find the equation of the line passing through (2,3) and (1,5)

Answers

Answer 1

Answer:

y =-2x+7

Step-by-step explanation:

Hello : let  A(2,3)    B(1,5)

the slope is :   (YB - YA)/(XB -XA)

(5-3)/(1-2)  = 2/-1 =-2

an equation is : y=ax+b     a is a slope

y = -2x +b

 

the line through point  (2,3) :  3 = (-2)(2)+b    

b = 7

the equation is : y =-2x+7    


Related Questions

Assume that a watermelon dropped from a tall building falls y = 16t ^ 2 ft in t sec. Find the watermelon's average speed during the first 6 sec of fall​
A)97 ft/sec
B)48
c)96
D 192

Answers

Answer:

A.) 96 ft/sec

Step-by-step explanation:

to find the average speed of the watermelon's fall in 6 seconds, substitute 6 as t in the equation and then divide by 6: [tex]y = \frac{16(6)^{2} }{6} = 96 ft/sec[/tex]

Please solve this question

Answers

Answer:

Gud morning friend

Step-by-step explanation:

Sorry friend I don't know

Are these numbers rational or irrational?



0.328



√101 (square root of 101)



127.89



-89

Answers

Answer:

All rational

Step-by-step explanation:

rational = containing quantities that are expressible as a ratio of whole numbers

What is the square root of 10000000

Answers

Answer:

The rounded answer is 3162 and the actual answer is 3162.27766017

Step-by-step explanation:

Please give me brainliest. Have a good day. :)

Answer:

the square root of 10000000=√10000000=10^3√10=1000√10=3162.27766

invests $8,000 in a savings plan that pays 5% per year. What will the account balance be at the end of the first year?

Answers

The equation is I = PRT where I is the interest to, P is the principal, or money deposited, R is the rate in decimal form, and T is time in years.

I = (8,000)(0.05)(1)
I = $400

Add that to the original deposit and you have $8,400 as the account balance at the end of the first year

Chris and his friends are going to the ice cream shop
that having a sale on milkshakes. Each milkshake cost
$2.
Write an equation that represents buying any number
of milkshakes (m).
Help plz I will mark u Brainly

Answers

Answer:

2xm

Step-by-step explanation:

ercises
GUIDED PRACTICE
Solve.
1. What percent of 100 is 25?​

Answers

Answer:

25%

Step-by-step explanation:

finding for the percentage of 100 is extremely easy since 100 is the same as 100%, that makes 99 as 99%, 57 as 57%. so the answer is 25%

25
-----
100

=
1
---- ×100
4


= 0.25 ×100

= 25%

Mr. Cosgrove went out to dinner and the bill came out to $48; he tipped 8%. How

many dollars did Mr. Cosgrove tip?

Answers

Answer:

Amount = $3.84

Step-by-step explanation:

Given the following data;

Total bill = $48

Tip = 8%

To find the amount of dollars tipped?

[tex] Amount = \frac {8}{100} * 48[/tex]

[tex] Amount = \frac {384}{100} [/tex]

Amount = $3.84

Therefore, the amount of dollars Mr. Cosgrove tipped is $3.84.

round off 9.999 to the nearest 10​

Answers

Answer:

the answer is 10 you round up a nine it keeps going to the end

please help......,..​

Answers

180-90= 90
90-55=35
x=35

Answer:

try 35?

Step-by-step explanation:

what’s the slope of -2,17 and -1,5

Answers

-13,2

This is because even while adding the rest of the equivalent by the multiple to slope the rest of the fraction.

Johnny and his father go fishing at 5:00 AM. After motoring 6 km upstream, Johnny writes a letter to his friend, puts the letter in a bottle and drops it into the river. the bottle floats in the current and reaches at 7 : 40 AM the point where Johnny and his father began the trip. If the speed of the boat in still water is 9 km/h, what is the speed of the river current?

Answers

Answer:

4.5

Step-by-step explanation:

Probably too late for your RSM homework, but here is the solution:

6/(9-x) [Time they motored upstream] +6/x [Time it took the bottle to get back to the starting point] = 8/3 [Total Time]

Simplify to 54/(x(9-x))=8/3

Cross multiply: 162=(8x)(9-x)

Simplify -x^2+9x=20.25

Multiply both sides by negative one and move 20.25 to the other side. x^2-9x+20.25=0

Solve and get 4.5 :D!


