rapidly. You run a linear regression on
the data. The residual plot shows a pattern, and is low.
Which of these methods would likely result in a better model of the data?
A. Run a quadratic regression on the data and then linearize the data.
B. Linearize the data by taking the log of the response variable, and
then run a linear regression.
C. Linearize the data by taking the logs of both variables, and then
run a linear regression.
D. Linearize the data by taking the log of the response variable, and
then run an exponential regression.
Answers
Answer:
B
Step-by-step explanation:
The method that would most likely result in a better model of the data is to :
Linearize the data by taking the log of the response variable, and then run a linear regression.
A linear regression can be expressed as
[tex]log(y) = \beta _{0} + \beta _{1} x[/tex]
The linear regression is applied to improve the model fitting and also helping to linearize the responses which causes an increase in the R-squared value.
Answer:
B
Step-by-step explanation:
It is well known that generally a female's growth spurt occurs before a male's; therefore the
female's height data will likely be higher than the male's data.
Discuss this idea in a well-structured paragraph. Use your calculations of the mean, median, mode
and range of the data to support your decision.
Answers
Answer:
Most girls start their sexual development between the ages of 8 and 13 (the average age is 12), and have a growth spurt between the ages of 10 and 14.
Most boys start developing sexually between the ages of 10 and 13, and continue to grow until they're around 16.
this my help
Can someone explain the snake method, I don't understand how to do it
Answers
Answer:
x ∈ [−2; 1] ∪ 3.5Step-by-step explanation:
GivenInequality: (x-1)(x+2)(2x-7)≤0
Solution:If we solve the corresponding equation (x-1)(x+2)(2x-7)²= 0, we get roots
x = -2, 1, 3.5We need to consider the following 4 intervals:
(−∞; −2), [−2; 1], (1; 3.5), (3.5; ∞)1st interval (−∞; −2)
The expression (x-1)(x+2)(2x-7)² is positive as two of the multiples are negative and one is always positive (square number), and therefore does not satisfy the inequality.2nd interval [−2; 1]
The expression is negative as only one of the multiples is negative, and therefore the interval (−1; 2) satisfies the inequality.3rd interval (1; 3.5)
The expression is positive as all the multiples are positive. Therefore, the interval (1; 3.5) also does not satisfy the inequality.4th interval
The expression is positive as above, and therefore also does not satisfy the inequality.So, the answer to the inequality is:
x ∈ [−2; 1] ∪ 3.5The product of the number g and the opposite of 7 is equal to k.
Change to an algebraic expression
Answers
explanation: -7 is the opposite of 7
y=5x-7
-3-2x=12 for x
Answers
Answer:
4 2/3
lmk if this is correct or not
Step-by-step explanation:
5x-7-3-2x=12
5x-4-2x=12
3x-2=12
3x=14
14/3
x=4.666 or 4 and 2/3
Which of the following lists the numbers shown below in order from least to
greatest? Please hurry
Answers
Solve the problem. Use the Central Limit Theorem. The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 109.0 inches, and a standard deviation of 10 inches. What is the probability that the mean annual precipitation during 25 randomly picked years will be less than 111.8 inches
Answers
Answer:
0.91924
Step-by-step explanation:
Given that :
A normal distribution has ;
Mean (m) = 109.0 inches
Standard deviation (σ) = 10 inches
Sample size (n) = 25
Probability that randomly picked years is less than 111.8 inches
Using the Zscore relation :
Zscore = (x - m) / (σ/√n)
x = score = 111.8 inches
Zscore = (111.8 - 109.0) / (10/√25)
Zscore = (2.8) / (10/5)
Zscore = 2.8 / 2
Zscore = 1.4
P(Z < 1.4) = 0.91924 ( using z probability calculator)
P(Z < 1.4) = 0.91924
Expression to the same value as 10 to the power of six
Answers
Answer:
10+10+10+10+10+10=1000000
Step-by-step explanation:
9. Determine whether KM and ST are parallel, perpendicular, or neither. K(-1, -8), M(1,6), S(-2,-6), T(2, 10) A Parallel B Perpendicular C Neither Hint(use slope formula)
Answers
The equation P = 6s represents the perimeter P of a regular hexagon with side length s. What is the perimeter of a regular hexagon with side length 7 m?
