Write the equation of the line in slope-intercept form.
11. A line that passes through (3, 1) and (0, -3)

Answers

Answer 1

Answer:

y=(4/3)x - 3

Step-by-step explanation:

Use equation (y-y1) =m (x-x1)

slope is m= (y1-y2)/(x1-x2)=1+3/3-0=4/3

use one of the points and this slope to complete the equation

(y-1)=(4/3)(x-3) distribute and add1 to both sides

y=(4/3)x-(3*4/3)+1

y=(4/3)x - 3

Answer 2

Answer:

y =  [tex]\frac{4}{3}[/tex] x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (3, 1) and (x₂, y₂ ) = (0, - 3)

m = [tex]\frac{-3-1}{0-3}[/tex] = [tex]\frac{-4}{-3}[/tex] = [tex]\frac{4}{3}[/tex]

The line crosses the y- axis at (0, - 3) ⇒ c = - 3

y = [tex]\frac{4}{3}[/tex] x - 3 ← equation of line


Related Questions

science pls answer I give brainliest

Answers

Answer:

b

Step-by-step explanation:

because air is cooler in the mountains so it'll be cold not humid

4
A line has slope 3. Through which two points could this line pass?
a. (24, 19), (8, 10)
b. (10,8), (16, 0)
C. (28, 10), (22, 2)
d. (4, 20), (0, 17)

Answers

Try the app Conects
Question is not clear

I'm not sure what to do about this problem, so please help me out.

Answers

Answer:

21

Step-by-step explanation:

Let the three consecutive integers be;

    x , x + 1 and x + 2:

The sum of squares of the two smaller numbers:

  The two smaller numbers are x and x+ 1

Sum of their squares:

           x² + (x+1)²;

        x² + x² + 2x + 1 = 2x² + 2x + 1

It is 45 more than the square of the larger number:

    Larger number = x + 2

        (x+2)² = x² + 4x + 4

 45 more;

        x² + 4x + 4 + 45  = x² + 4x + 49

Both are equal:

 2x² + 2x + 1 =  x² + 4x + 49  

  2x² - x² + 2x - 4x + 1 - 49 = 0

      x² - 2x - 48 = 0

      x² - 6x + 8x - 48 = 0

      x(x - 6) + 8(x - 6) = 0

      (x + 8)(x-6) = 0

      x + 8 = 0 or x - 6 = 0

      x  = -8 or x = 6

We choose x = 6 because it makes the solution true as a positive integer

  Sum of the three numbers:

     x + x + 1 + x + 2 = 6 + 6 + 1 + 6 + 2 = 21

   

The function f(x) = 4x + 5 has domain 0sxs 50. What is its range?
The range of the function is

Answers

9514 1404 393

Answer:

  range: 5 ≤ f(x) ≤ 205

Step-by-step explanation:

You can put the extreme values of x in this linear function to see its range:

  f(0) = 4·0 +5 = 5

  f(50) = 4·50 +5 = 205

The range is 5 ≤ f(x) ≤ 205.

I need to know 2/7 divided by 6 =

Answers

it’s an irrational number just use a call

Answer: 1/21

[tex]\frac{2}{7}:6=\frac{2}{7}.\frac{1}{6}=\frac{2}{42}=\frac{1}{21}[/tex]

Step-by-step explanation:

Please do for me thank you I am

Answers

4.)    top row: 1,   2,    4,     6,      8,    10

bottom row: 25, 50, 100, 150, 200, 250

5.)    top row: 1,    2,     4,      6,      8,     10

bottom row: 50, 100, 200, 300, 400, 500


charges competition fees of $250 plus $75 per week for classes. What is the
total charge for 40 weeks?

Answers

Answer:

$3,250

Step-by-step explanation:

You take the initial fee of 250 then add 75x40

250x75(40)=$3250

Look at picture please !! I really need help thank you !

Answers

C
X is positive, Y is negative

Have a great day!

I’ll give brainliest. Pls help me

Answers

Answer:

Interpolation refers to using the data in order to predict data within the dataset. Extrapolation is the use of the data set to predict beyond the data set.

Step-by-step explanation:

Extrapolation and interpolation are both used to estimate hypothetical values for a variable based on other observations. There are a variety of interpolation and extrapolation methods based on the overall trend that is observed in the data.

A researcher wishes to​ estimate, with ​% ​confidence, the population proportion of adults who eat fast food four to six times per week. Her estimate must be accurate within ​% of the population proportion.

Answers

Answer:

The minimum sample size required is 1068.

Step-by-step explanation:

The complete question is:

A researcher wishes to​ estimate, with 95​%  confidence, the population proportion of adults who eat fast food four to six times per week. Her estimate must be accurate within 3​%  of the population proportion.

​No preliminary estimate is available. Find the minimum sample size needed.

Solution:

The (1 - α)% confidence interval for the population proportion is:

[tex]CI=\hat p\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

The margin of error for this interval is:

[tex]MOE= z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

The information provided is:

[tex]MOE=0.03\\\text{Confidence level}=95\%[/tex]

Assume that the sample proportion is 50%.

