Question below..................

Answer: [tex]y = \frac{1}{3}x-2[/tex]

This is the same as writing y = (1/3)x - 2

Slope = 1/3

y intercept = -2

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

Explanation:

We first need to determine the slope

[tex]m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{-3-3}{-3-15}\\\\m = \frac{-6}{-18}\\\\m = \frac{1}{3}\\\\[/tex]

Then we'll use this value of m, along with (x,y) = (15,3), to determine the y intercept b value.

[tex]y = mx+b\\\\3 = (1/3)(15)+b\\\\3 = 5+b\\\\3 - 5 = b\\\\-2 = b\\\\b = -2[/tex]

You could use the other point (-3,-3) as well

[tex]y = mx+b\\\\-3 = (1/3)(-3)+b\\\\-3 = -1+b\\\\-3 +1 = b\\\\-2 = b\\\\b = -2[/tex]

Either way, we end up with the same y intercept. You don't need to show both sets of steps when computing b. You only need to pick one set  of steps.

Since m = 1/3 and b = -2, we go from y = mx+b to y = (1/3)x - 2 which is the same as writing [tex]y = \frac{1}{3}x-2[/tex]

Answer:

y = 7/18 - 11/6

Step-by-step explanation:

y2 - y1 / x2 - x1

-3 - 4 / -3 - 15

-7/-18

= 7/18

y = 7/18x + b

4 = 7/18(15) + b

4 = 35/6 + b

-11/6 = b

Add the 3 ratio portions together: 1 + 4 + 7 = 12

Divide total length by 12:

84/12 = 7

Multiply each ratio portion by 7:

1 x 7 = 7

4 x 7 = 28

7 x 7 = 49

The longest piece is 49 cm

Answer:

49cm

Step-by-step explanation:

1x+4x+7x=84

12x=84

X=7

4*7=28

7*7=49

So we can see 49cm is the longest.

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The given equation is :

here, 5x is on both sides, so they cancel out. hence value of x can't be determined.

so, the equation have no solution.

correct choice is B.) no solution

5x -2 = -2 + 5x

Add 2 to both sides to get 5x = 5x

Because this is true then any value of x will still make the equation true.

This means there are infinite solutions.

Answer: a) infinite solution

Step-by-step explanation:

use y^2=4px

p is the distance from the vertex to the focus, which is 8 units left

y^2=4(-8)x

y^2=-32x

Use y²=4px  where p is the distance from the vertex to the focus,

p = 8 to the left,

so p = -8

Plug that in:

y² = 4(-8)x

Sole / simplify / multiply:

y² = -32x

(information from Arthur D. on wyzant.com)

Answer:

A.T.Q

Let x number of passed students

x% of 22 = 20

x/100 × 22 = 20

x/100 = 20/22

x = 20/22 × 100

x = 90.91

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

(9, 6)

Step-by-step explanation:

add equations together: (x + y = 15) + (x - y = 3) --> x + x + y - y = 15 + 3 --> 2x = 18

isolate the variable: 2x/2 = 18/2 --> x = 9, so the x-coordinate is 9

substitute 9 in x's place in one of the equations: 9 + y = 15

solve for y: y = 15 - 9 --> y = 6, so the y-coordinate is 6

combine x and y coordinates together: (9, 6)

Answer:

5

Step-by-step explanation:

D=[tex]\sqrt{ (-3-2)^{2} +(-7--7)^2[/tex]

D=[tex]\sqrt{5^{2}+0^2 }[/tex]

D=5

Answer:37.9 or 38

Step-by-step explanation:

Answer:B

Step-by-step explanation: if they have listened to something different than they actually like then you will get a different answer than their fav song

Answer:

y = 1/3x + 1

Step-by-step explanation:

Answer:

[tex]12y - 4x = 12) \div 12 \\ y - \frac{1}{3}x = 1 \\ y = \frac{1}{3}x + 1[/tex]

Answer:

Determine what principal amount Aunt Mildred should have invested so that only your tuition for all four or two years would be covered for your top choice school

Answer:

A

Step-by-step explanation:

Look at the line and wherever the line meets with the miles then find the miles and that's your answer.

If you want to make sure, do "50(mph) * 2(hours)" and it should land on "100"

The equation of the line is x = -7

The points are given as

(-7, -2) and (-7, 8)

See that the x coordinate of both points are the same.