[tex]0.004 \times 0 .81[/tex]

Answers

the answer is 0.00324
The answer is 0.00324
In scientific notation it is 3.24 * 10^3
As a fraction it is 81/25000

3 1/8 - 7/12 estimate the difference by rounding each fraction or mixed number to the nearest half or whole.

Answers

Answer:

2

Step-by-step explanation:

3-1=2...since the nearest whole number for the first is 3 and that of the next is 1 since it is more than a half

Answer:

2

Step-by-step explanation:

2 its becuse i muitlplyed to get the anserw and subtraction

Which polynomial represents the sum below (x^8 + 2x^4 + 1) + (2x^4 + x^2 + 1)

Answers

To add the polynomials [tex] \tt {x}^{8} + {2x}^{4} + 1 [/tex] and [tex] \tt {2x}^{4} + {x}^{2} + 1 [/tex] let us first combine the like and unlike terms and add them :

[tex] =\tt {x}^{8} + {2x}^{4} + 1 + \tt {2x}^{4} + {x}^{2} + 1[/tex]

[tex] = \tt {x}^{2} + {x}^{2} + {x}^{2} + {x}^{2} + {2x}^{2} + {2x}^{2} + {2x}^{2} + {2x}^{2} + {x}^{2} + 1 + 1 [/tex]

[tex] =\tt {13x}^{2} + 2[/tex]

○=> Therefore :

[tex]\color{hotpink} = \tt {x}^{8} + {2x}^{4} + 1 + \tt {2x}^{4} + {x}^{2} + 1 \color{plum}= {13x}^{2} + 2[/tex]

The data in the tables below were collected from first year students at a community college. The variable is "number of credit cards." If the table below is a complete probability distribution, what must be the value of T?
Number of Credit Cards (x) 0 1 2 3 4 5
Number of Students (f) 122 40 28 2 2 6
Probability P(x) 0.61 T 0.14 0.01 0.01 0.03
A. 0.4
B. 0.04
C. 0.2
D. 0.02

Answers

Solution :

It is given that P(x) is said to be complete or proper probability distribution if it satisfies the following two ways :

1. [tex]$P(x) \geq 0$[/tex]

2. [tex]$\sum_z P(x) = 1$[/tex]

Now consider,

[tex]$\sum_z P(x) = 1$[/tex]

⇒ [tex]$P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)+P(x=5)=1$[/tex]

⇒ [tex]$0.61+T+0.14+0.01+0.01+0.03=1$[/tex]

⇒ [tex]$0.8+T=1$[/tex]

⇒ [tex]$T=1-0.8$[/tex]

       = 0.2

Therefore, the value of T is 0.2

Thus, option (c) is correct.

PLS HELP I WILL GIVE BRAINllESTFind the surface area of the rectangular prism.
2 mi
8 mi
1 mi

Answers

Answer:

A=2(wl+hl+hw)

Step-by-step explanation:

The cost of attending your college has once again gone up. Although you have been told that education is investment in human capital, which carries a return of roughly 10% a year, you (and your parents) are not pleased. One of the administrators at your university/college does not make the situation better by telling you that you pay more because the reputation of your institution is better than that of others. To investigate this hypothesis, you collect data randomly for 100 national universities and liberal arts colleges from the 2000-2001 S. News and World Report annual rankings. Next you perform the following regression.
cost 7,311.173,985.20 . Reputation - 0.20 Size +8,406.79. Dpriv
(0.13 2,058.63 (664.58) - 416.38 Dibart - 2,376.51 Dreli ion (2,154.35) (1,121.92) 1,007.56) R' = 0.72 SER 3, 773.35
where Cost is Tuition, Fees, Room and Board in dollars, Reputation is the index used in U.S. News and World Report (based on a survey of university presidents and chief academic officers), which ranges from 1 ("marginal) to 5 ("distinguished"), Size is the number of undergraduate students, and Dpriv, Dlibart, and Dreligion are binary variables indicating whether the institution is private, a liberal arts college, and has a religious affiliation. The numbers in parentheses are heteroskedasticity-robust standard errors
(a) Interpret the results and determine whether or not the coefficients are significantly dif- ferent fromzero. Do the coefficients have the expected sign?
(b) What is the forecasted cost for a liberal arts college, which has no religious affiliation, a size of 1,500 students and a reputation level of 4.5? (All liberal arts colleges are private.)
(c) Suppose that you switch from a private university to a public university, which has a ranking tha's 0.5 lower and 10,000 more students. What is the effect on your cost?
(d) What is the p-value for the null hypothesis that the coefficient on Size is equal to zero? Based on this, should you eliminate the variable from the regression? Why or why not?
(e) You want to test simultaneously the hypotheses ha and bert - 0. Your regression package returns an F-statistic of 1.23. Can you reject the null hypothesis?
(f) Eliminating the Size and Dlibartvariables from your regression, the estimated regression becomes 5,450.35+3,538.84 .
Reputation 1,772.35 (590.49) cost 10,935-70.Dpriv-2, 783.31-Dreligion 575.51) (1,150.57) R20.72 SER- 3,792.68 Why do you think that the effect of attending a private institution has increased now?

