write the slope-intercept form of the equation of the line trough the given point with the given slope.
trough : (1, -4), slope= -8
A.y=8x+4
B.y=-8x+4
C.y=4x+8
D.y=3x+8

Write The Slope-intercept Form Of The Equation Of The Line Trough The Given Point With The Given Slope.trough

Answers

Answer 1

Given:

Point = (1,-4), Slope - 8

Point = (1,5), Slope =1

To find:

The slope-intercept forms of the given lines.

Solution:

The slope intercept form of a line is:

\(y=mx+b\)

The point slope form is:

\(y-y_1=m(x-x_1)\)

where, m is the slope of the line.

We have, Point = (1,-4), Slope - 8. So, the equation of the line is:

\(y-(-4)=-8(x-1)\)

\(y+4=-8x+8\)

\(y=-8x+8-4\)

\(y=-8x+4\)

Therefore, the correct option is B.

We have, Point = (1,5), Slope =1. So, the equation of the line is:

\(y-5=1(x-1)\)

\(y-5=x-1\)

\(y=x-1+5\)

\(y=x+4\)

Therefore, the correct option is D.


Related Questions

Electricity consumption. An economist studying the relation between household electricity consumption (Y) and number of rooms in the home (X) employed linear regression model (2.1) and obtained the following residuals: Plot the residuals e _i against X _i. What problem appears to be present here? Might a transformation alleviate this problem?

Answers

A linear regression model of the form Y = β0 + β1X + ε can be written as:

Yi = β0 + β1Xi + ei .

A linear regression model of the form Y = β0 + β1X + ε can be written as:

Yi = β0 + β1Xi + ei

Where ei is the residual for observation i. The plot of ei against Xi is known as a residual plot. The purpose of a residual plot is to check for non-linearity, unequal error variances, and outliers.

In this case, it appears that there is non-linearity present in the data. There appears to be a curved pattern in the residuals, suggesting that a linear regression model may not be the best approach to analyzing the relationship between Y and X. A transformation of the data, such as taking a logarithm of the variables, could potentially alleviate the non-linearity in the data.  This could potentially improve the fit of the linear regression model.

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Which weighs more: a watermelon that weighs 7.5 kilograms or a baby that weighs 12 pounds? Explain your reasoning. Note: 1 pound is about 0.45 kilograms.

Answers

Answer: The watermelon weighs more than the baby.

Step-by-step explanation:

I think that the watermelon that weighs 7.5 kilograms is more than a baby because 1 pound is 0.45 kilograms. So that means that 7.5 kilograms is 16.53 pounds which weighs more than 12 pounds.

The watermelon weight is more than baby weight.

What is Measurement unit?

A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.

Given that;

A watermelon weighs = 7.5 kilograms

And, A baby weighs = 12 pounds

Now,

Since, 1 kg = 2.2 pounds

Hence, The watermelon weight = 7.5 x 2.2 pounds

                                                  = 16.5 pounds

Thus, The watermelon weight is more than baby weight.

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Please help please!!!!!!!!!!!!!!

Please help please!!!!!!!!!!!!!!

Answers

Answer:

the last one

Step-by-step explanation:

State what additional information is required in order to know the
triangles are congruent using the theorem or postulate listed.

State what additional information is required in order to know thetriangles are congruent using the theorem

Answers

Answer: line ZX is congruent to line VX (option 4)

Step-by-step explanation:

We already know <X is congruent to <X, we also know that line YX is congruent to line XW. Now all we need is one more line adjacent to X which is going to be ZX ad VX

Marco needs to buy some cat food. The nearest store, six bags of cat food cost $25.50. How much would Marco spend on five bags of cat food?

Answers

Answer:

$25.50/6=$4.25

$4.25*5=$21.25

Step-by-step explanation:

your answer

What’s is 93875748282858828819482 - 3826283 have fun

Answers

Answer:

9.3875748e+22

Step-by-step explanation:

Evaluate. [(1 1/5−2/5)⋅(−3/4)3]÷(−9) What is the value of the expression? Enter your answer as a simplified fraction in the box.

