THE GRAPH BELOW SHOWS THE RELATIONSHIP BETWEEN THE AMOUNT
OF MONEY LEO OWES ON A LOAN HE TOOK OUT TO PAY FOR A NEW
PHONE AND TIME IN MONTHS.
AMOUNY OF MONEY (IN DOLLARS)
240
220
200
180
160
НО
120
100
80
60
40
20
4 6 8 10 12 14 16 18 20 22 24 26
TIME (IN MONTHS)
What is the x-intercept?
O (25,0)
0 (0,220)
(220,0)
O (0,25)
Answers
(25,0)
1st choice
Answer:
(25, 0)
Step-by-step explanation:
because the last point on the graph is at 25 months, and by that time, he will have $0 left in loans to pay off, which would indicate an x-intercept
Related Questions
The coordinates of three vertices of square ABCD are A(−212,112),B(−212,−3), and C(2,112).When point D is placed on this square, what will the perimeter of the square be?Enter your answer in the box.
Answers
The perimeter of a shape is the total measurement of all the edges of a shape.
Perimeter of the square is 460 unit.
Since, coordinates of three vertices of square ABCD are given as A(−212,112), B(−212,−3) and C(2,112).
If coordinate of M(a, b) and N(c, d) are given.
Then by using distance formula,
[tex]MN=\sqrt{(d-b)^{2} +(c-a)^{2} }[/tex]
Similarly, [tex]AB=\sqrt{(-3-112)^{2}+(-212+212)^{2} } \\\\AB=115[/tex]
In square, all four sides are equal.
Perimeter of Square, [tex]=4*side[/tex]
[tex]=4*115=460[/tex] unit.
Learn more:
https://brainly.com/question/13511952
Anthony's father wants a quick way to estimate the amount of fencing needed. Mr. Chen asked Anthony to help him. Anthony realizes that this is just a perimeter question. He starts his task by analyzing the relationship between the length of the side of a square flower bed and the perimeter of the flower bed. This will tell him the amount of fence needed to enclose the flower bed. Anthony realizes that lengths of sides of flower beds are not always whole numbers, but he decides to use square tiles to build models of flower beds of various sizes to help him find a pattern. In his models, 1 tile represents 1 square foot.
Answers
Answer:
it is just length plus width times two.
Step-by-step explanation:
Determine if the matrix below is invertible. Use as few calculations as possible. Justify your answer.
[ 1 -2 -5 0 4 3 -3 3 0]
Determine if the matrix below is invertible. Use as few calculations as possible. Justify your answer.
A. The matrix is not invertible. In the given matrix the columns do not form a linearly independent set.
B. The matrix is not invertible. the given matrix is A, the equation Ax b has no solution for at least one b in R.
C. The matrix is invertible. The given matrix is not row equivalent to the nx n identity matrix.
D. The matrix is invertible. The given matrix has 3 pivot positions.
Answers
Answer:
This shows 3 pivot position matrixes.
Step-by-step explanation:
The given matrix is:
[tex]\left[\begin{array}{ccc}1&-2&-5\\0&4&3\\-3&3&0\end{array}\right][/tex]
The option D is correct for this matrix.
The matrix is invertible and the given matrix has 3 pivot positions.
The matrix is invertible if its determinant is nonzero.
Multiply the 3rd row by 1/3.we get:
[tex]\left[\begin{array}{ccc}1&-2&-5\\0&4&3\\-1&1&0\end{array}\right][/tex]
Now, add the first row with third row:
[tex]\left[\begin{array}{ccc}0&-1&-5\\0&4&3\\-1&1&0\end{array}\right][/tex]
Replace third row by first row:
[tex]\left[\begin{array}{ccc}-1&1&0\\0&4&3\\0&-1&-5\end{array}\right][/tex]
This shows 3 pivot position matrixes.
Hence, a matrix is invertible and has 3 pivot positions.