Answers

Answer:

a) Interpret the results and determine whether or not the coefficients are significantly dif- ferent fromzero. Do the coefficients have the expected sign?

An increase in reputation by one category, increases the cost by

roughly $3,985. The larger the size of the college/university, the

lower the cost. An increase of 10,000 students results in a $2,000

lower cost. Private schools charge roughly $8,406 more than public

schools. A school with a religious affiliation is approximately $2,376

cheaper, presumably due to subsidies, and a liberal arts college also

charges roughly $416 less. There are no observations close to the

origin, so there is no direct interpretation of the intercept. Other than

perhaps the coefficient on liberal arts colleges, all coefficients have

the expected sign.

(b) What is the forecasted cost for a liberal arts college, which has no religious affiliation, a size of 1,500 students and a reputation level of 4.5? (All liberal arts colleges are private.)

7,311.17 + 3,985.20×4.5 – 0.20×1500

+ 8,406.79×1 – 416.38×1 – 2,376.51×0=$ 32,935

(c) Suppose that you switch from a private university to a public university, which has a ranking tha's 0.5 lower and 10,000 more students. What is the effect on your cost?

Roughly $ 12,400. Since over the four years of education, this

implies approximately $50,000, it is a substantial amount of money

for the average household.

(d) What is the p-value for the null hypothesis that the coefficient on Size is equal to zero? Based on this, should you eliminate the variable from the regression? Why or why not?

Using a one-sided alternative hypothesis, the p-value is 6.2 percent. Variables should not be eliminated simply on grounds of a statistical test. The sign of the coefficient is as expected, and its magnitude makes it important. It is best to leave the variable in the regression and let the reader decide whether or not this is convincing evidence that the size of the university matters

(e) You want to test simultaneously the hypotheses ha and bert - 0. Your regression package returns an F-statistic of 1.23. Can you reject the null hypothesis?

The critical value for F2,∞ is 3.00 (5% level) and 4.61 (1% level). Hence you cannot reject the null hypothesis in this case

(f) Eliminating the Size and Dlibartvariables from your regression, the estimated regression becomes 5,450.35+3,538.84 .

Reputation 1,772.35 (590.49) cost 10,935-70.Dpriv-2, 783.31-Dreligion 575.51) (1,150.57) R20.72 SER- 3,792.68 Why do you think that the effect of attending a private institution has increased now?

Step-by-step explanation:

a.An increase in reputation by one category, increases the cost by

roughly $3,985. The larger the size of the college/university, the

lower the cost. An increase of 10,000 students results in a $2,000

lower cost. Private schools charge roughly $8,406 more than public

schools. A school with a religious affiliation is approximately $2,376

cheaper, presumably due to subsidies, and a liberal arts college also

charges roughly $416 less. There are no observations close to the

origin, so there is no direct interpretation of the intercept. Other than

perhaps the coefficient on liberal arts colleges, all coefficients have

the expected sign.

b.7,311.17 + 3,985.20×4.5 – 0.20×1500

+ 8,406.79×1 – 416.38×1 – 2,376.51×0=$ 32,935

c.Roughly $ 12,400. Since over the four years of education, this

implies approximately $50,000, it is a substantial amount of money

for the average household.

d.Using a one-sided alternative hypothesis, the p-value is 6.2 percent. Variables should not be eliminated simply on grounds of a statistical test. The sign of the coefficient is as expected, and its magnitude makes it important. It is best to leave the variable in the regression and let the reader decide whether or not this is convincing evidence that the size of the university matters

e.The critical value for F2,∞ is 3.00 (5% level) and 4.61 (1% level). Hence you cannot reject the null hypothesis in this case

Sooooooooo......... I need help

Answers

Yuh we can’t see nun

Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the curves y=x2, 0≤x≤3, y=9, and x=0 about the y-axis.