PLEASE answer quick please thank you

Answers

Answer:

1/5 or 0.2

Step-by-step explanation:

Conversion a mixed number 1 1/ 5

to a improper fraction: 1 1/5 = 1 1/ 5

= 1 · 5 + 1/ 5

= 5 + 1/ 5

= 6/ 5

To find a new numerator:

a) Multiply the whole number 1 by the denominator 5. Whole number 1 equally 1 * 5/ 5

= 5/ 5

b) Add the answer from previous step 5 to the numerator 1. New numerator is 5 + 1 = 6

c) Write a previous answer (new numerator 6) over the denominator 5.

One and one fifth is six fifths

Subtract: 6/ 5

- 2/ 5

= 6 - 2/ 5

= 4/ 5

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(5, 5) = 5. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 5 × 5 = 25. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - six fifths minus two fifths = four fifths.

Multiple: the result of step No. 2 * (-3/ 4

) = 4/ 5

* (-3/ 4

) = 4 · (-3)/ 5 · 4

= -12/ 20

= -3 · 4/ 5 · 4

= -3/ 5

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(-12, 20) = 4. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - four fifths multiplied by minus three quarters = minus three fifths.

Multiple: the result of step No. 3 * 3 = -3/ 5

* 3 = -3 · 3/ 5 · 1

= -9/ 5

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(-9, 5) = 1. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - minus three fifths multiplied by three = minus nine fifths.

Divide: the result of step No. 4 : (-9) = -9/ 5

: (-9) = -9/ 5

· -1/ 9

= -9 · (-1)/ 5 · 9

= 9/ 45

= 9 · 1/ 9 · 5

= 1/ 5

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of -9/ 1

is 1/ -9

) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, cancel by a common factor of 9 gives 1/ 5

.

In other words - minus nine fifths divided by minus nine = one fifth.

7-20. The two triangles below are congruent. Write a congruence statement relating the triangles. Describe a sequence of transformations that maps one onto the other. N E 10 10 8 . ​

7-20. The two triangles below are congruent. Write a congruence statement relating the triangles. Describe

Answers

Step-by-step explanation:

m ( < E ) = m ( < N )

m ( < H ) = m ( < J )

m ( < A ) = m ( < O )

NH = EJ

NA = EO

AH = JO

11. Engineering The maximum load for a certain elevator is 2000 pounds. The total
weight of the passengers on the elevator is 1400 pounds. A delivery man who weighs
243 pounds enters the elevator with a crate of weight w. Write, solve, and graph an
inequality to show the values of w that will not exceed the weight limit of the elevator.

Answers

The inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.

What is inequality?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.An inequality is a mathematical relationship between two expressions and is represented using one of the following -

        : less than or equal to

        : greater than or equal to

        < : less than

        > : greater than

        : not equal to

Given is the maximum load for a certain elevator is 2000 pounds. The total weight of the passengers on the elevator is 1400 pounds. A delivery man who weighs 243 pounds enters the elevator with a crate of weight [w].

We can write the inequality as follows -

        1400 + 243 + w ≤ 2000

        w + 1643 ≤ 2000

Solving the inequality, we get -

        w + 1643 ≤ 2000

        w ≤ 2000 - 1643

        w ≤ 357

Refer to the graph attached.

Therefore, the inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.

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11. Engineering The maximum load for a certain elevator is 2000 pounds. The totalweight of the passengers

A number divided by 7 is 14 write an equation

Answers

Answer:

98÷7=14 cuz 14×7=98

Step-by-step explanation:

Sam wants to build a wooden deck on his patio, which is in the shape of a parallelogram. The

area of the patio is 350 ft2. Find the base. Round your answer to the nearest foot.

Hint : Use A = bh.