The critical value of z is, 1.96.

Compute the minimum sample size required as follows:

[tex]MOE= z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

      [tex]n=[\frac{z_{\alpha/2}\cdot \sqrt{\hat p(1-\hat p)}}{MOE}]^{2}[/tex]

         [tex]=[\frac{1.96\times\sqrt{0.50(1-0.50)}}{0.03}]^{2}\\\\=1067.1111\\\\\approx 1068[/tex]

Thus, the minimum sample size required is 1068.

pls help me 98+29 x=96+33x

Answers

Answer:

x=1/2

Step-by-step explanation:

98+29x=96+33x

Step 1: Simplify both sides of the equation.

29x+98=33x+96

Step 2: Subtract 33x from both sides.

29x+98−33x=33x+96−33x

−4x+98=96

Step 3: Subtract 98 from both sides.

−4x+98−98=96−98

−4x=−2

Step 4: Divide both sides by -4.

−4x

−4

=

−2/−4

x=1/2

what is the composition f•g if f(x)=4-2x and g(x)=3x^2

Answers

Answer: 4-6x^2

Step-by-step explanation:

f•g = f(g(x))

f(g(x)) = 4-2(3x^2) = 4-6x^2

The following graph shows the time required to install fencing of different lengths. 1 1 2 2 3 3 4 4 5 5 20 20 40 40 60 60 80 80 100 100Time (hours)Length of fencing (meters) Which statements about the graph are true? Choose all answers that apply:

Answers

Answer:

b is the answer

Step-by-step explanation:

4 is hours and 60 m

Answer:

The answer is B

Step-by-step explanation:

"The point shows (4,60) shows that it takes 4 hours to install 60m of fencing"

I did this on khan too

hope this helps :)

A cake is removed from an oven. The temperature, in degrees Fahrenheit, of the cake after t minutes can be modeled by the equation, f(x)=70+140e^-0.024t.

What is the temperature of the cake at the moment it is removed from the oven and about how long will it take for the cake to reach a temperature of 80F ? Round your answer to the nearest whole minute.

Thank you (:

Answers

9514 1404 393

Answer:

210 °F110 minutes

Step-by-step explanation:

A graphing calculator answers the questions easily.

At t=0, f(0) = 210 . . . degrees F

f(t) = 80 at about t=109.96, so it takes about 110 minutes to reach 80 °F.

__\

Working "by hand"

The exponential term is 1 at t=0, so the temperature then is ...

  f(0) = 70 +140·1 = 210 . . . degrees F

The temperature of the cake from the oven is 210 °F.

__

The time when the temperature is 80 °F will be ...

  80 = 70 +140e^(-.024t)

  10 = 140e^(-.024t)

  10/140 = e^(-.024t)

  ln(1/14) = -0.024t

  t = ln(1/14)/-0.024 ≈ 109.9607

  t ≈ 110 when f(t) = 80

It takes about 110 minutes for the cake to cool to 80 °F.

I WILL GIVE BARINLEST WHO HELP ME
2

Answers

Answer:

30 miles

Step-by-step explanation:

50/5 is 10 and 10 times 3 is 30.

Answer:

its 30 miles for february

Step-by-step explanation:

50/5 = 10 for january

10*3 = 30 for february

this 5th question ...please answer ​

Answers

Answer:

Im 47 and i have no idea

Step-by-step explanation:

thanks for 5 points

Please answer all ASAP (no explanation needed), extra points and will mark brainliest (don’t comment “idk” it’s not helpful :(, u will be reported)


1. After buying some bottle caps for $81.74, Peter has $6.74 left. How much money did Peter have to begin with?

2. Henry has $97.95 and Marilyn has $74.71. How much more does Henry have than Marilyn?

3. Helen has $84.51 and Joseph has $17.93. How much money do they have together?

4. Emily has $27.09 and David has $6.17. How much more does Emily have than David?

5. Cynthia has $74.45 and Amy has $38.44. How much more does Cynthia have than Amy?

6. After buying some Skittles for $71.18, Irene has $17.36 left. How much money did Irene have to begin with?

7. Steven has $98.25 and Joe has $4.97. How much money do they have together?

8. Ralph starts with $74.53 and spends $4.97 on candies. How much money does Ralph have left?

9. Christopher has $26.34 and Beverly has $4.15. How much money do they have together?

10. Eugene gives $2.89 to Sarah. If Eugene started with $56.03, how much money does he have left?

11. Keith has $56.49 and Theresa has $3.43. How much money do they have together?

12. Peter gives $20.85 to Nancy. If Peter started with $84.26, how much money does he have left?

13. Bruce has $67.72 and Charles has $29.62. How much more does Bruce have than Charles?

14. Sandra gives $9.13 to Stephen. If Sandra started with $11.66, how much money does she have left?

15. After buying some marbles for $93.52, Donald has $6.35 left. How much money did Donald have to begin with?

Answers

1: 88.48
2: 23.24
3: 102.44
4: 20.92
5: 36.01
6: 88.54
7: 103.22
8: 69.56
9: 30.49
10: 53.14
11: 59.92
12: 63.41
13: 38.10
14: 2.53
15: 99.87
1. $88.48
2. $23.24
3. $102.44
4. $20.92
5. $36.01
6. $88.54
7. $103.22
8. $69.56
9. $30.49
10. $53.14
11. $59.92
12. $63.41
13. $38.10
14. $2.53
15. $99.87

Find the value of x!!!!!