The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x): A graph with two linear functions; f of x passes through 5, 0 and 10, 10, and g of x passes through negative 3, 0 and 2, 10. Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points) Part B: Solve for k in each type of transformation. (4 points) Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)
Answers
Answer:
First, let's find the equations for our lines:
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
f(x) passes through (5,0) and (10, 10), then the slope is:
a = (10 - 0)/(10 - 5) = 10/5 = 2.
then we have:
y = 2*x + b
And when x = 5, we have y = 0.
0 = 2*5 + b
0 = 10 + b
b = -10
Then the equation for f(x) is:
y = f(x) = 2*x - 10.
Now for g(x) we have the points:
(3, 0) and (2, 10)
a = (10 - 0)/(2 - 3) = -10
y = -10*x + b
0 = -10*3 + b
b = 30.
y = g(x) = -10*x + 30.
A) Ok, the transformations:
Transformation 1 or T1.
f(x) = 2*x - 10
g(x) = -10*x + 30.
Then, we start with f(x):
First, we can move f(x) up 4 units and get:
f'(x) = 2*X - 6
Now we can dilate f(x) with a scale factor of -5 from the origin, now we get:
f''(x) = -5*f'(x) = -10*x + 30.
And this is g(x).
Transformation 2 or T2.
Move f(x) up 10 units, so now we have:
f'(x) = 2*x
Do a reflection over the x-axis, so the sign of y changes, and now we get:
f''(x) = -2*x
Do a dilation of scale factor 5
f'''(x) = 5*-2*x = -10*x
Now do a vertical translation of 30 units up.
f''''(x) = -10*x + 30 = g(x).
These are two transformations that start with f(x) and end with g(x).
B) Ok, as i was writting the transformations i already solved them, so this part is already done.
C) the equation for the transformations are:
T1) g(x) = -5*(f(x) + 4)
T2) g(x) = -(f(x) + 10)*5 + 30
Solve the following word problem. A man travels from town X to town Y at an average rate of 60 mph and returns at an average speed of 50 mph. He takes a 1/2 hour longer than he would take if he made the round trip at an average of 55 mph. What is the distance from town X to Y?
___ miles
Answers
Answer:
d = 1650 milesStep-by-step explanation:
Let the distance be d
Then the time in travel is
d/60 one way, d/50 on returnThe round trip would take 1/2 hours longer if the average speed was 55 mph
d/60 + d/50 = 2d/55 + 1/2d/60 + d/50 - 2d/55 = 1/2LCM(60,50,55) = 11*12*5*5 = 3300
55d/3300 + 66d/3300 - 120d/3300 = 1/2d/3300= 1/2d = 1650 milesAnswer:
d= 1650 miles
Step-by-step explanation:
Select all of the true statements about the standard deviation of a quantitative variable. 1. Standard deviation is resistive to unusual values. 2.The standard deviation of a set of values is equal to 0 if and only if all of the values are the same. 3. Standard deviation is never negative. 4.Changing the units of a set of values (e.g., converting from inches to feet) does not affect its standard deviation. 5.If a set of values has a mean of 0 and a standard deviation that is not 0, then adding a new data point with a value of 0 will have no effect on the standard deviation. 6.Standard deviation represents how far a group of values are from the mean of those values, on average.
Answers
Answer:
Considering the first statement
Standard deviation is resistive to unusual values
This statement is false because standard deviation is the numeric measure of deviation of the each observation from the mean
Considering the second statement
The standard deviation of a set of values is equal to 0 if and only if all of the values are the same.
This statement is true because standard deviation is the numeric measure of deviation of the each observation from the mean.
Considering the third statement
Standard deviation is never negative.
This statement is true because standard deviation is the numeric measure of deviation of the each observation from the mean.
Considering the fourth statement
Changing the units of a set of values (e.g., converting from inches to feet) does not affect its standard deviation
This statement is false because standard deviation is the numeric measure of deviation of the each observation from the mean
Considering the fifth statement
If a set of values has a mean of 0 and a standard deviation that is not 0, then adding a new data point with a value of 0 will have no effect on the standard deviation.