Answer is 18.7

Answers

We can use fractions and the information that the length of the base is 18.3 feet to find the solution to our problem.

What is a fraction?

Fractions are used to represent the parts or elements of a whole or a set of items. A fraction is made up of two parts - the numerator and the denominator.

The numerator is the number at the top of the fraction line and indicates how many equal parts were taken from the total or collection. The denominator is the number at the bottom of the fraction line and represents the total number of identical objects in the collection or the number of equal sections that the whole is divided into.

There are three ways to express a fraction: as a fraction itself, as a percentage, or as a decimal. Each of these three representation methods will be examined.

According to our question-

The patio is 280 square feet in size. locate the base.

Height = 5x Area = 280 feet square

Base = 6x

The parallelogram A's area can be expressed mathematically as;

Base + height equal area.

A = b×h

the values of area, base, and height are substituted.

280 = 5x × 6x = 30x² \sx² = 280/30 \sx = √(280/30)

Given that the base is 6x,

swapping out x's value.

Base = 6x = 6(√(280/30))

Base=18.3 feet

18.3 ft tall is the base

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Complete question:

HELP ME! i know this isn't math but people don't help me so i used this sudject anyways please & thank you <333

HELP ME! i know this isn't math but people don't help me so i used this sudject anyways please &amp;

Answers

Answer:

6.0 mm = 0.6 cm

576,999 ms = 576.999 s

0.0075 kg = 7500 mg

1,855 cl = 0.1855 hg

435 kPa in Pa = 435000

0.0000035 hs in ms = 0.35

350,000,000 mJ in kJ = 350

Step-by-step explanation:

i hope this helped !! <33

its not b, i just have it hovered over it

its not b, i just have it hovered over it

Answers

its 1 cause whenever x is written, it always equals one

solve this plsss
carnegie plsssssssss

solve this plssscarnegie plsssssssss

Answers

If you made a total of 63 posts, it takes 126 days.

What is multiplication?

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given:

To make a post, it takes two days.

You made a total of 63 posts.

The number of days,

= 2 x 63

= 126

Therefore, time taken is 126 days.

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The complete question:

To make a post, it takes two days.

If you made a total of 63 posts, how many days did it take?

(URGENT PLEASE HELP)

The vertex of this parabola is at (5, 5). When the x-value is 6, the
y-value is -1. What is the coefficient of the squared expression in the parabola's equation?

a) 4
b) -6
c) 6
d) -4

(URGENT PLEASE HELP) The vertex of this parabola is at (5, 5). When the x-value is 6, the y-value is

Answers

Answer:

-6

Step-by-step explanation:

A parabola is vertex form is written as

y = a(x-h)^2 +k  where (h,k) is the vertex

Substituting in the vertex

y = a(x-5)^2 +5

We know a point on the parabola so we can find a

-1 = a( 6-5)^2 +5

-1 =a(1)^2+5

-1 = a +5

Subtract 5 from each side

-1-5 = a

-6 =a

Mariana wants to put 6 3 4 feet of border across the top of a wall. 6 She has 3 feet of border. What fraction of the project can she complete? 7 Enter your answer in the boxes . 12 -​

Answers

I might get the answer wrong but I think it is-12

divides a line segment at the middle

Answers

Answer:  Midpoint

Step-by-step explanation:

Midpoint is the point that is equal distance from the endpoints.

Question 38.
Write the first six terms of the arithmetic sequence with the first​ term, a1 = 240, and common difference, d= 24.

The first six terms are a1 = ,a3= , a4= ,a5= , and a6= .