Answers

Answer:

96 degrees

Step-by-step explanation:

The 144 degrees is on a straight line, meaning the angle next to it inside the triangle and 144 are supplementary. They add up to 180 degrees.

Coincidentally, the other two angles plus the third, unlabeled angle will add up to 180 degrees as well, meaning that the the 48+x = 144 degrees (according the property of equality, which is if a=b and b=c, then a=c). Solve for x from there:

x = 144-48

x = 96

Answer:

I attached a photo of the answer

What single percentage change is equivalent to a 8% increase followed by a 15% increase?

Answers

Answer:

24.2%

Step-by-step explanation:

If we take 100 for example, an 8% increase would make it 108, and a further 15% increase would make it 124.2 and 124.2 is 124.2% of 100 and if we minus the initial value of 100% it would be 24.2%

what is the solution to the inequality? 2 3/5

Answers

Answer: c b< 3 2/15

What are all of the factors pairs of 25

Answers

Answer:

Step-by-step explanation:

1, 5, 25 are the factor pairs and the multiples are 50.

Factor pairs of 25 :

1 , 5, 25

Given ,

Factors of 25 .

Now,

Factor is a number that divides the given number completely and remainder will be zero .

So,

25 = 5*5

25 = 5²

And,

1 and the number itself is an universal factor of any number .

Thus the factors of 25 are:

1, 5 , 25 .

Know more about factors,

https://brainly.com/question/29155845

#SPJ6

PLEASE HELP I HAVE 5 MIN TO TURN THIS IN!!!!
There are two gardens, garden A and garden B are shown in the image below.
Determine if statement 1 is true or false and explain why the statement was true or false

Answers

Answer:

True

Step-by-step explanation:

Perimeter of Garden A

P = 2(w + l)P = 2(2x - 3 + 5(2x - 3) = 2(2x - 3 + 10x - 15) = 2(12x - 18) = 24x - 36

The statement is TRUE

Annie needs $30 to buy a coat she has saved $12 and plans to work as a baby siter to earn $6 per hour which inequality shows the minimum number of hours, n, that annie should work as a babysitter to earn enough to buy a coat?
a 12 + 6n ≤ 30, so n ≤ 3
b 12 + 6n ≥ 30, so n ≤ 3
c 6n ≥30 + 12, so n ≥ 7
d 6n ≤30 + 12, so n ≤ 7

Answers

Answer:

The answer would be B.

Step-by-step explanation:

This is because the total cost is $30 so it can't be c or d. A shows that Annie can only have at least $30. this means that B is the only option left.

If this answer is wrong, I deeply apoligize. I hope you have a great day.

11. At a fund-raiser, Ling raised $19 more than the total amount raised by the swim club. The
total amount raised by the swim club was $235. Circle the amount of money Ling earned.
$66
Ling earned $47
E
$32

Answers

Answer:$66

Step-by-step explanation:

I know it’s extremely late! But I seriously need help!!

Kong took
15
%
15%15, percent fewer seconds than Nolan took to complete his multiplication timed test. Kong took
85
8585 seconds.
How many seconds did Nolan take?

Answers

Answer:

100

Step-by-step explanation:

=(100x-15x )/100=85

=85x/100=85

=85x=8500

=x=8500/85

=x=100

please help will mark brainliest if right

Answers

Answer:

1 & 5

4&8

3& 7

Step-by-step explanation:

HELP ME I HAVE TO PASS
What is the value of x in the solution to this system of equations?
3x+5y=94
x=2y−9

A.x = 7
B.x = 13
C.x = -13
D.x = 10

Answers

B, I used elimination

g(x) = x + 2h (x) = x^2 – 4Find: g(x) • h(x)

Answers

See attachment for math work and answer.

4x < 8
And how to graph it?

Answers

Answer:

x<2

put a circle (unsahded) on number 2 and a line on all the sides to the left of 2 , like through 1, 0 , -1 ....

Step-by-step explanation:

4x<8

divide by 4

x<2

MARK YOU BRAINLIST PLEASE ANSWER A small airplane flies from Big Lake to Pine City every day, with a 30-minute layover in Summerville. The distance between Big Lake and Summerville is 375 miles, and the distance between Summerville and Pine City is 525 miles. If the airplane flies at an average speed of 200 mph, how long does the whole trip (including any stops) from Big Lake to Pine City take?

Answers

Answer:

5 hours

Step-by-step explanation:

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