This statement is false because , let take an example
x -4 - 3 0 3 4
Generally the mean is mathematically evaluated as
[tex]\= x = \frac{\sum x_i }{n}[/tex]
=> [tex]\= x = \frac{-4+ (- 3)+ 0 + 3 + 4 }{5}[/tex]
=> [tex]\= x = 0 [/tex]
Generally the standard deviation is mathematically evaluated as
[tex]\sigma = \sqrt{\frac{\sum (x_ i - \= x )^2}{y} }[/tex]
[tex]\sigma = \sqrt{\frac{ (-4 - 0 )^2 + (- 3 - 0 )^2 + (0 - 0 )^2 + (3 - 0)^2 + (4 - 0 )^2}{5} }[/tex]
=> [tex]\sigma = 3.16 [/tex]
Now when zero is removed the standard deviation is
[tex]\sigma_1 = \sqrt{\frac{ (-4 - 0 )^2 + (- 3 - 0 )^2 + (3 - 0)^2 + (4 - 0 )^2}{4} }[/tex]
=> [tex]\sigma_1 = 3.54 [/tex]
Since [tex]\sigma \ne \sigma _1[/tex] the above statement is false
Considering the sixth statement
Standard deviation represents how far a group of values are from the mean of those values, on average.
This statement is true because standard deviation is the numeric measure of deviation of the each observation from the mean.
Step-by-step explanation:
PLEASE HELP AS SOON AS YOU CAN
Answers
Answer:
FOR QUESTION 2
1. Segment addition postulate
2. Substitution
3. Substitution
4. Addition property of equality
5. Division property of equality
6 symmetric property
FOR QUESTION 3
1. given
2. Definition of complementary angles (complementary angles add upto 90)
3. Substitution
4. Subtraction property of equality
FOR QUESTION 4
1. Given
2. Definition of supplementary angles (supplementary angles add upto 180)
3. Definition of supplementary angles
4. Substitution
5. Subtraction property if equality
6. Definition of congruent angles (congruent angles are equal)
Step-by-step explanation:
Answer:
I not understand your questions
1.5 = m ÷ 9
I am in sixth grade please help me with this
Answers
Answer:
13.5 or if in fraction 27÷2
Step-by-step explanation:
1.5 = m ÷ 9
1.5 × 9 = m (since you're finding m,shift the 9 to the left.So divide becomes multiply)
27/2 (27÷2) or 13.5 = m
In Chicago, the temperature at noon was 11.4°F. By midnight, the temperature had decreased by 15.7 degrees. What was the temperature at midnight?
Answers
this is because 11.4-15.7=-4.3
*Which
.............
Answers
Answer:
If the first one is a, next is b, ect., then answer is C
Step-by-step explanation:
Just take the first thing. Distributive property and it goes to 9x. From there only one choice has 9x, so ez.
Given the graph of a linear function, identify the steps used to find the initial value. Check all that apply.
A) Find the rate of change using rise over run.
B) Find corresponding y values when x = 6, x = 7, and x = 8. Then plot the points to finish the line.
C) Find corresponding y values when x = 2, x = 1, and x = 0. Then plot the points to finish the line.
D)The initial value corresponds to the y value when x = 1.
E) The initial value corresponds to the y value when x = 0.
Answers
Answer:A C and E
Step-by-step explanation:
Because that is how you do it
Which statement illustrates the distributive property?
A. 9(51 - 12) = 9(51) – 121
OB. 9(5i +121) = 9(121 + 51)
OC. 9(51 – 12) = 9(51) — 9(121)
OD
9 + (51 – 12i) = (9 +51) - (9 + 121)
Answers
Answer: Choice C
9(51-12) = 9(51) - 9(12)
============================================
Explanation:
The distributive property is
a(b+c) = a*b + a*c
which can also be written as
a(b-c) = a*b + a*(-c) = a*b - a*c
In this case we're using
a(b-c) = a*b - a*c
where a = 9, b = 51, c = 12
Lisa and two friends shop at a bookstore. They each choose a book and share the cost equally among the 3 of them.
The total cost of the books is $27.00.