Answers
Answer: 42
Step-by-step explanation:
The required perimeter of the regular hexagon is 42 m.
Given that,
The equation P = 6s represents the perimeter P of a regular hexagon with side length s. What is the perimeter of a regular hexagon with side length 7 m is to be determined.
Perimeter is the measure of the figure on its circumference.
here,
the perimeter of the regular hexagon is given,
P = 6s
Put s = 7
P = 6(7)
p = 42
Thus, the required perimeter of the regular hexagon is 42 m.
Learn more about perimeter here:
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Marking Braniest!!! What is 100÷4÷4÷4
Answers
Answer:
1.5625
Step-by-step explanation:
100 divided by 4 is 25. 25 divided by 4 is 6.25 and 6.25 divided by 4 is 1.5625
Answer:
1.5625
This is what I think is the answer
find the slope (5,4) (5,9)
Answers
Answer:
undefined
Step-by-step explanation:
To find the slope between two points, we can use the slope formula. The slope formula is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
where m is the slope and (x₁, y₁) and (x₂, y₂) are two points.
By plugging in (5, 4) and (5, 9) for (x₁, y₁) and (x₂, y₂) respectively, we get:
[tex]m=\frac{9-4}{5-5}=\frac{5}{0}[/tex]
Note, we cannot divide by zero. By using the slope formula, we get that the slope is undefined.
I hope this helps. Happy studying.
!!!!HELPPPPPPPP ASAP!!!!
Answers
Answer:
first one is -1
second one is 0
third one is 6
last one is 2
Step-by-step explanation:
Look at the number below.
6642
How is the value of the digit in the thousands place related to the value of the digit in the hundreds place?
A It is six times greater.
B
It is ten times greater.
С
It is one hundred times greater
The values of the digits are the same.
Answers
Answer:
Option (B)
Step-by-step explanation:
Given number is 6642.
Number at ones place = 2
Number at tens place = 4
Number at hundredth place = 6
Number at thousand place = 6
Value of the number at tens place = 4 × 10 = 40
Value of the number at hundreds place = 6 × 100 = 600
Value of the number at thousand place = 6 × 1000 = 6000
Number at thousand place = 10 × (Number at hundreds place)
Therefore, Option (B) will be the answer.
**100** The given data represent the total compensation for 10 randomly selected CEOs and their company's stock performance in 2009. Analysis of this data reveals a correlation coefficient of r = 0.1887. What would be the predicted stock return for a company whose CEO made $15 million? What would be the predicted stock return for a company whose CEO made $25 million?
Answers
Answer:
Your answer is: Look Below
Step-by-step explanation:
Hope this helped : )
Factorise fully
-y - 6
this is my last question for today, right answer will be marked brainiest
Answers
Answer:
[tex]-(y+6)[/tex]
Step-by-step explanation:
[tex]-y-6\\\\=-(y+6)[/tex]
Answer:
-(y+6)Step-by-step explanation:
[tex] - y - 6[/tex]
Common factor : -1
[tex] - 1(y + 6) = \\ - (y + 6)[/tex]
A student states that the constant of proportionality is 2.5 since 10 - 7.5 = 2.5.
I NEED HELP FOR MY TEST!
Answers
But, if you were to look at the table see if the numbers are increasing or decreasing for the y column. Once you figure this out, find out how much the numbers are increasing/decreasing by and that should be the answer for the constant of proportionality. If it is decreasing, it would be a negative number. If it is increasing, it would be a positive number.
1/2 times 4 /please answer for me :)
Answers
Answer:
2
Step-by-step explanation:
1/2*4 = 2
hope this helps
Debbie sells yard art at the local craft show. Each items sells for $15. It costs her $8 to make each item and $25 for her booth fee. Which inequality shows how many items she needs to sell in order to make a profit?