Answers

\(a(1) = 240 \\ a(2) = a(1) + d = 240 + 24 = 264 \\ a(3) = a(2) + d = 264 + 24 = 288 \\ a(4) = a(3) + d = 288 + 24 = 312 \\ a(5) = a(4) + d = 312 + 24 = 336 \\ a(6) = a(5) + d = 336 + 24 = 360\)

Evaluate x3 for x = 2

Answers

Answer:

8

Step-by-step explanation:

x^3

Let x=2

2^3

2*2*2

8

Answer: 9

Step-by-step explanation:

Ruguru wants to rent a car for 3 days. The cost,C , in dollars, for the rental is shown in the box, where D is the number of days the car is rented If Ruguru has 115, how much more will he need to rent a car for 3 days?

Answers

Ruguru need $15 more to rent a car for 3 days.

Given,

Number of days Ruguru wants to rent a car = 3 days

The amount Ruguru has with him = $115

The cost for the rental of the car:

C = 25 + 35D

Where,

D is the number of days

Now,

Lets find the total rent of the car for 3 days

C = 25 + 35D

C = 25 + 35 × 3

C = 25 + 105

C = 130

The total rent of a car for 3 days is $130

We have to find the amount needed by Ruguru to rent a car for 3 days.

That is,

Total rent - Amount Ruguru has = Amount needed

130 - 115 = 15

Therefore,

Ruguru need $15 more to rent a car for 3 days.

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Is (3, 28) a solution to 4x-y=-16

Answers

Answer:

Yes

Step-by-step explanation:

4(3) - 28 = -16

12= -16 + 28

12 = 12

Hope that helps!

help with my geometry please​

help with my geometry please

Answers

Answer:

x = 11

z = 86

Step-by-step explanation:

8x + 6 and 10x-16 are vertical angles

Vertical angles are pairs of angles that are opposite each other and have the same vertex, or point of intersection. They are formed when two lines intersect at a point, and are always congruent, or of equal measure.

To solve this equation, we need to isolate the variable x on one side of the equation. To do this, we can start by subtracting 6 from both sides of the equation:

8x + 6 - 6 = 10x - 16 - 6

8x = 10x - 22

Now we can subtract 8x from both sides of the equation:

8x - 8x = 10x - 22 - 8x

0 = 2x - 22

To solve for x, we can add 22 to both sides of the equation:

0 + 22 = 2x - 22 + 22

22 = 2x

Finally, we can divide both sides of the equation by 2 to find the value of x: 22 / 2 = 2x / 2

x = 11

Therefore, the solution to the equation is x = 11.

Now that we have x, z is a supplementary angle to 8x + 6 (or you could do 10x - 16)

Supplementary angles are pairs of angles that add up to 180 degrees. They are formed when two lines intersect at a point, and the angles formed at the intersection are supplementary.

First plug in x, 8x + 6 = 8(11) + 6 = 88 + 6 = 94

180 - 94 = z

z = 86

An equilateral triangle has height of 13. The perimeter is 321 feet. What is the area of the triangle?

Answers

Answer:

4957.56

Step-by-step explanation:

Call the 3 sides of the triangle as a,b,c.

We have : a + b + c = 321
Since it's an equilateral triangle, a=b=c
=> a = b = c = 321/3 = 107ft.

To calculate an area of an equilateral triangle, we can use the formula :

\(\sqrt{3}\\\)/4 x \(a^{2}\)

=> A = \(\sqrt{3}\\\)/4 x \(107^{2}\) = approx. 4957.56



for each of the cases in the previous problem, notice that there is a relationship between the mean and variance. calculate the ratio varyi eyi in each case. which has the greatest variance relative to the mean?

Answers

The given problem involves the calculation of the ratio of varyi eyi for each of the cases in the previous problem, where there is a relationship between the mean and variance.

The ratio of varyi eyi represents the variance of the data points relative to their mean. To calculate this ratio, we need to find the variance and mean of the given data set. The variance represents the spread of data points around the mean. If the variance is high, then the data points are spread out widely, indicating a large deviation from the mean.

On the other hand, if the variance is low, the data points are clustered closely around the mean, indicating a small deviation from the mean. After calculating the variance and mean, we can find the ratio of varyi eyi for each case. The case with the greatest variance relative to the mean will have the highest ratio of varyi eyi.

