A line contains the points (4, 5) and (3,-9). Write the equation of the line using slope-intercept form. A. y=-2x - 3 B. y = 2x – 15 C. 1 yax +3 2 1 V= -X-7 2​

Answers

Answer 1

Answer:

Y =-4X +21

Step-by-step explanation:

x1 y1  x2 y2

4 5  3 9

   

(Y2-Y1) (9)-(5)=   4  ΔY 4

(X2-X1) (3)-(4)=    -1  ΔX -1

   

slope= -4          

B= 21          

   

Y =-4X +21    


Related Questions

A cube has an edge of 8cm. Calculate its Volume.​

Answers

Answer:

512cm³

Step-by-step explanation:

to get the volume the formula is Base area x height

BA X H

=8x8x8 because all sides of a cube are equal

=512cm³

f(x) = V2x
g(x) = V18x
Find (f .g)(x). Assume x2 0.

Answers

Answer:

fog(x) is D = 6[tex]\sqrt{x}[/tex]

Step-by-step explanation:

I. square all value, so f(x) is 2x then g(x) is 18x

II. Replace x.value in f(x) with g(x).value = 2(18x)

III. If x is 1, 2(18*1) will be 36; find root, so answer is 6

If x is 2, 2(18*2) will be 72; find root, so answer is 6[tex]\sqrt{2}[/tex]

Hope it help, sorry if I'm done it wrong, but I think it's gonna be the right answer. :)

A random sample of 49 measurements from a population with population standard deviation σ1 = 4 had a sample mean of x1 = 11. An independent random sample of 64 measurements from a second population with population standard deviation σ2 = 5 had a sample mean of x2 = 14. Test the claim that the population means are different. Use level of significance 0.01. What distribution does the sample test statistic follow? Explain.

Answers

Answer:

Reject H0 and conclude that population means are different.

Step-by-step explanation:

H0: μ1 = μ2

H1: μ1 ≠ μ2

x1 = 11 ; σ1 = 4 ; n1 = 49

x2 = 14 ; σ2 = 5 ; n2 = 64

The test statistic :

(x1 - x2) / sqrt[(σ1²/n1 + σ2²/n2)]

Test statistic :

(11 - 14) / sqrt[(4²/49 + 5²/64)]

Test statistic :

-3 / √0.7171556

Test statistic = - 3.542

Using α = 0.01

The critical value Zα/2 ; Z0.01/2 = 2.58

Decison region :

Reject H0 : if Test statistic < Zcritical

Reject H0 : - 3.542 < - 2.58

Question 4 4 pts Lori buys a $1500 certificate of deposit (CD) that earns 6% interest that compounds monthly. How much will the CD be worth in: 5 years? 10 years? 486 months?

Answers

Answer:

Step-by-step explanation:

5 years

[tex]1500(1+\frac{.06}{12})^{12*5}=2023.275229[/tex]

10 years

[tex]1500(1+\frac{.06}{12})^{10*12}=2729.095101[/tex]

486 months:

[tex]1500(1+\frac{.06}{12})^{486}=16935.47074[/tex]

round those as you please

We know that a class interval must be greater than what the I formula solution is; however... What is the solution for class interval (for the formula) for a frequency distribution if the data ranges from 100 to 220 with 50 observations?

Answers

Answer:

Therefore the answer is 20.

Step-by-step explanation:

We know that

class interval = range / number of classes

But here number of classes is not given , so we use the formula

class interval = range / ( 1+ 3.322 log N)

where , range =maximum - minimum = 220-100 = 120

N= number of observations = 50

class interval = 120 / ( 1+ 3.322 * log 50) = 18.06

Rounding up to a convinient number

Thus , class intervai = 20

Therefore the answer is 20.

Question 1 of 28
What is the length of the short leg in the 30-60-90 triangle shown below?
30
513
60
A. 525
B. 10
O c. 5
D. 515

Answers

Answer: 5

Step-by-step explanation:

Remember the relationships of the sides of a 30-60-90 triangle. The longer leg is sqrt(3) times the value of the shorter leg. By dividing 5[tex]\sqrt{3\\}[/tex] with [tex]\sqrt{3}[/tex] you get 5 as the length of the shorter leg.

What is a40
a
40
of the arithmetic sequence for which a8=60
a
8
=
60
and a12=48
a
12
=
48
?

Answers

9514 1404 393

Answer:

  -36

Step-by-step explanation:

Using the expression for the general term, you can fill in the known values and solve for the parameters of the sequence.

  an = a1 +d(n -1)

  a8 = a1 + d(8 -1) = 60

  a12 = a1 + d(12 -1) = 48

The difference of these equations is ...