Volume =

Answers

Answer:

113.08 cm^3

Volume for sphere = 4/3 Pi 3^3

y = x^2 - (x+0) (x+0)< 3 would equal x = 1.25 and y = 2.5 max

then y = 9 and x = 0 around the y axis

We find (1.25, 2.5) (0,9)

y + 1 = 0 + 1.25 + 9

y+ 1 = 10.25

radius therefore = 3^2 = 3

and surface area = pi x 9 =  28.2743338823

= 28.27cm^2 x 4 = 113.1cm

If it is a sphere you then multiple 4/3 pi r^3 is exactly the same as 4pir^2

Step-by-step explanation:

The volume of the solid is [tex]9\pi[/tex] cubic unit.

Volume of solid :

The volume of the solid obtained by rotating the curve [tex]y=f(x)[/tex] is given as,

                        [tex]V=\int\limits^b_a \pi {y^{2} } \, dx[/tex]

Given that, [tex]y=x^{2} ,a=0,b=3[/tex]

Substitute above values in volume formula.

         [tex]V=\int\limits^3_0 \pi{x^{2} } \, dx \\\\V=\pi(\frac{x^{3} }{3} )^{3} _{0}\\\\V=\frac{\pi}{3} (27-0)=9\pi[/tex]

Thus, the volume of the solid is [tex]9\pi[/tex] cubic unit.

Learn more about the volume here:

https://brainly.com/question/1972490

The diagram shows as scale drawing of a playground
The scale of the drawing is 1:500

Answers

Give me more information please..

Answer:

45

Step-by-step explanation:

3+1.5+3+1.5=9

9*500=4500

4500/100=45

What is the value of this expression?
8-4x3^3+11
Answers:
119
23
-89
-17

Answers

[tex]8 - 4( {3}^{3} ) + 11 \\ 8 - 4(27) + 11 \\ 8 - 108 + 11 \\ 8 - 97 \\ - 89[/tex]

If 13 candy bars cost $19.76, how much do 20 candy bars cost?

Answers

19.76/13 = $1.52

$1.52 x 20 = $30.40

Answer:

cost of one candy bar = 19.76/13

= $1.52

cost of 20 candy bars = 1.52x20

= $30.4

pls mark brainliest

HELP HELP HELP


The _____ of a linear equation is ax + by = c where a and b are not both zero


A. Run

B. Y intercept

C. Slope intercept form

D. Standard form

Answers

Answer:

it is option D standard form

Jason is a salesmen at the store. He earns 8.50 per hour, plus a 10% commission on his total weekly sales over 1,000. Last week, Jason worked 18 hours and had total sales of 1,492. Which is the best estimate for the total amount of money Jason earned last week

Answers

8.50x18=153
1492x.10(10%)=14.92
You can then round this to get 153+15 which equals 168


Write an expression showing the sum of 8 and a number f.
Show Your Work

Answers

Answer:

8+f

Step-by-step explanation:

Explain how to find 25%of 100 not just the answer explain how

Answers

Explanation on how to find:

.25 x 100

Math question 35 points please answer correctly

Answers

Answer:

B. Decreasing; The slope of the line between points D and E is negative

Step-by-step explanation:

The graph clearly shows that the speed is decreasing between these points. This narrows down your options to either Option B or Option D. A completely vertical line has a slope of undefined. The line is not completely vertical and undefined, so Option D is incorrect. This leaves B as correct. A negative slope is a line rising right to left.

Hope it helps!

Khan academy Help please

Answers

Answer:

B, C and F

Step-by-step explanation:

A constant is where a variable or number is on its own

B - 2x-4 (4 is the constant)

C - 8x+y (y is the constant)

F - 7+4x (7 is the constant)

dont mind me just typing random stuff to be able to ask a question

parallelograms help!!

Answers

Answer:

20 degrees

Step-by-step explanation:

Answer:

z = 36

Step-by-step explanation:

124 + 2z + 16 = 180

-16          -16

108 + 2z = 180

-108          -108

2z = 72

/2    /2

z = 36

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