This ratio is an important measure of the variability of the data set. In conclusion, to solve the given problem, we need to calculate the ratio of varyi eyi for each case and compare them to find the case with the highest ratio. This will help us understand the variable of the data set and how it relates to the mean.



To analyze this, let's first define the terms:

1. Mean: The average of a set of data points, calculated by summing all data points and dividing by the total number of points.


2. Variance: A measure of how spread out a set of data points is, calculated by averaging the squared differences between each point and the mean.


3. Ratio: A comparison between two quantities, expressed as a fraction.

Once you have calculated the ratio of variance to mean for each case, compare the values to determine which case has the greatest variance relative to the mean. The case with the highest ratio value will have the greatest variance relative to the mean.

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What type of triangle is this ?

What type of triangle is this ?

Answers

Answer:

triangle bby

Step-by-step explanation:

Step-by-step explanation:

Right because there's an angle of 90

Atlantic Hurricanes
Number
1925
1930
1935
1940
1945
1950
1955
1960
1965
1970
1975
Year
Between which years was
the biggest change in the
number of hurricanes?

Answers

Answer:

1933

there where a total number of 20 hurricanes recorded that year

Which equation for a line with a slope of -3 and a y intercept of 4? Multiple Choice Answer: y=-4+3, y= - 3/4x+4, y=-3x+4, y= - 4\3x-3. HElP QUICKLY

Answers

y=-3x+4

dedont be suspicoes

A MOP TO CLEAN CULO

c

c

c

c

c

nico wanted to determine the number of students in his school who buy school lunch. he walked around the cafeteria one lunch period looking to see whether every fifth person in the cafeteria purchased lunch or brought their own. which method did he use to collect his data? survey simulation experiment observational study

Answers

Answer:

Observation

Step-by-step explanation:

He walked around seeing if every fifth person bought lunch

Survey - Requires asking questions

Simulation - Needs prior data to make an estimation

Experiment - Testing something

Observation - Just observing and watching

Study - Looking up data

The method he used to collect his data is observational method.

When do we perform observational study, sample survey, controlled experiment, or random experiment?

Observational study is usually chosen when the researches the system is likely to produce different result if interfered.

Sample survey is done if the population is too big to analyze or destructible as the analysis occurs.

Controlled experiment is done manually, specifically to deduce conclusions. Its steps are fixed.

Random experiment is done specifically to deduce conclusions, but it is done in a random manner.

We are given that;

He saw every fifth person in cafeteria

Now,

An observational study is a method of collecting data by observing and recording the behavior or characteristics of individuals or groups without interfering or manipulating any variables. Nico did not ask any questions or change any conditions, he just observed whether every fifth person in the cafeteria bought lunch or brought their own.

Therefore, by sampling the answer will be observational method.

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After buying a jacket that cost $47, Marilyn had $6 left in her wallet. Write a SUBTRACTION equation to find the amount of money Marilyn had in her wallet before she bought the jacket.

Answers

Answer:

$53

Step-by-step explanation:

53-47=6

time-use data show that married american women have cut their housework time roughly in half over the last half-century, while men have:

Answers

Over the last half-century, time-use data has shown that married American women have significantly reduced their housework time, cutting it roughly in half.

This change can be attributed to various factors such as advancements in home appliances, shifting gender roles, and increased participation of women in the workforce. On the other hand, men have gradually increased their contributions to housework during this period.
This shift in housework responsibilities can be attributed to societal changes that promote a more equitable distribution of domestic tasks between partners. As gender norms have evolved, men are increasingly taking on roles that were once predominantly associated with women, leading to a more balanced approach to housework within households. Additionally, the rise in dual-income families has necessitated a more equal division of domestic responsibilities.
In summary, over the past 50 years, married American women have seen a considerable decrease in housework time, while men have increased their contributions. This change reflects evolving gender roles and societal expectations, promoting a more equal division of labor within households.