  (a1 +7d) -(a1 +11d) = (60) -(48)

  -4d = 12

  d = -3

Substituting into the first equation, we have ...

  a1 +7(-3) = 60

  a1 = 81 . . . . . . . . . add 21

Then the 40th term is ...

  a40 = 81 -3(40 -1) = 81 -117

  a40 = -36

Any help here please

Answers

Answer:

A

Step-by-step explanation:

JUst answered same question

the figure below to answer the questions that follow 6cm LO 3.3.1 Calculate the angle, 60, in radians. (2) 3.3.2 Calculate the area of the minor sector (the "slice that has been cut out). (3) 3.3.3 Calculate the area of the major sector (4) 3.3.4 Calculate the arc length of the minor sector (3) 3.3.5 Calculate the arc length of the major sector. (3) [30]​

Answers

Answer:

it's very hard

im sorry dunno

Which function is represented by the table of values below?

Answers

Answer:

A. y = -x + 1

Step-by-step explanation:

The function can be represented in the slope-intercept form such as y = mx + b

m = slope = change in y/change in x

b = y-intercept = the starting value or the value of y when x is 0.

✔️Find slope (m) using two pair of values from the table, say (0, 1) and (1, 0):

Slope (m) = (0 - 1)/(1 - 0) = -1/1

Slope (m) = -1

✔️ y-intercept (b) = 1 (y = 1 when x is 0)

✔️Write the equation by substituting m = -1 and b = 1 into y = mx + b:

y = -1(x) + (1)

y = -x + 1

Complete the sentence below.

The expression 52x – 169 is equivalent to 13(
)

Answers

Answer:

13(4x-13)

if you distribute it then you come back with 52x-169.

Answer:

its D 4x- 13

Step-by-step explanation:

i just did the question

Solve for x in this equation: 3/4+|5-x|=13/4

Answers

The answer is -5/7
Find the lcm of the denominator
And then use the lcm to multiple

what is the domain of f(x)=3x/x-1​

Answers

Interval Notation:
(−∞,1)∪(1,∞)
Set-Builder Notation: {x|x≠1}

Bài 2: Một công ty XNK Việt Nam nhận được tiền bán hàng từ hơp đồng XK là 35.000.000 JPY, đồng thời phải thanh toán tiền mua nguyên vật liệu NK là 3.500.000 CNY. Tại thời điểm thực hiện hợp đồng, NH niêm yết các tỷ giá giao ngay như sau: USD/JPY = 128,15/27 USD/CNY = 9,5575/91 USD/VND = 19.125/38 Hỏi tài khoản VND của công ty còn bao nhiêu tiền sau khi đã thực hiện các hơp đồng trên? Nêu ra phương án thanh toán có lợi nhất cho công ty? %3D

Answers

Answer:

Ask in English then I can help

Identify the first 4 terms in the arithmetic sequence given by the explicit formula ƒ(n) = 8 + 3(n – 1).
A) 8, 11, 14, 17
B) 3, 11, 19, 27
C) 8, 5, 2, –1
D) 3, –5, –13, –21

Answers

Answer:

A

Step-by-step explanation:

an arithmetic sequence adds a constant from every previous term to create the next term.

it starts with a first term, a1, meaning that n >=1

a1 = 8 + 3×(1-1) = 8 + 3×0 = 8

so, B and D are out.

the next term is a2.

a2 = 8 + 3×(2-1) = 8 + 3×1 = 11

and so, only A can be correct.

just to verify

a3 = 8 + 3×(3-1) = 14

a4 = 8 + 3×(4-1) = 17

and it also fits overall,

starting with 8, every new term is the previous term + 3.

expand and simplify √3(√3-1)

Answers

Answer:

[tex]3 - \sqrt{3} [/tex]

Step-by-step explanation:

[tex] \sqrt{3} ( \sqrt{3} - 1)[/tex]

[tex] = \sqrt{3} \times \sqrt{3} - \sqrt{3} \times 1[/tex]

[tex] = 3 - \sqrt{3} (ans)[/tex]

The composition of a US dollar bill is 3/4 cotton and 1/4 linen. What percent of a dollar bill is cotton?

Answers

Answer:

75% cotton

Step-by-step explanation:

3/4=75%

1/4=25%

total 100%

s% of 1/r

PLEASE HELP!

Answers

Answer:

  s/(100r)

Step-by-step explanation:

The % symbol is a shorthand way of writing /100, so ...

  s% of 1/r = (s/100) × (1/r) = s/(100r)

Answer:

Solution given:

S% of 1/r=S/100*1/r=S/(100r) is a required answer.