15x > 8(x + 25)
15x > 8x + 25
15x > 8 + 25x
15x < 8x + 25
Answers
Answer: 15x > 8(x + 25)
that is what i think i am not very good a math sorry
Step-by-step explanation:
Answer:
15x > 8(x + 25)
Step-by-step explanation:
I think this is the answer
Which measurement statement is correct?
Answers
Answer:
What do you need help with?
Why does the series not exist?
Answers
Step-by-step explanation:
(7n − 5) / (2n + 5) approaches 7/2 as n approaches infinity. However, this is an alternating series. So the function is fluctuating between -7/2 and +7/2. So the limit does not exist.
Use the properties of operations. a. The Commutative Property is true for addition. For example, 7+2= 2+7. Does the Commutative Property apply to subtraction? Is 2-7 equal to 7-2? Explain.
Answers
Step-by-step explanation:
Commutative property of addition is a+b=b+a
7+2=9 , 2+7=9
9=9
So, commutative property is true for addition
2-7=-5 , 7-2=5
-5 is not equal to 5
Commutative property does not apply to subtraction
I need help on thisss
Answers
Answer:
1) 4 pots
Left over 2
2) 168 to make 12
122
3) 9
18
Step-by-step explanation:
The various steps of a food chain or web are known as ______. These explain where an organism sits on an ecological pyramid.
Answers
Answer:
Trophic Level
Step-by-step explanation:
The first trophic level is of producers (green plants). The second trophic level is of primary consumers also known as herbivores, third of carnivores, or secondary consumers, fourth is of tertiary consumers also known as top carnivores.
I don’t understand what this means
Answers
Answer:
This means that if you have that amount of those and you do whatever the rest of the question is.
Step-by-step explanation:
Answer:
120 different ways
Step-by-step explanation:
So Fundamental Counting Principle helps understand probability. So for this question, they are asking how many different ways there are.
To do that, we have to split into sets.
Set A: 4 Theme Parks
Set B: 6 Passes
Set C: 5 Food Options
Now we have to multiply the sets.
4 x 6 x 5 = 120
Therefore, the answer is 120 different ways.
pwease help!! i need help to put the answers in the box c:
Answers
Answer:
6 months is: 15675
2 months is: 5172.75
1 month is: 2586.37
15 months is: 38795.62
the missing number is: 12 months
Step-by-step explanation:
How many gallons are in Two-fifths of a One-half-gallon container of milk?
Answers
Answer:
one tenth of a galon
Step-by-step explanation:
I think this is the answer hope this helps (:
Which order pairs are solutions to the equation 4x+2y=4
Answers
Answer:
Slope=2.000/4.000
−2.000x−intercept= 22
=1y−intercept= 12
=2.00000
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
4*x+2*y-(4)=0
Pull out like factors :
4x + 2y - 4 = 2 • (2x + y - 2)
Solve : 2 = 0
This equation has no solution.
A non-zero constant never equals zero.
Solve 2x+y-2 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 2x+y-2 = 0 and calculate its properties
Notice that when x = 0 the value of y is 2/1 so this line "cuts" the y axis at y= 2.00000
y-intercept = 2/1 = 2.00000
When y = 0 the value of x is 1/1 Our line therefore "cuts" the x axis at x= 1.00000
x-intercept = 2/2 = 1
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 2.000 and for x=2.000, the value of y is -2.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -2.000 - 2.000 = -4.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -4.000/2.000 = -2.000
y=-4/5x-5..........................,........
Answers
Answer:
what is the question exactly?
Step-by-step explanation:
you just gave me an equation to work with
What is the midpoint between 10,-3 and -4,-9
Answers
Answer:
(3,3)
Step-by-step explanation:
Use the midpoint formula to find your answer. The formula is [tex](x_{1} +x_{2} /2; y_{1} +y_{2} /2)[/tex].
If that equation looks funny then let me explain. You need to add 10 and -4 together, then divide it by 2. You also need to add -3 and -9, then divide that by 2.