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Get the general answer to each of the following equations i. y" + 6y' + 13y = e-3x sin(2x)ii. y(x2y" + y) = (xy')2 iii. xy' + 2y = -x3y2 cos x QuestionSolve for x.4 (x 20) = 20Enter your answer in the box.x = ? Select the correct navigational path to hide a worksheet. Click the tab on the ribbon to the Cells gallery. Select and use that drop-down menu to select . Then Hide Sheet. compare and contrast the ecosystem concepts of niche and habitat. identify three different types of consumers ________ uses statistical methods, algorithms, and mathematics to find patterns in a data set that uniquely identify an individual. ________ uses statistical methods, algorithms, and mathematics to find patterns in a data set that uniquely identify an individual. Profiling Data masking Mirroring Triangulation Which value of "X" is a solution to this equation?4x2 +22x +10 Barnes Company reports the following for its product for its first year of operations. Direct materials$ 32per unit Direct labor$ 22per unit Variable overhead$ 12per unit Fixed overhead$ 60,000per year Variable selling and administrative expenses$ 2per unit Fixed selling and administrative expenses$ 24,000per year The company sells its product for $150 per unit. Compute gross profit using absorption costing assuming the company (a) produces and sells 2,400 units and (b) produces 3,000 units and sells 2,400 units. Why did Theodora work to change divorce laws in the Byzantine Empire? Which function is f(5) for the function -2x^2+2x-3A: -107B: -63C: -43D: -37 RATE MY SINGING: what you know about rolling down in the deep when your brain goes numb you call that mental freeze if I gave you all my love would that make you happy yeah yeahhh eyahh Explanations Describe how animals use pheromones to attractpotential mates. A rectangle is 13 feet long and 4 feet wide. Find its area. Suppose that the current one-year rate (one-year spot rate) and expected one- year T-bill rates over the following three years (i.e., years 2, 3, and 4,respectively) are as follows:1R1 = 0.4%, E(2r 1) = 1.4%, E(3(1) = 10.7%, E(411) = 11.05% Using the unbiased expectations theory, calculate the current (long-term) ratefor the four-year-maturity Treasury security (i.e., 1Ra)(Round your answers to 3 decimal places. (e.g., 32.161)) When urchin barrens have persisted for a long time, the large population of urchins does not drop dramatically as ecologists would have expected when their food sources become scarce. Instead, individuals in the large population exist on the edge of starvation without a drastic reduction in reproductive rate. This makes each urchin contain few nutrients and few calories. Therefore, if we were to make a list of prey items according to the Optimal Foraging Theory that included both kelp forest urchins and urchin barren urchins, which one would be the better prey item and therefore higher on the list? (Sidenote: as a consequence of this, populations of otters in kelp forests that are in the process of transitioning into urchin barrens around Monterey Bay do not appear to eat urchin barren urchins, allowing them to persist.)mcq options:kelp forest urchinsurchin barren urchinsboth are the same, they're both urchins The sum of two numbers is 40. The second number is 5 less than twice the first number. Let x represen and let y represent the second number. What is the value of the first number? Use the table to guess ar Numbers x + y = 40 y = 2 O 15 20 O 25 O 30 An ideal-gas process is described by p=cV1/2, where c is a constant. Part A Find the expression for the work done on the gas in this process as the volume changes from V1 to V2. Part B 0.043 mol of gas at initial temperature of 150C is compressed, using this process,from 250 cm3 to 200 cm3. How much work is done on the gas? Express your answer with the appropriate units. Part C What is the final temperature of the gas in C? can someone please help me with this its for economics Im genuinely confused and I need help ASAP!! Jesse took a survey of her classmates on how many pairs of shoes they owned.Which frequency distribution matches the data{3,8,5,6,4,3,7,8,9,5,5,6,4,12,14,10,8} pleaseee helppppp!!! Easy points because I got points to blow,