Step-by-step explanation:

% means divide by 100.

determine a simplified expression

Answers

Answer:

For Task B: [tex]3x^4 - 2x^3[/tex]

Step-by-step explanation:

Given that Volume = l*w*h, we can plug in the values on the diagram, so we get the equation (3x-2)([tex]\frac{1}{2}x[/tex])([tex]2x^2[/tex]) = [tex](\frac{3}{2} x^2 - x)(2x^2) = 3x^4-2x^3[/tex]. Hope this helps!!!

The probability of someone ordering the daily special is 52%. If the restaurant expected 65 people for lunch, how many would you expect to order the daily special? Group of answer choices

Answers

Answer:32.5% fo people will buy

Step-by-step explanation:

mostly half of the people with order

A man whose salary is Ghs1624.5 per month received a Christmas bonus of 4/5 of his monthly salary in the month of December. Find his pay for that month.

Answers

3914 1404 393

Answer:

  Ghs 2924.1

Step-by-step explanation:

The man's pay including his bonus was ...

  (1 +4/5)(Ghs 1624.5) = Ghs 2924.1

A spinner is divided into 6 equal parts. These sections are labeled with a number 1, one section has a 2, one section has a 3, and one section has a 4. If the spinner is spun two times, what is the probability it will land on both 2 sides?

Answers

Answer:

[tex]\frac{1}{36} = 0.0278[/tex] = 2.78% probability it will land on both 2 sides.

Step-by-step explanation:

For each trial, there are only two possible outcomes. Either it lands on 2, or it does not. The probability of the spinner landing on two in a trial is independent of any other trial, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

One of the six sides is 2:

This means that [tex]p = \frac{1}{6}[/tex]

If the spinner is spun two times, what is the probability it will land on both 2 sides?

This is P(X = 2) when n = 2. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{2,2}.(\frac{1}{6})^{2}.(\frac{5}{6})^{0} = \frac{1}{36} = 0.0278[/tex]

[tex]\frac{1}{36} = 0.0278[/tex] = 2.78% probability it will land on both 2 sides.

Which equation is represented by the graph below? choices in picture ​

Answers

Answer:

y=2x+4

this the right answer

Answer:

[tex]y = -\frac{1}{2}x + 2[/tex]

Determine the x- and y- intercepts for the graph defined by the given equation. y = 7x + 3 a. x-intercept is ( 3, 0) y-intercept is (0, negative StartFraction 3 Over 7 EndFraction) c. x-intercept is (0, negative StartFraction 3 Over 7 EndFraction) y-intercept is ( 3, 0) b. x-intercept is (negative StartFraction 3 Over 7 EndFraction, 0) y-intercept is (0, 3) d. x-intercept is (3, 0) y-intercept is (negative StartFraction 3 Over 7 EndFraction, 0)

Answers

Answer:

x-intercept is (-3/7, 0) and the y-intercept is at (0, 3)

Step-by-step explanation:

Given the function y = 7x + 3

The x-intercept occurs at y = 0. Substituting y = 0 into the expression, we will have:

0 = 7x + 3

7x + 3 = 0

7x = -3

x = -3/7

Similarly, the y-intercept occurs at x = 0. Substituting x = 0 into the expression, we will have:

y = 7(0) + 3

y = 0 + 3

y = 3

Hence the x-intercept is (-3/7, 0) and the y-intercept is at (0, 3)

Based on the information in table 3, how many females from a randomly selected population of 100,000 females live to the age of 38?

Answers

Answer:

According to the table, 97,825 females from a randomly selected population of 100,000 females live to the age of 38.

Step-by-step explanation:

Answer:

See image

Step-by-step explanation:

Plato

Find: |-8|
о 0
О -1
0 8
О - 8

Answers

Answer:

|-8|

= |-8| = 8

|-8|. |-a = a , a> o

= 8

PLEASE HEP ME
PLEASE HELP AND BE CORRECT BEFORE ANSWERING

Answers

9514 1404 393

Answer:

TrueTrue

Step-by-step explanation:

The center of dilation (point D) is a point that doesn't move. Any line not through that point will be moved to a parallel location when a dilation factor is applied.

Any line through the center of dilation will still go through the center of dilation. Its slope does not change, so the line will appear to be the same.

  AB ║ A'B' — True

  AD ≅ A'D' — True

_____

You can see these relationships in the attached figure.