A. Create an equation that models the situation, using c to represent how much, in dollars, each person pays.
B. How much does each person pay?
Answers
Answer:
A: 27 divided by 3 B. $9.00
Step-by-step explanation:
Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below. Nico got a score of 81.6; this version has a mean of 72.6 and a standard deviation of 15. Emilio got a score of 225.3; this version has a mean of 205 and a standard deviation of 29. Alissa got a score of 8.08; this version has a mean of 7.2 and a standard deviation of 0.4. If the company has only one position to fill and prefers to fill it with the applicant who performed best on the aptitude test, which of the applicants should be offered the job?
Answers
Answer:
ALISSA
Step-by-step explanation:
Given the following scores :
NICO:
Score (x) = 81.6
Mean (m) = 72.6
Standard deviation (sd) = 15
EMILIO:
Score (x) = 225.3
Mean (m) = 205
Standard deviation (sd) = 29
ALISSA:
Score (x) = 8.08
Mean (m) = 7.2
Standard deviation (sd) = 0.4
STANDARDIZING THE DIFFERENT APTITUDE TEST SCORES:
OBTAINING THE ZSCORES :
Zscore = (x - mean) / standard deviation
NICO:
Zscore = (81.6 - 72.6) / 15
Zscore = 0.6
EMILIO:
Zscore = (225.3 - 205) / 29
Zscore = 0.7
ALISSA:
Zscore = (8.08 - 7.2) / 0.4
Zscore = 2.2
From the result of the Zscore, the best fit for the position is ALISSA
2x + 5 = 2x - 3 please help
Answers
Answer:
X=0
Step-by-step explanation:
most likely it's zero i also double checked it too so I think,you should be good.
a car has a 45% mark up. the wholesale cost is 9,000. what is the selling price
Answers
Answer:
I would think that would be $200
Tourism is extremely important to the economy of Florida. Hotel occupancy is an often-reported measure of visitor volume and visitor activity (Orlando Sentinel). Hotel occupancy data for February in two consecutive years are as follows.
Current Year Previous Year
Occupied Rooms 1,470 1,458
Total Rooms 1,750 1,800
Required:
a. Formulate the hypothesis test that can be used to determine if there has been an increase in the proportion of rooms occupied over the one-year period.
b. What is the estimated proportion of hotel rooms occupied each year?
c. Calculate the test statistic.
d. What is the p-value?
Answers
Answer:
Explained below.
Step-by-step explanation:
In this case we need to determine if there has been an increase in the proportion of rooms occupied over the one-year period.
(a)
The hypothesis can be defined as follows:
H₀: The proportion of rooms occupied over the one-year period has not increased, i.e. p₁ - p₂ ≤ 0.
Hₐ: The proportion of rooms occupied over the one-year period has increased, i.e. p₁ - p₂ > 0.
(b)
The information provided is:
n₁ = 1750
n₂ = 1800
X₁ = 1470
X₂ = 1458
Compute the sample proportions and total proportions as follows:
[tex]\hat p_{1}=\frac{X_{1}}{n_{1}}=\frac{1470}{1750}=0.84\\\\\hat p_{2}=\frac{X_{2}}{n_{2}}=\frac{1458}{1800}=0.81\\\\\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{1470+1458}{1750+1800}=0.825[/tex]
(c)
Compute the test statistic value as follows:
[tex]Z=\frac{\hat p_{1}-\hat p_{2}}{\sqrt{\hat p(1-\hat p)\times [\frac{1}{n_{1}}+\frac{1}{n_{2}}]}}[/tex]
[tex]=\frac{0.84-0.81}{\sqrt{0.825(1-0.825)\times [\frac{1}{1750}+\frac{1}{1800}]}}\\\\=2.352[/tex]
The test statistic value is 2.352.
(d)
The decision rule is:
The null hypothesis will be rejected if the p-value of the test is less than the significance level.
Compute the p-value as follows:
[tex]p-value=P(Z>2.352)=1-P(Z<2.352)=1-0.99061=0.00939[/tex]
The p-value of the test is very small. The null hypothesis will be rejected at any significance level.
Thus, there enough evidence suggesting that there has been an increase in the proportion of rooms occupied over the one-year period.