This means that the line equation is a vertical line that passes through x = -7

Hence, the equation of the line is x = -7

Read more about linear equations at:

https://brainly.com/question/14323743

#SPJ1

Step-by-step explanation:

option A is correct

as, point S lies on = -7, 4

and point T lies on = 5, 4

so, diameter is 12 so radius = diameter/2 = 12/2 = 6

and center is - 1 , 4 as the diameter lies on 4 in y axis

hope this answer helps you dear...take care and may u have a great day ahead...also may ur exam/test/assignment goes well!.

First, you do

42 divided by 12

42/12

That will equal = 3.5

So the correct answer is the first one

$3.50 per carton

Answer:

14.619

Step-by-step explanation:

10.043 + 4.576 = 14.619

Answer:

-443 is the 90th term

Step-by-step explanation:

n=90th

Given: 7-5n

> 7-5(90)

> 7-450

> -443

Answer:i don't know

Step-by-step explanation:

How much the streaming services charge per download song.

Answer:

When using formulas in application, or memorizing them for tests, it is helpful to note the similarities and differences in the formulas so you don’t mix them up. Compare the formulas for savings annuities vs payout annuities.

Savings Annuity Payout Annuity

P

N

=

d

(

(

1

+

r

k

)

N

k

−

1

)

(

r

k

)

P

0

=

d

(

1

−

(

1

+

r

k

)

−

N

k

)

(

r

k

)

PAYOUT ANNUITY FORMULA

P

0

=

d

(

1

−

(

1

+

r

k

)

−

N

k

)

(

r

k

)

P0 is the balance in the account at the beginning (starting amount, or principal).

d is the regular withdrawal (the amount you take out each year, each month, etc.)

r is the annual interest rate (in decimal form. Example: 5% = 0.05)

k is the number of compounding periods in one year.

N is the number of years we plan to take withdrawals

Answer:

600,000

Step-by-step explanation:

60,000 x 10

Answer:

hello

Step-by-step explanation:

have a great day...

Answer:

y + -24.8 = -13

Step-by-step explanation:

y + 6.2x(-4) = -13

y + -24.8 = -13

To determine the final answer you would need to figure out the value of Y.

The shower head follows a linear function

From the complete question, we understand that:

Each minute, 5 gallons of water are used

This mean that, the possible ordered pairs are:

[tex]\mathbf{(x,y)= \{(1,5),(2,10),(3,15).....\}}[/tex]

When the shower head is used for 0 minutes we have:

[tex]\mathbf{(x,y)= \{(1-1,5-5)\}}[/tex]

[tex]\mathbf{(x,y)= \{(0,0)\}}[/tex]

The ordered pair when the shower head is used for 0 minutes is (0,0)

The location on the graph is called the y-intercept.

Read more about ordered pairs at:

https://brainly.com/question/13688667

Answer:

1) v= -3, -5

2) n= 3, -1

3) i don't see a solution so- no solution

4) m= -11/5, 5 or -2 1/2, 5

5) k= 13, 8

6) b= 3.53867

7) ????

8) ????

9) n= -4, -6

10) m= 1.78233

11) x= 2/3, -1

12) x= 1, 0.2(1/5)

13) a= -1/3, 4/3

14) b= -3/7, -8

15) b= 2, -3

16) x= 4, -2

im way too lazy to put in my work. sorry.

Answer:

c

Step-by-step explanation:

subtract 5.4 from 9.9 to get the length of the triangle then multiply by 3.3 and 1/2 to get the area of the triangle then add that to the area of the rectangle by multiplying 5.4 by 3.3

4.5 x 3.3 x 1/2 = 7.425

5.4 x 3.3 = 17.82

7.425 + 17.82 = 25.245

Answer:

The last one 0.35(10)

Step-by-step explanation:

okay 35/100

decimals are set up like this

5.432

The 5 is in the wholes

4 is the tenths

3 in the hundredth

2 in the thousandths

so since is it out of 100 you put the number in the hundredth

hope this helpsss :)

Answer:

Step-by-step explanation:

10+18+25+27+35+50=165

n=6

mean =165/6=27.5

x   x- mean    (x-mean)²

10     -17.5          306.25

18      -9.5            90.25

25     -2.5              6.25

27     -0.5              0.25

35      7.5            56.25

50   22.5          506.25

      _____      ________

sum     0             965.5

       _____     _________

standard deviation

[tex]=\sqrt{\frac{sum}{n-1} } \\=\sqrt{\frac{965.5}{5} } \\=\sqrt{193.1} \\\approx 13.896[/tex]