The two cones below are similar. What is the value of x?
A. 0.16
B. 0.32
C. 0.4
D. 0.8

Answers

Answer:

.8

Step-by-step explanation:

The ratios have to be the same for the cones to be similar

10       4

----- = ------

2         x

Using cross products

10x = 4*2

10x = 8

Divide by 10

x = 8/10

x = .8

Answer:

Step-by-step explanation:

The slope of the line below is 2. Which of the following is the point-slope form
of the line?

Answers

Answer:

y+1 = 2(x-1)

Step-by-step explanation:

Point slope form for a line is

y-y1 = m(x-x1)  where m is the slope and (x1,y1) is a point on the line

We are given the point(1,-1)

y --1 = 2(x-1)

y+1 = 2(x-1)

A game is played using one die. If the dio is rolled and shows 5, the player wins $35. If the die shows any number other than 5, the player wins nothing
a. If there is a charge of $7 to play the game, what is the game's expected value

Answers

Answer:

Let random variable "x" be a count of player gain.

X-values are: 4, -1

P(x=4) = 1/6; P(x= -1) = 5/6

---------------------------------

E(x) = (1/6)(4) + (5/6)(-1)

E(x) = [4-5]/6

E(x) = -1/6 = -17 cents

=============================

Cheers,

Stan H.

Other Questions
What does the term "nine life's" for a cat mean? Select the correct answer.Authors often include multiple themes in their writing. Two themes expressed in this passage areA. the quest for success can be daunting, and self-assurance is essential for facing challenges.B. it is important to feel superior to others, and fame and fortune push a person to work hard.C. the quest for mastery in a skill can be challenging, and having friends makes life easier.D. it is important to follow family traditions, and hard work does not always lead to positive results. A.If x:y= 3:5, find = 4x + 5 : 6y -3 HELP PLEASE ASAP. 50 POINTSTranslate the sequence of amino acids in sickle-cell hemoglobin into (use third valine)a) mRNA base codes b) tRNA base codes c) DNA base codes Identify this specific form element Two substances (A and B) are placed at each end of a glass tube. The vapors of the substances form a solid that is closer to substanceA's end than to substance B's end.Which conclusion will be made?O Substance A has a greater molecular mass than substance B.Substance B has a greater molecular mass than substance A.The molecular masses of both substances are the same. What type of line is PQ?A. side bisectorB. altitudeC. angle bisectorD. median Write y=2/3x+7 in standard form using intergers Antacids areA) weak acids.B) weak bases.C) strong bases.D) strong acids. is x = -3 a function The owner of a fleet of taxis contracted with a dealer in petroleum products for the purchase and sale of the taxi fleet owner's total requirements of gasoline and oil for one year. As part of that agreement, the petroleum dealer also agreed with the taxi fleet owner that for one year the petroleum dealer would place all his advertising with the taxi fleet owner's wife who owned her own small advertising agency. The wife at the time had just been offered another advertising contract with a soap company. When the wife was informed of the owner-dealer contract, she declined to accept the account from the soap company because she could not handle both the petroleum dealer and the soap company accounts during the same year. The wife was an intended beneficiary under the owner-dealer contract. The taxi fleet owner performed his contract with the petroleum dealer for six months, and during that time the petroleum dealer placed his advertising with the wife. At the end of the six months, the taxi fleet owner and the wife were divorced, and the taxi fleet owner then told the petroleum dealer that he had no further obligation to place his advertising with the wife. The petroleum dealer thereupon notified the wife that he would no longer place his advertising with her. In an action against the petroleum dealer for breach of contract, the wife will probably: _____________ H E L P !Given that the Universal set is numbers 1 through 20, write the complement of the set A.Set A : {1, 3, 7, 12, 14, 17, 19, 20} The ratio of flour to water is 2 to 1 for biscuits Is Lisa has 4 cups of flour how much water should she add to make biscuits The table represents an exponential function.What is the multiplicative rate of change of the function? what is the atomicity of Sulphur? Which situation is the best example of competition in an economic system? A restaurant just opened down the block from a movie theater, and the restaurant owner hopes to attract diners after each movie. A small CD store slashed its prices to attract customers from a larger store that sells CDs and DVDs. A store that sells sneakers has offered a special deal to customers from a nearby health club. A federal agency has been created to monitor the production and distribution of food supplements. d. A state agency has been created to monitor the production and distribution of sports drinks. 5x+2y-z=-5-x+3y+4z=12x-y-3z=-8 the Canterbury tales is important because it?A.) explains how various pilgrims acted.B.) reveals common attitudes of the time.C.) provides information about cultural ideals.D.) details the differences between social classes. what is the cosine of 122.2 A student increased the resister of the voltmeter year not the circuit