2w − w = 15
explain if possible, please
Answers
Answer:
2w - w = 15You subtract w from 2w and u remain with w.w = 15what i the scientific notation of 13400000
correct answer only
Answers
Answer:
1.34 x 10^7
Step-by-step explanation:
I hope this helped!
Vince has 10 boxes into his truck
Answers
Answer:
Here, x represents the number of 20-pound boxes and y represents the number of 30 pound boxes.
Step-by-step explanation:
I think is the same question for this answer
A square picture frame encloses a picture with area 65in2. Use the formula s=A‾‾√ to find the length of one side of the picture. Round your answer to the nearest tenth of a inch.
Answers
To find the side length take the square root of the area
The square root of 65 is about 8.06 or 8.1
Each side would be about 8.1 inches
Plz help me with this
Answers
Answer:
63°
Step-by-step explanation:
Hi there !
ABCD parallelogram => ∡A = ∡C
13x - 41 = 6x + 15
13x - 6x = 15 + 41
7x = 56
x = 56 : 7
x = 8
∡C = 6×8 + 15 = 48 + 15 = 63°
Good luck !
What is 15:2=n:8
Solve for n
Answers
Answer:
2+|3x|=2+3
in(x)+2=5
x-4>7
Marco has a collection of 437 bottles. Each month he buys 32 bottles .
Answers
Answer:
what is the question
Step-by-step explanation:
There are 364 first-grade students in park elementary school. If there are 26 more girls than boys, how many girls are there?Use polya's strategy and make an equation.
Answers
Answer:
there are 195 girls
Step-by-step explanation:
the equation is: 364= 2x+26
subtract 26 from both sides and you get 338
338 divided by 2 is 169, therefore there are 169 boys.
169+26 more girls is 195
169+195= 364
1. Suppose y varies directly as x. If y = 3 when x = 15. then find x when y = 5.
Answers
Answer:
when y=3,X=15
here X is five times the value of y
so now when y= 5 then the value of X will be 25
hope you understand......
When the value of y is 5 then the value of x will be 25.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that,
y ∝ x
If y = 3 then x = 15
As a result,
x = 5y
Put y = 5 in the above relation,
x = 5 × 5
x = 25
Thus, when the value of y is 5 then the value of x will be 25.
Learn more about the function here:
brainly.com/question/5245372
#SPJ5
F(x)=-(2x-1)^2-2. What is the value of f(-3)
Answers
Work Shown:
f(x) = -(2x-1)^2 - 2
f(-3) = -(2*(-3)-1)^2 - 2 ... replace every x with -3
f(-3) = -(-6-1)^2 - 2
f(-3) = -(-7)^2 - 2
f(-3) = -49 - 2
f(-3) = -51
Nick has some quarters and dimes. He has 17 coins worth a total of $3.35. How many of each type
of coin does he have?
Answers
q + d = 17
0.25q + 0.10d = 3.35$
———————
-0.10( q + d = 17)
-0.10q -0.10d = -1.7
-0.10q -0.10d = -1.7
0.25q + 0.10d = 3.35
Add the equations together
0.15q = 1.65
/0.15 on both sides
q = 11
———————
q + d = 17
11 + d = 17
-11 on both sides
d = 6
———————
0.25q + 0.10d = 3.35
0.25(11) + 0.10(6) = 3.35
2.75 + 0.60 = 3.35
3.35 = 3.35
———————
Answers:
11 Quarters
6 Dimes
Factor the expression using the GCF: 12x + 36 *
2(6x + 18)
314x + 12)
4(3x + 9)
12(x + 3)
Answers
The answer fam is.........12(x + 3)
If f(x) = -3x - 5 and g(x) = 4x-2, find (f -g)(x).
Answers
Answer:
(f - g)(x) = -7x - 3
Step-by-step explanation:
Step 1: Define
f(x) = -3x - 5
g(x) = 4x - 2
Step 2: Find (f - g)(x)
(f - g)(x) = -3x - 5 - (4x - 2)
(f - g)(x) = -3x - 5 - 4x + 2
(f - g)(x) = -7x - 3